Contact details +6492136512
Prof Carlo Laing MSc, PhD, NZMS
Professor in Mathematics
School of Mathematical and Computational SciencesProfessional
Qualifications
- Master of Science - University of Auckland (1994)
- Doctor of Philosophy - University of Cambridge (1998)
Fellowships and Memberships
- Member, New Zealand Mathematical Society (Fellow) (2016)
Prizes and Awards
- New Zealand Mathematical Society Research Award - New Zealand Mathematical Society (2018)
Research Expertise
Area of Expertise
Field of research codes
Applied Mathematics (010200):
Biological Mathematics (010202):
Dynamical Systems in Applications (010204):
Mathematical Sciences (010000):
Numerical and Computational Mathematics (010300)
Research Projects
Summary of Research Projects
| Position | Current | Completed |
|---|---|---|
| Project Leader | 1 | 2 |
Current Projects
Project Title: Function from structure: accurate reduced models of neuronal networks
Date Range: 2018 - 2021
Funding Body: Royal Society of New Zealand
Project Team:
- Prof Carlo Laing - Project Leader
Completed Projects
Project Title: Complexity reduction in neural models
Mathematical models of biological systems provide understanding and predictive power. However, as more information about a particular system is collected, its model becomes increasingly complicated. This makes the models better, because they are becoming more realistic and therefore potentially more useful, but in turn they are becoming harder to simulate and analyse. The aim of this research is to overcome this problem by using recently-developed, so-called 'equation-free' techniques for the study of complex systems, concentrating on a variety of model neural networks. In particular we will study the respiratory neural system. This complex system regulates breathing by sending electrical signals to the diaphragm and other respiratory muscles, causing them to periodically contract and relax. Equation-free techniques allow one to automatically simplify a complex system such as the respiratory neural network by using judiciously designed computer simulations to capture the 'essence' of the original complex system in terms of the correct variables. This provides insights and understanding that cannot be found in any other way.
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Date Range: 2009 - 2012
Funding Body: Marsden Fund - Full
Project Team:
- Prof Carlo Laing - Project Leader
- A/Pro Alona Ben-Tal - Team Member
Research Outputs
Journal
Song, J., Laing, CR., & Liu, S. (2024). Ion channels and the diversity of spontaneous firing in anterior pituitary corticotrophs: A dynamical analysis. Communications in Nonlinear Science and Numerical Simulation. 131
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2023). Chimeras in phase oscillator networks locally coupled through an auxiliary field: Stability and bifurcations. Chaos. 33(8)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Omel’chenko, OE. (2023). Periodic solutions in next generation neural field models. Biological Cybernetics. 117(4-5), 259-274
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2023). Chimeras on a ring of oscillator populations. Chaos: an interdisciplinary journal of nonlinear science. 33(1), Retrieved from https://pubs.aip.org/aip/cha/article/33/1/013121/2877586/Chimeras-on-a-ring-of-oscillator-populations
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Krauskopf, B. (2022). Theta neuron subject to delayed feedback: a prototypical model for self-sustained pulsing. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 478(2266)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2022). Chimeras on annuli. Chaos. 32(8)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Kemeth, FP., Bertalan, T., Thiem, T., Dietrich, F., Moon, SJ., Laing, CR., . . . Kevrekidis, IG. (2022). Learning emergent partial differential equations in a learned emergent space. Nature Communications. 13(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Means, S., & Laing, CR. (2022). Explosive behaviour in networks of Winfree oscillators. Chaos, Solitons and Fractals. 160
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Omel'Chenko, O., & Laing, CR. (2022). Collective states in a ring network of theta neurons. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 478(2259)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2022). Chimeras with uniformly distributed heterogeneity: Two coupled populations. Physical Review E. 105(2)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2021). Interpolating between bumps and chimeras. Chaos. 31(11)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Thiem, TN., Kemeth, FP., Bertalan, T., Laing, CR., & Kevrekidis, IG. (2021). Global and local reduced models for interacting, heterogeneous agents. Chaos. 31(7)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2021). Effects of degree distributions in random networks of type-I neurons. Physical Review E. 103(5)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., Bläsche, C., & Means, S. (2021). Dynamics of Structured Networks of Winfree Oscillators. Frontiers in Systems Neuroscience. 15
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Means, SA., Bläsche, C., & Laing, CR. (2020). A permutation method for network assembly. PLoS ONE. 15(10 October 2020)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Krauskopf, B., & Laing, CR. (2020). Novel computational approaches and their applications. Journal of Computational Dynamics. 7(2)
[Journal article]Authored by: Laing, C.Edited by: Laing, C.
[Journal article]Authored by: Laing, C.Edited by: Laing, C.
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Bläsche, C., Means, S., & Laing, CR. (2020). Degree assortativity in networks of spiking neurons. Journal of Computational Dynamics. 7(2), 401-423 Retrieved from https://www.aimsciences.org/article/doi/10.3934/jcd.2020016
[Journal article]Authored by: Laing, C.Edited by: Laing, C.
[Journal article]Authored by: Laing, C.Edited by: Laing, C.
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Bick, C., Goodfellow, M., Laing, CR., & Martens, EA. (2020). Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. Journal of Mathematical Neuroscience. 10(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Thiem, TN., Kooshkbaghi, M., Bertalan, T., Laing, CR., & Kevrekidis, IG. (2020). Emergent Spaces for Coupled Oscillators. Frontiers in Computational Neuroscience. 14
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Omel'Chenko, O. (2020). Moving bumps in theta neuron networks. Chaos. 30(4)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Bläsche, C. (2020). The effects of within-neuron degree correlations in networks of spiking neurons. Biological Cybernetics. 114(3), 337-347
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2019). Dynamics and stability of chimera states in two coupled populations of oscillators. Physical Review E. 100(4)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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McCulloch, K., Roberts, MG., & Laing, CR. (2019). Generalised probability mass function for the final epidemic size of an SIR model on a line of triangles network. Mathematical Biosciences. 311, 49-61
[Journal article]Authored by: Laing, C., Roberts, M.
[Journal article]Authored by: Laing, C., Roberts, M.
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Laing, CR. (2018). Chaos in small networks of theta neurons. Chaos. 28(7), Retrieved from https://aip.scitation.org/doi/pdf/10.1063/1.5028515
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2018). The Dynamics of Networks of Identical Theta Neurons. Journal of Mathematical Neuroscience. 8(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Bertalan, T., Wu, Y., Laing, C., Gear, CW., & Kevrekidis, IG. (2017). Coarse-grained descriptions of dynamics for networks with both intrinsic and structural heterogeneities. Frontiers in Computational Neuroscience. 11
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., bertalan, T., wu, Y., gear, W., & kevrekidis, I. (2017). Coarse-Grained Descriptions of Dynamics for Networks with Both Intrinsic and Structural Heterogeneities. Frontiers in Computational Neuroscience. 11
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR. (2017). Chimeras in two-dimensional domains: Heterogeneity and the continuum limit. SIAM Journal on Applied Dynamical Systems. 16(2), 974-1014
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., Choi, M., Bertalan, T., & Kevrekidis, IG. (2016). Dimension reduction in heterogeneous neural networks: generalized Polynomial Chaos (gPC) and ANalysis-Of-VAriance (ANOVA). Eur. Phys. J. Special Topics. 225, 1165-1180
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Choi, M., Bertalan, T., Laing, CR., & Kevrekidis, IG. (2016). Dimension reduction in heterogeneous neural networks: Generalized Polynomial Chaos (gPC) and ANalysis-Of-VAriance (ANOVA). European Physical Journal: Special Topics. 225(6-7), 1165-1180
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Rajendran, K., Tsoumanis, AC., Siettos, CI., Laing, CR., & Kevrekidis, IG. (2016). Modeling heterogeneity in networks using polynomial chaos. International Journal for Multiscale Computational Engineering. 14(3), 291-302
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2016). Travelling waves in arrays of delay-coupled phase oscillators. Chaos. 26(9)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2016). Bumps in small-world networks. Frontiers in Computational Neuroscience. 10(JUN)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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McCulloch, K., Roberts, MG., & Laing, CR. (2016). Exact analytical expressions for the final epidemic size of an sir model on small networks. ANZIAM Journal. 57(4), 429-444
[Journal article]Authored by: Laing, C., Roberts, M.
[Journal article]Authored by: Laing, C., Roberts, M.
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Thul, R., Coombes, S., & Laing, CR. (2016). Neural Field Models with Threshold Noise. Journal of Mathematical Neuroscience. 6(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Panaggio, MJ., Abrams, DM., Ashwin, P., & Laing, CR. (2016). Chimera states in networks of phase oscillators: The case of two small populations. Physical Review E. 93(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2015). Exact neural fields incorporating gap junctions. SIAM Journal on Applied Dynamical Systems. 14(4), 1899-1929
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2015). Chimeras in networks with purely local coupling. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 92(5)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Kevrekidis, IG. (2015). Equation-free analysis of spike-timing-dependent plasticity. Biological Cybernetics. 109(6), 701-714
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2015). Exact neural fields incorporating gap junctions. SIAM J. Applied Dynamical Systems. 14(4), 1899-1929 Retrieved from http://epubs.siam.org/doi/abs/10.1137/15M1011287
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Moon, SJ., Cook, KA., Rajendran, K., Kevrekidis, IG., Cisternas, J., & Laing, CR. (2015). Coarse-Grained Clustering Dynamics of Heterogeneously Coupled Neurons. Journal of Mathematical Neuroscience. 5(1), 1-20
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2014). Numerical Bifurcation Theory for High-Dimensional Neural Models. Journal of Mathematical Neuroscience. 4(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2014). Derivation of a neural field model from a network of theta neurons. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 90(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2014). Taking the Pulse. Physics. 7(10), 1-3
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Omel'chenko, OE., Wolfrum, M., & Laing, CR. (2014). Partially coherent twisted states in arrays of coupled phase oscillators. Chaos. 24(2)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Shiau, L., & Laing, CR. (2013). Periodically forced piecewise-linear adaptive exponential integrate-and-fire neuron. International Journal of Bifurcation and Chaos. 23(10)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2012). Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks. Chaos. 22(4)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., Zou, Y., Smith, B., & Kevrekidis, IG. (2012). Managing heterogeneity in the study of neural oscillator dynamics. Journal of Mathematical Neuroscience. 2(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., Rajendran, K., & Kevrekidis, IG. (2012). Chimeras in random non-complete networks of phase oscillators.. Chaos (Woodbury, N.Y.). 22(1), 013132
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Coombes, S., Schmidt, H., Laing, CR., Svanstedt, N., & Wyller, JA. (2012). Waves in random neural media. Discrete and Continuous Dynamical Systems. 32(8), 2951-2970
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2011). Fronts and bumps in spatially extended Kuramoto networks. Physica D: Nonlinear Phenomena. 240(24), 1960-1971
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Coombes, S., & Laing, CR. (2011). Pulsating fronts in periodically modulated neural field models. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 83(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Elvin, AJ., Laing, CR., McLachlan, RI., & Roberts, MG. (2010). Exploiting the Hamiltonian structure of a neural field model. Physica D: Nonlinear Phenomena. 239(9), 537-546
[Journal article]Authored by: Laing, C., McLachlan, R., Roberts, M.
[Journal article]Authored by: Laing, C., McLachlan, R., Roberts, M.
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Wasylenko, TM., Cisternas, JE., Laing, CR., & Kevrekidis, IG. (2010). Bifurcations of lurching waves in a thalamic neuronal network. Biological Cybernetics. 103(6), 447-462
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2010). Chimeras in networks of planar oscillators. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 81(6)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., Frewen, T., & Kevrekidis, IG. (2010). Reduced models for binocular rivalry. Journal of Computational Neuroscience. 28(3), 459-476
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Martens, EA., Laing, CR., & Strogatz, SH. (2010). Solvable model of spiral wave chimeras. Physical Review Letters. 104(4)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Coombes, S., & Laing, C. (2009). Delays in activity-based neural networks. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 367(1891), 1117-1129
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Elvin, AJ., Laing, CR., & Roberts, MG. (2009). Transient Turing patterns in a neural field model. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 79(1)
[Journal article]Authored by: Laing, C., Roberts, M.
[Journal article]Authored by: Laing, C., Roberts, M.
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Laing, CR. (2009). The dynamics of chimera states in heterogeneous Kuramoto networks. Physica D: Nonlinear Phenomena. 238(16), 1569-1588
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Coombes, S., & Laing, CR. (2009). Delays in activity based neural networks. Philosophical Transactions of The Royal Society A. 367, 1117-1129
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR. (2009). Chimera states in heterogeneous networks. Chaos. 19(1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Coombes, S., & Laing, CR. (2009). Instabilities in threshold-diffusion equations with delay. Physica D: Nonlinear Phenomena. 238(3), 264-272
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Kevrekidis, IG. (2008). Periodically-forced finite networks of heterogeneous globally-coupled oscillators: A low-dimensional approach. Physica D: Nonlinear Phenomena. 237(2), 207-215
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Owen, MR., Laing, CR., & Coombes, S. (2007). Bumps and rings in a two-dimensional neural field: Splitting and rotational instabilities. New Journal of Physics. 9
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Coombes, S., Venkov, NA., Shiau, L., Bojak, I., Liley, DTJ., & Laing, CR. (2007). Modeling electrocortical activity through improved local approximations of integral neural field equations. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 76(5)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., Frewen, TA., & Kevrekidis, IG. (2007). Coarse-grained dynamics of an activity bump in a neural field model. NONLINEARITY. 20(9), 2127-2146
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, C., & Coombes, S. (2006). The importance of different timings of excitatory and inhibitory pathways in neural field models. Network: Computation in Neural Systems. 17(2), 151-172
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2006). On the application of "equation-free modelling" to neural systems. Journal of Computational Neuroscience. 20(1), 5-23
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Coombes, S. (2006). The importance of different timings of excitatory and inhibitory pathways in neural field models. Network: Computation in Neural Systems. 17(2), 151-172
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., & Coombes, S. (2005). Mode locking in a periodically forced "ghostbursting" neuron model. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 15(4), 1433-1444
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2005). Spiral waves in nonlocal equations. SIAM Journal on Applied Dynamical Systems. 4(3), 588-606
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR. (2005). [untitled]. Newsletter of the New Zealand Mathematical Society. 93
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Elvin, A., & Laing, CR. (2005). Evaluation of numerical integration schemes for a partial integro-differential equation. Research Letters on Information, Mathematics, and science. 7, 171-186
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR. (2004). Large ghostbursting in sensory cells of electric fish. Nonlinear Studies. 11(3), 469-480
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Huang, X., Troy, WC., Yang, Q., Ma, H., Laing, CR., Schiff, SJ., . . . Wu, JY. (2004). Spiral waves in disinhibited mammalian neocortex. Journal of Neuroscience. 24(44), 9897-9902
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Noonan, L., Doiron, B., Laing, C., Longtin, A., & Turner, RW. (2003). A dynamic dendritic refractory period regulates burst discharge in the electrosensory lobe of weakly electric fish. Journal of Neuroscience. 23(4), 1524-1534
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Longtin, A. (2003). Dynamics of Deterministic and Stochastic Paired Excitatory-Inhibitory Delayed Feedback. Neural Computation. 15(12), 2779-2822
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., Doiron, B., Longtin, A., Noonan, L., Turner, RW., & Maler, L. (2003). Type I burst excitability. Journal of Computational Neuroscience. 14(3), 329-342
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Longtin, A. (2003). Periodic forcing of a model sensory neuron.. Phys Rev E Stat Nonlin Soft Matter Phys. 67(5 Pt 1), 051928
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Longtin, A. (2003). Periodic forcing of a model sensory neuron. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 67(5 1)
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Laing, CR., & Longtin, A. (2003). Periodic forcing of a model sensory neuron. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 67(5), 7
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
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Noonan, L., Doiron, B., Laing, CR., Longtin, A., & Turner, R. (2003). A dynamic dendritic refractory period regulates burst discharge in the electrosensory lobe of weakly electric fish. Journal of Neuroscience. 23(4), 1524-1534
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2003). Dynamics of deterministic and stochastic paired excitatory-inhibitory delayed feedback. Neural Computation. 15, 2779-2822
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., & Troy, WC. (2003). Two-bump solutions of Amari-type models of neuronal pattern formation. Physica D: Nonlinear Phenomena. 178(3-4), 190-218
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Abstract:
63
57
Laing, CR., Doiron, B., Longtin, A., Noonan, L., Turner, R., & Maler, L. (2003). Type I burst excitability. Journal of Computational Neuroscience. 14(3), 329-342
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., & Troy, WC. (2003). PDE methods for nonlocal models. SIAM Journal on Applied Dynamical Systems. 2(3), 487-516
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Abstract:
125
109
Laing, CR., Doiron, B., Longtin, A., & Maler, L. (2002). Ghostbursting: The effects of dendrites on spike patterns. Neurocomputing. 44-46, 127-132
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
12
10
Laing, CR., Troy, WC., Gutkin, B., & Ermentrout, GB. (2002). Multiple bumps in a neuronal model of working memory. SIAM Journal on Applied Mathematics. 63(1), 62-97
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
198
180
Laing, CR., & Chow, CC. (2002). A spiking neuron model for binocular rivalry. Journal of Computational Neuroscience. 12(1), 39-53
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
262
232
Doiron, B., Laing, C., Longtin, A., & Maler, L. (2002). Ghostbursting: A novel neuronal burst mechanism. Journal of Computational Neuroscience. 12(1), 5-25
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
98
92
Laing, CR., & Longtin, A. (2002). A two-variable model of somatic-dendritic interactions in a bursting neuron. Bulletin of Mathematical Biology. 64(5), 829-860
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
22
19
Laing, CR., Doiron, B., Longtin, A., & Maler, L. (2002). Ghostbursting: the effects of dendrites on spike patterns. Neurocomputing. , 127-132
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., & Chow, CC. (2002). A spiking neuron model for binocular rivalry. Journal of Computational Neuroscience. 12(1), 39-53
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2002). A two-variable model of somatic-dendritic interactions in a bursting neuron. Bulletin of Mathematical Biology. 64, 829-860
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., Troy, W., Gutkin, B., & Ermentrout, B. (2002). Multiple bumps in a neuronal model of working memory. SIAM Journal on Applied Mathematics. 63(1), 62-97
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Doiron, B., Laing, CR., Longtin, A., & Maler, L. (2002). Ghostbursting: a novel neuronal burst mechanism. Journal of Computational Neuroscience. 12(1), 5-25
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Gutkin, BS., Laing, CR., Colby, CL., Chow, CC., & Ermentrout, GB. (2001). Turning on and off with excitation: The role of spike-timing asynchrony and synchrony in sustained neural activity. Journal of Computational Neuroscience. 11(2), 121-134
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
145
141
Laing, CR., & Chow, CC. (2001). Stationary bumps in networks of spiking neurons. Neural Computation. 13(7), 1473-1494
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
220
192
Laing, CR., & Longtin, A. (2001). Noise-induced stabilization of bumps in systems with long-range spatial coupling. Physica D: Nonlinear Phenomena. 160(3-4), 149-172
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
34
34
Gutkin, B., Laing, CR., Colby, CL., Chow, CC., & Ermentrout, GB. (2001). Turning on and off with excitation: the role of spike-timing asynchrony and synchrony in sustained neural activity. Journal of Computational Neuroscience. 11(2), 121-134
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., & Chow, CC. (2001). Stationary bumps in networks of spiking neurons. Neural Computation. 13(7), 1473-1494
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2001). Noise-induced stabilization of bumps in systems with long-range spatial coupling. Physica D. 160, 149-172
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Aston, PJ., & Laing, CR. (2000). Symmetry and chaos in the complex Ginzburg-Landau equation. II. Translational symmetries. Physica D: Nonlinear Phenomena. 135(1-2), 79-97
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
10
9
Aston, P., & Laing, CR. (2000). Symmetry and chaos in the complex Ginzburg--Landau equation: II Translational Symmetries. Physica D.. (135), 79-97
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Laing, CR., McRobie, A., & Thompson, JMT. (1999). The post-processed Galerkin method applied to non-linear shell vibrations. Dynamical Systems. 14(2), 163-181
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
24
18
Aston, PJ., & Laing, CR. (1999). Symmetry and chaos in the complex Ginzburg-Landau equation -I. Reflectional symmetries. Dynamical Systems. 14(3), 233-253
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
7
6
Laing, CR. (1998). Rotating waves in rings of coupled oscillators. Dynamics and Stability of Systems. 13(4), 305-318
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
11
10
Laing, C., & Glendinning, P. (1997). Bifocal homoclinic bifurcations. Physica D: Nonlinear Phenomena. 102(1-2), 1-14
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
10
8
Glendinning, P., & Laing, C. (1996). A homoclinic hierarchy. Physics Letters, Section A: General, Atomic and Solid State Physics. 211(3), 155-160
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
11
11
Hirschberg, P., & Laing, C. (1995). Successive homoclinic tangencies to a limit cycle. Physica D: Nonlinear Phenomena. 89(1-2), 1-14
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Read Abstract:
17
17
Persson, M., & Laing, CR. (1993). LOW-DIMENSIONAL BEHAVIOR OF NONLINEAR TEARING MODE DYNAMICS IN A ROTATING PLASMA. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. 3(5), 1155-1168
[Journal article]Authored by: Laing, C.
[Journal article]Authored by: Laing, C.
Read Online:
Book
Laing, CR. (2017). Phase Oscillator Network Models of Brain Dynamics. In A. Moustafa (Ed.) Computational Models of Brain and Behavior. (pp. 505 - 517). : Wiley-Blackwell
[Chapter]Authored by: Laing, C.
[Chapter]Authored by: Laing, C.
Laing, CR. (2016). Waves in Spatially-Disordered Neural Fields: A Case Study in Uncertainty Quantification. In Studies in Mechanobiology, Tissue Engineering and Biomaterials. (pp. 367 - 391).
[Chapter]Authored by: Laing, C.
[Chapter]Authored by: Laing, C.
Read Online:
Read Abstract:
2
Laing, CR. (2014). PDE Methods for Two-Dimensional Neural Fields. In S. Coombes, P. beim Graben, R. Potthast, & J. Wright (Eds.) Neural Fields: Theory and Applications. Berlin Heidelberg: Springer
[Chapter]Authored by: Laing, C.
[Chapter]Authored by: Laing, C.
Read Online:
Laing, C., & Lord, GJ.(2010). Stochastic Methods in Neuroscience.
[Authored Book]Authored by: Laing, C.
[Authored Book]Authored by: Laing, C.
Read Online:
Read Abstract:
80
Laing, CR., & Lord, GJ. (Eds.) (2009). Stochastic methods in neuroscience. Oxford, UK: Oxford University Press
[Edited Book]Edited by: Laing, C.
[Edited Book]Edited by: Laing, C.
Read Abstract:
Laing, CR., & Doiron, B. (2005). Ghostbursting: The role of active dendrites in electrosensory processing. In Bursting: The Genesis of Rhythm in the Nervous System. (pp. 145 - 172).
[Chapter]Authored by: Laing, C.
[Chapter]Authored by: Laing, C.
Read Abstract:
1
Longtin, A., Laing, CR., & Chacron, J. (2003). Correlations and memory in neurodynamical systems. In G. Rangarajan, & MD. Eds (Eds.) Processes with long-range correlations: Theory and applications. (pp. 286 - 308). New York, NY: Springer
[Chapter]Authored by: Laing, C.
[Chapter]Authored by: Laing, C.
Conference
Laing, C. (2023, December). Periodic solutions for a pair of delay-coupled excitable theta neurons. Presented at NZ Math Society Colloquium. Wellington, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2023, November). Periodic solutions for a pair of delay-coupled excitable theta neurons. Presented at 8th AUT Mathematical Modelling and Analytics Symposium. Auckland, New Zealand.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2022, December). The dynamics of large networks of theta neurons. Presented at Interdisciplinary between mathematics and neuroscience
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C., & Omel'chenko, O. (2022, December). Periodic solutions in theta neuron networks. Presented at NZMS colloquium. Christchurch.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2022, November). Periodic solutions in theta neuron networks. Presented at Dynamical Systems in NZ
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2022, May). Chimeras with uniformly distributed heterogeneity: Two coupled populations. Presented at Chimera States: From Theory and Experiments to Technology and Living Systems. Dresden, Germany.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Thiem, TN., Kemeth, FP., Bertalan, T., Laing, CR., & Kevrekidis, IG.Global and Local Reduced Models for Interacting, Heterogeneous Agents. AIChE Annual Meeting, Conference Proceedings.
[Conference]Authored by: Laing, C.
[Conference]Authored by: Laing, C.
Read Abstract:
Laing, C. (2021, December). Periodic solutions of a theta neuron subject to delayed self-feedback. Presented at AUSTMS SPECIAL SESSION ON DYNAMICAL SYSTEMS AND ERGODIC THEORY
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2021, December). Periodic solutions of a theta neuron subject to delayed self-feedback. Presented at 2021 Manawat¯u–Wellington Applied Mathematics Conference
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2021, September). Dynamics and stability of chimera states in two coupled
populations of oscillators. Presented at TOPICAL PROBLEMS OF NONLINEAR WAVE PHYSICS. Nizhny Novgorod, Russia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2021, August). E ects of degree distributions in random networks of type-I neurons. Presented at Dynamics Days Europe 2021. online.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2020, December). Dynamics of heterogeneous networks of Winfree oscillators. Presented at CCS2020: The Conference on Complex Systems 2020
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2020, December). Dynamics of heterogeneous networks of Winfree oscillators. Presented at Australian Mathematical Society Annual Meeting
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C., Means, S., & blasche, C. (2020, August). Degree assortativity in networks of spiking neurons. Presented at Dynamics Days Digital 2020. online.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C., Means, S., & blasche, C. (2020, February). Degree assortativity in networks of spiking neurons. Presented at ANZIAM. Hunter Valley, NSW, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Bläasche, C., Means, S., & Laing, CR.Degree assortativity in networks of spiking neurons.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Read Abstract:
6
Laing, C., & Blasche, C. (2019, November). Degree correlations in networks of neurons. Presented at Sydney Dynamics Group. Margaret River, Western Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2019, May). Chimera generalizations: planar oscillators, local coupling, and random networks. Presented at School and Workshop on Patterns of Synchrony: Chimera States and Beyond. International Centre for Theoretical Physics, Trieste, Italy.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2019, February). Reduced models for
networks of model
neurons. Presented at anziam 2019. Nelson, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2018, December). Reduced models for networks of model neurons. Presented at New Zealand Mathematical Society Colloquium
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2018, November). Chimeras in two-dimensional domains: heterogeneity and the continuum limit. Presented at Dynamics Days Asia-Pacific. Huaqiao University at Xiamen (Fujian Province, China).
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2018, July). Bumps in small-world networks. Presented at 2018 Annual Meeting of the Society for Mathematical Biology & the Japanese Society for Mathematical Biology. Sydney, australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2018, February). Chimeras on spheres. Presented at ANZIAM Conference. Hobart, Tasmania.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, October). PDE methods for two-dimensional neural fields.. Presented at annual meeting of the Japanese Society for Mathematical Biology. Sapporo, Japan.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, October). Neural Field Models Which Include Gap Junctions. Presented at Satellite workshop of JSMB in 2017: Patterns and dynamics with nonlocal effect. Jozankei, Japan.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, May). Bumps in small-world networks. Presented at International Conference on Mathematical Neuroscience. Boulder, Colorado.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, May). Bumps in Small-World Networks. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR., & kevrekidis, I. (2017, February). Equation-free analysis of spike timing dependent plasticity. Presented at 7th Workshop on High-Dimensional Approximation. Sydney, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, February). Chimeras in networks with purely local coupling. Presented at ANZIAM 2017. Hahndorf, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2016, December). Chimeras in networks with purely local coupling. Presented at NZMS Colloquium. Wellington.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2016, November). Neural field models which include gap junctions. Presented at NeuroEng 2016. Brisbane, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2016, February). Equation-free analysis of spike timing dependent plasticity. Presented at ANZIAM 2016. Canberra, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, July). A new neural field model which includes gap junction. Presented at Dynamics of Coupled Oscillators: 40 years of the Kuramoto Model. Dresden, Germany.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, July). Neural Field Models Which Include Gap Junctions. Presented at Equadiff 2015. Lyon, France.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, May). Neural Field Models Which Include Gap Junctions. Presented at SIAM CONFERENCE ON APPLICATIONS OF DYNAMICAL SYSTEMS. Snowbird, Utah.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, February). Exact derivation of a neural field model from a network of theta neurons. Presented at ANZIAM 2015. Surfers Paradise, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Kevrekidis, IG., Laing, C., Holiday, A., & Bertalan, T.Heterogeneity and reduction for complex network dynamics. Computing and Systems Technology Division 2014 - Core Programming Area at the 2014 AIChE Annual Meeting. (pp. 871 - 872).
[Conference]Authored by: Laing, C.
[Conference]Authored by: Laing, C.
Read Abstract:
Kevrekidis, IG., Laing, C., Holiday, A., & Bertalan, T.Heterogeneity and reduction for complex network dynamics. Computational Molecular Science and Engineering Forum 2014 - Core Programming Area at the 2014 AIChE Annual Meeting. (pp. 234 - 235).
[Conference]Authored by: Laing, C.
[Conference]Authored by: Laing, C.
Read Abstract:
Laing, CR. (2014, November). Fronts and bumps in spatially extended Kuramoto networks. Presented at AUT Mathematical Sciences Symposium. Auckland, New Zealand.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, September). "Chimeras and bumps" - minisymposium presentation. Presented at 34th Dynamics Days Europe. Bayreuth, Germany.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, September). Twisted states in phase oscillator arrays. Presented at Rhythms in complex networks: from theory to experiment. Niels Bohr Institute, Copenhagen, Denmark.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, July). Waves in spatially-disordered neural fields. Presented at International Workshop on Neurodynamics. Castro-Urdiales, Spain.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, February). Twisted
states in phase oscillator
arrays. Presented at ANZIAM. Rotorua, New Zealand.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, December). Twisted states in
phase oscillator arrays. Presented at NZ Math Society Colloquium
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, June). A Reduced Model for Binocular Rivalry. Presented at Progress of Mathematical Studies in Neuroscience. National Tsing-Hua University, Hsinchu, Taiwan.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, June). PDE Methods for Two-Dimensional Neural Fields. Presented at Progress of Mathematical Studies in Neuroscience. National Tsing-Hua University, Hsinchu, Taiwan.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, May). Waves in Random Neural Media. Presented at SIAM conference on applications of dynamical systems. Snowbird, Utah.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, February). Managing heterogeneity in the study of neural oscillator dynamics. Presented at ANZIAM 2013. Newcastle, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2012, December). PDE methods for two-dimensional neural fields. Presented at BrainModes 2012: Large-scale models of the brain. Queensland Institute of Medical Research, Brisbane.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR., Zou, Y., Smith, B., & Kevrekidis, IG.Managing heterogeneity in the study of neural oscillator dynamics.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Read Abstract:
1
Laing, CR. (2012, September). Chimeras in random non-complete networks of phase oscillators. Presented at Dynamics Days Europe. Gothenburg, Sweden.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2012, August). Bifurcations of Smooth and Lurching Waves in a One-dimensional Thalamic Neuronal Network. Presented at SIAM Conference on the Life Sciences. San Diego, California.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Read Abstract:
Laing, CR. (2012, January). Fronts in a Spatially-extended Network of Conformist and Contrarian
Oscillators. Presented at ANZIAM 2012. Warrnambool, Victoria, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, October). PDE methods for two-dimensional neural fields. Presented at Workshop on Spatio-temporal evolution equations and neural fields. CIRM, Marseille.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2011, May). A reduced model for binocular rivalry. Presented at Society for Industrial and Applied Mathematics Conference on Applications of Dynamical Systems. Utah, USA.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Read Abstract:
Laing, C. (2011, January). Pulsating fronts in periodically modulated neural field models. Presented at The 2011 Annual Australian and New Zealand Industrial and Applied Mathematics Conference. Adelaide, SA, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Al Manji, A., Chang, J., & Laing, C. (2010). Identification of surface electromyography signals with continuous wavelet entropy transform. The 8th France-Japan and 6th Europe-Asia Congress on Mechatronics. Vol. none (pp. 306 - 310).
[Conference Paper in Published Proceedings]Authored by: Laing, C.
[Conference Paper in Published Proceedings]Authored by: Laing, C.
Read Abstract:
Laing, C. (2010, December). Bifurcations of lurching waves in a thalamic neuronal network. Presented at New Zealand Mathematical Society Colloquium. University of Otago, New Zealand.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR.PDE methods for two-dimensional neural fields.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Read Abstract:
6
Laing, CR. (2010). A reduced model of a heterogeneous population of bursting neurons. Poster session presented at the meeting of Oxford Centre for Collaborative Applied Mathematics (OCCAM) Workshop: Future Challenges in Mathematical and Computational Neuroscience. St Anne's College, University of Oxford, Oxford, UK
[Conference Poster]Authored by: Laing, C.
[Conference Poster]Authored by: Laing, C.
Laing, CR. (2010). A reduced model of a heterogeneous population of bursting neurons. Poster session presented at the meeting of Society for Industrial and Applied Mathematics Conference on the Life Sciences. Pittsburgh, PA, United States
[Conference Poster]Authored by: Laing, C.
[Conference Poster]Authored by: Laing, C.
Laing, CR. (2010, July). Chimera states in heterogeneous Kuramoto networks. Presented at International Workshop of Nonlinear Dynamics on Networks. Kyiv, Ukraine.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2010, May). Bumps and chimeras. Presented at The 8th American Institute of Mathematical Sciences Conference on Dynamical Systems, Differential Equations and Applications. Dresden University of Technology, Dresden, Germany.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Read Abstract:
Laing, CR. (2010, January). Spiral wave chimeras. Presented at The Australian and New Zealand Industrial and Applied Mathematics Conference (ANZIAM 2010). Queenstown, New Zealand.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Read Abstract:
Laing, CR. (2009, June). Dimension reduction in neural models: An example - binocular rivalry. Presented at Mini Symposium on Mathematical Neuroscience. The University of Warwick, UK.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Read Abstract:
Laing, CR. (2009, September). Dimension reduction in neural models: An example- binocular rivalry. Presented at Conference on Dynamics in Systems Biology. Aberdeen, Scotland.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009, March). Dimension reduction in neural models an example - binocular rivalry. Presented at Noise in Life Meeting. Cambridge, UK.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009, March). Dimension reduction in neural models: an example - binocular rivalry. Presented at 2nd Annual Meeting of the UK Mathematical Neuroscience Network. Edinburgh, UK.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008, July). Finite networks of heterogeneous coupled oscillators: a low dimensional approach. Presented at MMBNOTT/MRM Summer Workshop in Mathematical Medicine and Biology. The University of Nottingham, UK.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008). A low-dimensional description of a heterogeneous network of coupled oscillators. Poster session presented at the meeting of Workshop on Multi-scale Modelling of the Respiratory System. Auckland, NZ
[Conference Poster]Authored by: Laing, C.
[Conference Poster]Authored by: Laing, C.
Laing, CR. (2008, February). A low-dimensional description of a heterogeneous network of coupled oscillators. Presented at Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) 2008 Annual Conference. Katoomba, NSW.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR., Frewen, TA., & Kevrekidis, IG. (2007). Coarse-graining: A neural example. In Proceedings of the Mathematical and Computational Nanoscience 2007: MacDiarmid Institute
[Conference Abstract]Authored by: Laing, C.
[Conference Abstract]Authored by: Laing, C.
Laing, CR., Frewen, TA., & Kevrekidis, IG. (2007, December). Coarse-graining: A neural example. Presented at Mathematical and Computational Nanoscience 2007. Victoria University of Wellington, Wellington, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2007). Bumps and rings in a two-dimensional neural field: Splitting and rotational instabilities. In 1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society(pp. 20 - 21). : Victoria University of Wellington
[Conference Abstract]Authored by: Laing, C.
[Conference Abstract]Authored by: Laing, C.
Laing, CR. (2007, December). Bumps and rings in a two-dimensional neural field: Splitting and rotational instabilities. Presented at 1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society. Victoria University of Wellington, Wellington, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Kevrekidis, Y., Bold, K., Moon, S., & Laing, CR. (2007, May). Uncertainty quantification methods in modeling heterogenous interacting populations. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, UT.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2007, May). Dimension reduction for complex neural models. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, UT.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2007, January). Coarse-grained dynamics of an activity bump in a neural field model. Presented at Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) 43rd Applied Mathematics Conference. Fremantle, WA.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2006, December). Periodically-forced finite networks of heterogeneous coupled oscillators. Presented at New Zealand Mathematics Colloquium. University of Waikato, Hamilton, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2006, October). Periodically-forced finite networks of heterogeneous coupled oscillators: A low-dimensional approach. Presented at 9th Manawatu-Wellington Applied Mathematics Conference. Massey University, Palmerston North, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2005, March). Spiral waves in neural field equations. Presented at Workshops on Mathematical Neuroscience. Edinburgh, UK.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2005, May). Some neural examples of 'equation-free' modelling. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, UT.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2005, December). Equation-free modelling-some neural examples. Presented at NZ Mathematics Colloquium. Massey University, Palmerston North, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Longtin, A., Laing, C., & Chacron, MJ.Correlations and memory in neurodynamical systems. PROCESSES WITH LONG-RANGE CORRELATIONS: THEORY AND APPLICATIONS. (pp. 286 - 308). 0075-8450.
[Conference]Authored by: Laing, C.
[Conference]Authored by: Laing, C.
8
Laing, CR. (2003, May). Meeting on Symmetry and Bifurcation in Biology. Presented at Meeting on Symmetry and Bifurcation in Biology. Banff International Research Station, Banff, AB.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2003, May). Dynamics of delayed, paired excitatory-inhibitory neural feedback. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, UT.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2003, July). Pattern formation in neuronal systems. Presented at 5th International Congress on Industrial and Applied Mathematics. Sydney, NSW.
[Conference Oral Presentation]Authored by: Laing, C.
[Conference Oral Presentation]Authored by: Laing, C.
Other
Laing, C. (2022, July). Coupled oscillator dynamics. In School of Mathematical and Computational Sciences. Presented at Massey University.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, C. (2020, October). Dynamics and stability of chimera states in two coupled populations of oscillators. In University of Auckland maths seminar.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, C. (2020). Special issue on novel computational approaches and their applications.
[Other]Authored by: Laing, C.Edited by: Laing, C.
[Other]Authored by: Laing, C.Edited by: Laing, C.
Laing, C. (2020, May). Dynamics and stability of chimera states in two coupled populations of oscillators. In Sydney Dynamics Group. Presented at online.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, C., Means, S., & blasche, C. (2020, February). Reduced models for networks of model neurons. Presented at Maths department, University of Canterbury.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, C. (2019, May). Reduced models for networks of model neurons. Presented at Potsdam University, Germany.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, C. (2019, March). A Reduced Model for Binocular Rivalry. In SNCS, Massey University.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, December). Chimeras on spheres and tori. In seminar in Maths Department. Presented at University of Nottingham, UK.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, November). Chimeras on spheres and tori. Presented at Massey University, Albany.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, August). Equation-free analysis of spike timing dependent plasticity. Presented at Max Planck Institute for the Physics of Complex Systems, Germany.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, February). Neural Field Models Which Include Gap Junctions. In School of Physics, University of Sydney.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2016, April). Equation-free analysis of spike timing dependent plasticity.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, November). "Fronts and bumps in spatially extended Kuramoto networks" Seminar at Technical University of Munich, Germany.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, July). Neural field models which include gap junctions. Seminar at University of Nottingham..
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, July). Neural field models which include gap junctions. Seminar at Exeter University..
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, August). Exact description of an infinite network of neurons (Seminar at Massey University).
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, July). Fronts and bumps in spatially extended Kuramoto networks (Seminar at Nottingham University).
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, July). Twisted states in phase oscillator arrays (Seminar at Leeds University).
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, February). Fronts and bumps in spatially extended Kuramoto networks (Seminar at Northwestern University).
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2012, August). Chimeras in random non-complete networks of phase oscillators.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, December). Chimera States in Heterogeneous Kuramoto Networks, University of Maryland.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, November). Fronts and bumps in spatially extended Kuramoto networks, WIAS, Berlin.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, October). Chimera states in heterogeneous Kuramoto networks, NJIT.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, November). Chimera States in Heterogeneous Kuramoto Networks, Drexel University.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, December). Chimera States in Heterogeneous Kuramoto Networks, Princeton University.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, C. (2011). Chimera states in heterogeneous Kuramoto networks. Presented at University of Auckland, Auckland, NZew Zealand.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, C. (2011). Freezing noisy brain waves. Presented at Massey University, Auckland, New Zealnd.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Almanji, A., Chang, J., & Laing, C. (2010, November). Identification of surface electromyography signals with continuous wavelet entropy transform. In Mechatronics Congress 2010. Presented at Keio University, Yokohama-city, Kanagawa, Japan.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2010). Chimera states in heterogeneous Kuramoto networks. Presented at University of Manchester, Manchester, UK.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Dimension reduction in neural models: An example - binocular rivalry. Presented at Manchester Institute for Mathematical Sciences (MIMS), Manchester, UK.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Chimera states in heterogeneous kuramoto networks. Presented at University of Leeds, Leeds, UK.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Dimension reduction in neural models: An example - binocular rivalry. Presented at University of Surrey, Surrey, UK.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Read Abstract:
Laing, CR. (2009). Dimension reduction in neural models: An example - binocular rivalry. Presented at Universitat Pompeu Fabra, Barcelona, Spain.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Taming chimeras: the dynamics of coupled phase oscillator networks. Presented at Massey University, Auckland.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Dimension reduction in neural models: an example binocular rivalry. Presented at The University of Warwick, UK.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Chimera states in heterogeneous networks. Presented at The University of Nottingham, UK.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Chimera states in heterogeneous networks. Presented at Heriot-Watt University, Edinburgh, UK.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008, December). A solvable model for chimera states in heterogeneous networks. In 7th Joint Australia-New Zealand Mathematics Convention.. Presented at Christchurch, New Zealand.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008). Dimension reduction in neural models. Presented at Heriot-Watt University, Yk.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008). Finite networks of heterogenous coupled oscillators: a low-dimensional approach. Presented at University of Leeds, UK.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008). Dimension reduction in complex models. Presented at Massey University, Auckland, NZ.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2007). Dimension reduction in complex models. Presented at University of Canterbury, Christchurch, NZ.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2006, November). Modelling bursting in an electric fish neuron. In Opening meeting of the Centre for Mathematical Biology. Presented at Massey University, Auckland, NZ.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2005, September). Science and the mathematics of electric fish. : Massey University.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Laing, CR.Chimeras on a ring of oscillator populations.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Read Abstract:
4
Laing, CR.Chaos in small networks of theta neurons.
[Oral Presentation]Authored by: Laing, C.
[Oral Presentation]Authored by: Laing, C.
Read Abstract:
2
Teaching and Supervision
Summary of Doctoral Supervision
| Position | Current | Completed |
|---|---|---|
| Main Supervisor | 0 | 2 |
| Co-supervisor | 0 | 3 |
Completed Doctoral Supervision
Main Supervisor of:
-
2020
-
Christian Bläsche
-
Doctor of Philosophy
Dynamical effects of degree correlations in networks of type I model neurons -
2008
-
Amanda Elvin
-
Doctor of Philosophy
Pattern formation in a neural field model
Co-supervisor of:
-
2017
-
Karen McCulloch
-
Doctor of Philosophy
An Analytical Approach to Modelling Epidemics on Networks -
2013
-
Samuel Dillon
-
Doctor of Philosophy
Resolving Decomposition By Blowing Up Points And Quasiconformal Harmonic Extensions -
2010
-
Maarten McKubre - Jordens
-
Doctor of Philosophy
Minimising weighted mean distortion