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I study mathematical models of dynamical systems. Mainly I deal with low-dimensional ODEs and maps and analyse critical parameter values (bifurcations) where the dynamical behaviour changes in a fundamental way.
My research focuses on models that involve a switch or discontinuity. Such models have novel bifurcations and readily exhibit chaotic dynamics. Refer to my publication list or Google Scholar profile.
I hope to soon publish a book on piecewise-smooth bifurcations, so watch this space!
Former PhD students:
- Indranil Ghosh (2021–2024)
- Sishu Muni (2018–2021)
Slides on piecewise-linear maps from a keynote talk at the 28th International Conference on Difference Equations and Applications, Phitsanulok, Thailand, July 2023.
Lecture notes on piecewise-smooth ODEs from the Dynamics of Complex Systems Summer School at the International Centre for Theoretical Sciences, Bengaluru, India, June 2018.
Other things of mine on the web
Contact
- email: d.j.w.simpson@massey.ac.nz
- phone: 06 951 7618 (or 84618 within Massey)
- office: ScB3.07
- postal: School of Mathematical and Computational Sciences, Massey University, Palmerston North 4410, New Zealand
Last modified: Dec 3, 2025