GLOBAL SYNCHRONIZATION IN TRANSLATION INVARIANT COUPLED MAP LATTICES

被引：6
|
作者：
Fernandez, Bastien [1 ,2 ,3 ,4 ]
机构：
[1] CNRS, Ctr Phys Theor, F-13288 Marseille 09, France
[2] Univ Aix Marseille 1, F-13288 Marseille 09, France
[3] Univ Aix Marseille 2, F-13288 Marseille 09, France
[4] Univ Toulon Var, F-13288 Marseille 09, France
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 11期
关键词：
Global synchronization; coupled map lattices; translation invariant coupling;
D O I：
10.1142/S0218127408022494
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A sufficient condition for global synchronization in coupled map lattices (CML) with translation invariant coupling and arbitrary individual map is proved. As in [Jost & Joy, 2001] where CML with reflection invariant couplings are considered, the condition only involves the linearized dynamics in the diagonal, namely for all points in the diagonal, the derivative must be contractive in all transverse directions. In addition to this result, a (weaker) condition that ensures the CML attractor to be composed of either 2-periodic or constant configurations, is also obtained.
引用
收藏
页码：3455 / 3459
页数：5
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