Bifurcations in globally coupled chaotic maps

被引：20
|
作者：
Morita, S
机构：
[1] Department of Physics, Graduate School of Sciences, Kyoto University
来源：
PHYSICS LETTERS A | 1996年 / 211卷 / 05期
关键词：
globally coupled maps; chaos; Frobenius-Perron equation; bifurcation; collective behavior;
D O I：
10.1016/0375-9601(96)00012-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a new method to investigate collective behavior in a network of globally coupled chaotic elements generated by a tent map. In the limit of large system size, the dynamics is described by the nonlinear Frobenius-Perron equation. This equation can be transformed into a simple form by making use of the piecewise linear nature of the individual map. Our method is applied successfully to the stability analysis of collective stationary states and their bifurcations.
引用
收藏
页码：258 / 264
页数：7
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