Alternative scenarios of spiral breakup in a reaction-diffusion model with excitable and oscillatory dynamics

被引：78

作者：

Bär, M ^{[1
]}

Or-Guil, M ^{[1
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.82.1160

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Instabilities (breakup) of spiral waves in two dimensions and their one-dimensional analogs-wave trains triggered by a specific boundary condition-leading to spatiotemporally chaotic dynamics are investigated in a simple activator-inhibitor model. These instabilities: always require an absolute instability of the emitted wave trains and coincide with the Eckhaus instability for the excitable case, while for oscillatory conditions the well-known convective variant of the Eckhaus instability is found. The different cases correspond to different spiral breakup phenomenologies [S0031-9007(99)08410-0].

引用

页码：1160 / 1163

页数：4

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