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.

• Professor Thanh Tran-Cong

• Computational Engineering and Science Research Centre

• Applied Mathematics
• Numerical and Computational Mathematics

• Doctor of Philosophy (DPHD)
• Master of Research (MRES)