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Research Thesis Topic

Nonlinear Dynamics in Bio-Chemical and Similar Active Systems


Topic ID
73

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

Description

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


Application Open Date
29/02/2016

Application Close Date
31/12/2020

USQ Scholarship Applications

Pre-approved for Ethics
No

Admission Requirements

Please review the admission requirements for the academic program associated with this Thesis Topic




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