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

Ernesto M. Nicola·Michal Or-Guil·Wilfried Wolf·Markus Baer
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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.

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Ernesto M. Nicola, Michal Or-Guil, Wilfried Wolf, Markus Baer. 2000-05-19. Drifting Pattern Domains in a Reaction-Diffusion System with Nonlocal Coupling. https://doi.org/10.1103/physreve.65.055101

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