Entropy of coupled map lattices

被引:0
作者
D. Dolgopyat
机构
[1] Princeton University,Department of Mathematics
来源
Journal of Statistical Physics | 1997年 / 86卷
关键词
Coupled map lattice; Pesin formula; Ruelle inequality; SBR measure;
D O I
暂无
中图分类号
学科分类号
摘要
The entropy of coupled map lattices with respect to the group of space-time translations is considered. We use the notion of generalized Lyapunov spectra to prove the analogue of the Ruelle inequality and the Pesin formula.
引用
收藏
页码:377 / 389
页数:12
相关论文
共 10 条
[1]  
Bunimovich L. A.(1988)Space-time chaos in coupled map lattices Nonlinearity 1 491-516
[2]  
Sinai Ya. G.(1977)Lyapunov characteristic exponents and smooth ergodic theory Russ. Math. Surv. 32 55-114
[3]  
Pesin Ya. B.(1991)Space-time chaos in chains of weakly interacting hyperbolic mappings Adv. Sov. Math. 3 165-198
[4]  
Pesin Ya. B.(1979)A proof of Oseledeč's multiplicative ergodic theorem Israel J. Math. 32 356-362
[5]  
Sinai Ya. G.(1978)An inequality for the entropy of differentiable maps Bol. Soc. Bras. Math. 9 83-87
[6]  
Raghunatan M. S.(1979)Ergodic theory of differentiable dynamical systems Publ. IHES 50 27-58
[7]  
Ruelle D.(1982)Characteristic exponents and invariant manifolds in Hilbert space Ann. Math. 115 243-290
[8]  
Ruelle D.(1968)Markov partitions and Funct. Anal. Appl. 2 61-82
[9]  
Ruelle D.(undefined)-diffeomorphisms undefined undefined undefined-undefined
[10]  
Sinai Ya. G.(undefined)undefined undefined undefined undefined-undefined