Animations


Rich dynamics of the Oregonator model in animations

Reduced from the Field–Kőrös–Noyes mechanism for the Belousov–Zhabotinsky reaction, the Oregonator is based on five elementary stoichiometries and written (in scaled form) as:

  

The model exhibits many of the dynamic features found in the reaction.

Oscillations
Subcritical Hopf bifurcation
Excitability
Identical oscillators – in-phase oscillations
Identical oscillators – anti-phase oscillations
Nearly identical uncoupled oscillators
Nearly identical coupled oscillators – anti-phase oscillations
Nearly identical coupled oscillators – in-phase oscillations
Nearly identical coupled oscillators – oscillator death
1D reaction-diffusion system in the oscillatory domain
Excitability in 1D reaction-diffusion system
Turing patterns in 1D reaction-diffusion system – inhomogeneous perturbation
Homogeneous perturbation of 1D reaction-diffusion system in the Turing domain

Oscillations


Subcritical Hopf bifurcation


Excitability


Identical oscillators – in-phase oscillations


Identical oscillators – anti-phase oscillations


Nearly identical uncoupled oscillators


Nearly identical coupled oscillators – anti-phase oscillations


Nearly identical coupled oscillators – in-phase oscillations


Nearly identical coupled oscillators – oscillator death


1D reaction-diffusion system in the oscillatory domain


Excitability in 1D reaction-diffusion system


Turing pattern in 1D reaction-diffusion system – inhomogeneous perturbation


Homogeneous perturbation of 1D reaction-diffusion system in the Turing domain


Please note that the parameters for the latter two animations are the same. Dispersion curves for both are below.