Front propagation and pattern formation in anisotropic bistable media

被引：21
|
作者：
Bär, M
Hagberg, A
Meron, E
Thiele, U
机构：
[1] Max Planck Phys Komplexer Syst, D-01187 Dresden, Germany
[2] Ben Gurion Univ Negev, Jacob Blaustein Inst Desert Res, IL-84990 Sede Boqer, Israel
[3] Ben Gurion Univ Negev, Dept Phys, IL-84990 Sede Boqer, Israel
[4] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[5] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[6] Univ Complutense Madrid, Inst Pluridisciplinar, E-28040 Madrid, Spain
来源：
PHYSICAL REVIEW E | 2000年 / 62卷 / 01期
关键词：
D O I：
10.1103/PhysRevE.62.366
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
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."
引用
收藏
页码：366 / 374
页数：9
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