COLLECTIVE BEHAVIOR IN ENSEMBLES OF GLOBALLY COUPLED MAPS

被引：38

作者：

PIKOVSKY, AS

KURTHS, J

机构：

[1] Max-Planck-Arbeitsgruppe Nichtlineare Dynamik, Universität Potsdam, Potsdam

来源：

PHYSICA D | 1994年 / 76卷 / 04期

关键词：

D O I：

10.1016/0167-2789(94)90048-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Coherent collective behavior in an ensemble of globally coupled maps is investigated in the limit of infinite number of elements. A nonlinear Frobenius-Perron equation is derived for this system, and it is shown that it can have quasiperiodic and chaotic solutions. For the description of finite ensembles we propose a noisy nonlinear Frobenius-Perron equation and show that it gives the correct power spectrum of mean field fluctuations.

引用

收藏

页码：411 / 419

页数：9

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