Journal
PHYSICAL REVIEW E
Volume 62, Issue 1, Pages 366-374Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.62.366
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The effects of diffusion anisotropy on pattern formation in bistable media are studied using a FitzHugh-Nagumo reaction-diffusion model. A relation between the normal velocity of a front and its curvature is derived and used to identify distinct spatiotemporal patterns induced by the diffusion anisotropy. In a wide parameter range anisotropy is found to have an ordering effect: initial patterns evolve into stationary or breathing periodic stripes parallel to one of the principal axes. In a different parameter range, anisotropy is found to induce spatiotemporal chaos confined to one space dimension, a state we term stratified chaos.
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