Drifting Pattern Domains in a Reaction-Diffusion System with Nonlocal Coupling
Pattern Formation and Solitons
2007-05-23 v1
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.
Cite
@article{arxiv.nlin/0005043,
title = {Drifting Pattern Domains in a Reaction-Diffusion System with Nonlocal Coupling},
author = {Ernesto M. Nicola and Michal Or-Guil and Wilfried Wolf and Markus Baer},
journal= {arXiv preprint arXiv:nlin/0005043},
year = {2007}
}
Comments
4 pages, 4 figures