Front propagation and pattern formation in anisotropic bistable media Academic Article uri icon

abstract

  • Instituto Pluridisciplinar, Universidad Complutense Madrid, Paseo Juan XXIII 1, E-28040 Madrid, Spain~Received 13 September 1999!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 isderived and used to identify distinct spatiotemporal patterns induced by the diffusion anisotropy. In a wideparameter range anisotropy is found to have an ordering effect: initial patterns evolve into stationary orbreathing periodic stripes parallel to one of the principal axes. In a different parameter range, anisotropy isfound to induce spatiotemporal chaos confined to one space dimension, a state we term ‘‘stratified chaos.’’PACS number~s!: 05.45.2a, 82.20.MjI. INTRODUCTION

publication date

  • January 1, 2000