Lambda-Omega Equations Simulator

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:

## External Collaborators

- Prof. Jonathan Sherratt (Heriot-Watt University)
- Dr. Jens Rademacher (CWI Amsterdam)

Publications

- 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.

Downloads