Spacetime chaos in coupled map lattices

被引：237

作者：

Bunimovich, L. A. ^{[1
]}

Sinai, Ya G. ^{[1
]}

机构：

[1] LD Landau Theoret Phys Inst, Moscow, Russia

来源：

NONLINEARITY | 1988年 / 1卷 / 04期

关键词：

D O I：

10.1088/0951-7715/1/4/001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Coupled map lattices have been introduced recently for studying systems with spatial complexity. We consider simple examples of such systems generated by expanding maps of the unit interval (or circle) with some kind of diffusion coupling. It is shown that such systems have a symbolic representation by two-dimensional lattice models of statistical mechanics. The main result states that the Z(2) dynamical system generated by space translations and dynamics has a unique invariant mixing Gibbs measure with absolutely continuous finite-dimensional projections. This measure is an analogy of the BRS measure constructed for finite-dimensional hyperbolic transformations.

引用

页码：491 / 516

页数：26