Entropy of coupled map lattices

被引：3
作者：
Dolgopyat, D
机构：
[1] Department of Mathematics, Princeton University, Princeton
来源：
JOURNAL OF STATISTICAL PHYSICS | 1997年 / 86卷 / 1-2期
关键词：
coupled map lattice; Pesin formula; ruelle inequality; SBR measure;
D O I：
10.1007/BF02180211
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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：13
相关论文
共 12 条
[1]   Spacetime chaos in coupled map lattices [J].
Bunimovich, L. A. ;
Sinai, Ya G. .
NONLINEARITY, 1988, 1 (04) :491-516
[2]  
Krengel U., 1985, ERGODIC THEOREMS
[3]  
MANE R, GEOMETRIC DYNAMICS, P522
[4]  
Pesin Ja.B., 1977, Russ. Math. Surv., V32, P55, DOI 10.1070/RM1977v032n04ABEH001639
[5]  
PESIN YB, 1991, ADV SOVIET MATH, V3, P165
[6]   PROOF OF OSELEDECS MULTIPLICATIVE ERGODIC THEOREM [J].
RAGHUNATHAN, MS .
ISRAEL JOURNAL OF MATHEMATICS, 1979, 32 (04) :356-362
[7]   CHARACTERISTIC EXPONENTS AND INVARIANT-MANIFOLDS IN HILBERT-SPACE [J].
RUELLE, D .
ANNALS OF MATHEMATICS, 1982, 115 (02) :243-290
[8]  
RUELLE D., 1979, Inst. Hautes Etudes Sci. Publ. Math., V50, P27, DOI [10.1007/BF02684768, DOI 10.1007/BF02684768]
[9]  
Ruelle David, 1978, Bol. Soc. Bras. Mat, V9, P83, DOI DOI 10.1007/BF02584795
[10]  
SINAI JG, 1968, FUNCTIONAL ANAL APPL, V2, P61
12