Cluster-splitting bifurcation in a system of coupled maps

被引：16

作者：

Popovych, O

Pikovsky, A

Maistrenko, Y

机构：

[1] Univ Potsdam, Dept Phys, D-14415 Potsdam, Germany

[2] Natl Acad Sci, Math Inst, UA-01601 Kiev, Ukraine

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2002年 / 168卷

关键词：

coupled maps; clustering; bifurcation; cluster splitting;

D O I：

10.1016/S0167-2789(02)00499-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider cluster-splitting bifurcations in a system of globally coupled maps as coupling parameter decreases. At these transitions the number of clusters, i.e., groups of elements with identical dynamics, increases. We demonstrate that different cascades of cluster-splitting can occur, depending on statistics of redistribution of the oscillators between new-born clusters. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

收藏

页码：106 / 125

页数：20

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