Stability of synchronized chaos in coupled dynamical systems

被引：127

作者：

Rangarajan, G ^{[1
]}

Ding, MZ

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

[2] Indian Inst Sci, Ctr Theoret Studies, Bangalore 560012, Karnataka, India

[3] Florida Atlantic Univ, Ctr Complex Syst & Brain Sci, Boca Raton, FL 33431 USA

来源：

PHYSICS LETTERS A | 2002年 / 296卷 / 4-5期

关键词：

D O I：

10.1016/S0375-9601(02)00051-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the stability of synchronized chaos in coupled map lattices and in coupled ordinary differential equations. Applying the theory of Hermitian and positive semidefinite matrices we prove two results that give simple bounds on coupling strengths which ensure the stability of synchronized chaos. Previous results in this area involving particular coupling schemes (e.g., global coupling and nearest neighbor diffusive coupling) are included as special cases of the present work. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：204 / 209

页数：6

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