Dr David Simpson staff profile picture

Contact details +64 (06) 356 9099  ext. 84618

Dr David Simpson

Senior Lecturer in Mathematics

School of Fundamental Sciences

Professional

Contact details

  • Ph: 06 951 7618
    Location: ScB3.07, Science Tower B
    Campus: Manawatu

Prizes and Awards

  • Massey University International Visitors Research Fund. I was awarded $2976 to host Paul Glendinning from the University of Manchester. Paul Glendinning is a world-renowned expect in dynamical systems. He is currently the scientific director of the International Centre for Mathematical Sciences based in Edinburgh, was the head of the School of Mathematics at The University of Manchester in the 2000's, and has written books on dynamical systems and popular science. He visited me at Massey University from May 4 -- May 19, 2017 for collaborative research on robust chaos. - Massey University (2017)

Research Expertise

Research Interests

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.

Thematics

21st Century Citizenship

Area of Expertise

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)

Research Projects

Summary of Research Projects

Position Current Completed
Project Leader 1 1

Current Projects

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

Project Team:

Research Outputs

Teaching and Supervision

Courses Coordinated

Summary of Doctoral Supervision

Position Current Completed
Supervisor 1 0
Co-supervisor 2 1

Current Doctoral Supervision

Supervisor of:

Co-supervisor of:

  • Hammed Fatoyinbo - Doctor of Philosophy
    Pattern formation in reaction-diffusion systems with spatially varying parameters
  • Christian Offen - Doctor of Philosophy
    Analysis of Hamiltonian boundary value problems and symplectic integration

Completed Doctoral Supervision

Co-supervisor of:

  • 2017 - Howida Al Fran - Doctor of Philosophy
    The edge slide graph of the n-dimensional cube

Media and Links

Other Links

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