On the definition of SRB-measures for coupled map lattices

被引：22

作者：

Järvenpää, E ^{[1
]}

Järvenpää, M ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math, Jyvaskyla 40351, Finland

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2001年 / 220卷 / 01期

关键词：

D O I：

10.1007/s002200100432

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider SRB-measures of coupled map lattices. The emphasis is given to a definition according to which a SRB-measure is an invariant probability measure whose projections onto finite-dimensional subsystems are absolutely continuous with respect to the Lebesgue measure. We show that coupled map lattices which are close to an uncoupled expanding map have typically an infinite number of SRB-measures. In particular, we give a counterexample to the Bricmont-Kupiainen conjecture.

引用

页码：1 / 12

页数：12

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