Phase dynamics of nearly stationary patterns in activator-inhibitor systems

被引：0

作者：

Hagberg, Aric ^{[1
]}

Meron, Ehud ^{[2
]}

Passot, Thierry ^{[3
,4
]}

机构：

[1] Center for Nonlinear Studies and T-7, Theoretical Division, Los Alamos National Laboratory, Los Alamos,NM,87545, United States

[2] Jacob Blaustein Institute for Desert Research, Physics Department, Ben-Gurion University, 84990, Israel

[3] Observatoire de la Côte d'Azur, Boîte Postale 4229, Nice Cedex 4,06304, France

[4] Department of Mathematics, University of Arizona, Tucson,AZ,85721, United States

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2000年 / 61卷 / 06期

关键词：

Condensed matter physics;

D O I：

暂无

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The slow dynamics of nearly stationary patterns in a FitzHugh-Nagumo model are studied using a phase dynamics approach. A Cross-Newell phase equation describing slow and weak modulations of periodic stationary solutions is derived. The derivation applies to the bistable, excitable, and Turing unstable regimes. In the bistable case stability thresholds are obtained for the Eckhaus and zigzag instabilities and for the transition to traveling waves. Neutral stability curves demonstrate the destabilization of stationary planar patterns at low wave numbers to zigzag and traveling modes. Numerical solutions of the model system support the theoretical findings. ©2000 The American Physical Society.

引用

页码：6471 / 6476

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