Phase dynamics of nearly stationary patterns in activator-inhibitor systems

被引：8

作者：

Hagberg, A ^{[1
]}

Meron, E

Passot, T

机构：

[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[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] Observ Cote Azur, F-06034 Nice 4, France

[5] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

PHYSICAL REVIEW E | 2000年 / 61卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.61.6471

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 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.

引用

页码：6471 / 6476

页数：6

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