Front propagation and pattern formation in anisotropic bistable media

Markus Bär, Aric Hagberg, Ehud Meron, Uwe Thiele

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

The diffusion anisotropy effects on pattern formation in bistable media are experimentally 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, which shows that 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 termed `stratified chaos'.

Original languageEnglish
Pages (from-to)366-374
Number of pages9
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number1 A
DOIs
StatePublished - 1 Jul 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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