This software tool allows the user to view animations of the dynamics illustrated in the paper "Absolute stability of wavetrains can explain spatiotemporal dynamics in reaction-diffusion systems of lambda-omega type". Smith, Sherratt & Rademacher, submitted.
Alternatively, you can view movies of example dynamics predicted by the lambda-omega equations in one-dimensional space, with zero-Dirichlet boundary conditions on the left hand edge and zero-flux boundary conditions on the right. The examples are downloadable as .wmv files:
- Matthew J. Smith, Jens D. M. Rademacher, and Jonathan A. Sherratt, Absolute stability of wavetrains can explain spatiotemporal dynamics in reaction-diffusion systems of lambda-omega type, in SIAM Journal of Applied Dynamical Systems, 8(3), 1136-1159, 27 August 2009.
- Jonathan A. Sherratt, Matthew J. Smith, and Jens D.M. Rademacher, Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion, in Proceedings of that National Academy of Sciences of the United States of America, 106(27), pp. 10890-10895, 7 July 2009.