Conditional mean field for chaotic coupled map lattices

被引:10
作者
Lemaitre, A [1 ]
Chate, H [1 ]
Manneville, P [1 ]
机构
[1] CEA,SERV PHYS ETAT CONDENSE,CTR ETUD SACLAY,F-91191 GIF SUR YVETTE,FRANCE
来源
EUROPHYSICS LETTERS | 1997年 / 39卷 / 04期
关键词
D O I
10.1209/epl/i1997-00365-x
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A conditional mean-field approach to strongly chaotic coupled map lattices is presented. Tt focusses on the time evolution of the one-body probability distribution function p(X) of instantaneous site values. The local environment of a site is modelled in terms of an effective number of independent neighbours, while keeping the Perron-Frobenius operator to account for the action of the local map. This approximation is shown to produce distributions p(X) in agreement with empirical observations of non-trivial collective behaviour, and captures the essence of their dynamics.
引用
收藏
页码:377 / 382
页数:6
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