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Cite Details

Markus Bär, Aric Hagberg, Ehud Meron and Uwe Thiele, "Front propagation and pattern formation in anisotropic media", Phys. Rev. E, vol. 62, no. 1, pp. 366--374, 2000

Abstract

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 spatio-temporal 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 spatio-temporal chaos confined to one space dimension, a state we term ``stratified chaos.''

BibTeX Entry

@article{bar-2000-front,
author = {Markus B\"{a}r and Aric Hagberg and Ehud Meron and Uwe Thiele},
title = {Front propagation and pattern formation in anisotropic media},
year = {2000},
urlpdf = {http://math.lanl.gov/~hagberg/Papers/anisotropic/anisotropic.pdf},
journal = {Phys. Rev. E},
volume = {62},
number = {1},
pages = {366--374}
}