Drifting Pattern Domains in a Reaction-Diffusion System with Nonlocal Coupling

Abstract

Drifting pattern domains (DPDs), moving localized patches of traveling waves embedded in a stationary (Turing) pattern background and vice versa, are observed in simulations of a reaction-diffusion model with nonlocal coupling. Within this model, a region of bistability between Turing patterns and traveling waves arises from a codimension-2 Turing-wave bifurcation (TWB). DPDs are found within that region in a substantial distance from the TWB. We investigated the dynamics of single interfaces between Turing and wave patterns. It is found that DPDs exist due to a locking of the interface velocities, which is imposed by the absence of space-time defects near these interfaces.

4 pages, 4 figures

References in corpus (1)

• Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems

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