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My research is in the broad area of dynamical systems. I have worked on a wide range of applications including mechanical systems with impacts or friction, relay control, human balancing tasks, excitable dynamics in neurons, the Belousov-Zhabotinsky chemical reaction, yeast growth, and calcium propagation in cells.
I am most interested in mathematical models for which the equations are nonsmooth (corresponding to some sort of switch, decision or impact). The behaviour of nonsmooth systems is often complicated and poorly understood because nonsmooth systems are highly nonlinear, and consequently can exhibit intricate and chaotic dynamics.
21st Century Citizenship
Field of research codes
Applied Mathematics (010200): Biological Mathematics (010202): Dynamical Systems in Applications (010204): Mathematical Sciences (010000): Ordinary Differential Equations, Difference Equations and Dynamical Systems (010109): Pure Mathematics (010100): Statistics (010400): Stochastic Analysis and Modelling (010406)
Project Title: Organised chaos: Using geometry to explain robust chaotic dynamics in switched dynamical systems
Date Range: 2019 - 2022
Funding Body: Royal Society of New Zealand
Main Supervisor of: