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Research Thesis Topic

Nonlinear Dynamics in Bio-Chemical and Similar Active Systems

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Thesis Topic/Title:
Nonlinear Dynamics in Bio-Chemical and Similar Active Systems


A class of bio-chemical systems can be simulated by a system of coupled oscillators. Phase of oscillations satisfies an evolution partial differential equation which takes different forms depending on the values of parameters. In the simplest case the equation is effectively a diffusion equation which is excitation-free. However, more complex forms are possible such as the Nikolaevskii equation and the Kuramoto-Sivashinsky equation incorporating linear excitation. We analyse a situation when the phase equation is based on nonlinear excitation. The nonlinear dynamics is explored numerically.

Principal Supervisor

Associate Supervisors

Research Affiliations
  • Computational Engineering and Science Research Centre

Field of Research
  • Applied Mathematics
  • Numerical and Computational Mathematics

Available Academic Programs
  • Doctor of Philosophy (DPHD)
  • Master of Research (MRES)

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