Numerical study of travelling waves in a reaction-diffusion system: Response to a spatiotemporal forcing. (English) Zbl 0876.65063
Summary: We investigate numerically the effect of a spatiotemporal forcing on travelling waves produced in a model reaction-diffusion system operating under periodic boundary conditions. It is shown that, for suitable parameter values, this external forcing can stabilize the progressive wave regime and impose its directionality through wave inversion. When the field fails to reverse waves travelling in an opposite direction, chaotic-like spatiotemporal patterns may be observed.
MSC:
65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
35K57 | Reaction-diffusion equations |