Reaction-Diffusion Simulation

This is a time dependent computer generated solution of the doubly-diffusive FitzHugh-Nagumo reaction-diffusion equations in two space dimensions. For the parameters chosen this system has two uniform states (red and purple) and front and pulse solutions connecting them in space. The initial condition of a bent stripe in the red state is unstable to transverse pertubations and small disturbances grow. The solution meanders with splitting of the propagating tips until it fills the entire domain with a labyrinthine pattern.

Contributed by Aric Hagberg at the Center for Nonlinear Studies at Los Alamos National Laboratory.

More details of the model and numerical solution may be found at and in the paper "From labyrinthine patterns to spiral turbulence" PRL 72 2494 (1994).