LYAPUNOV EXPONENTS AS MEASURE AVERAGES

被引:2
作者
ERSHOV, SV
机构
[1] Keldysh Institute for Applied Mathematics, Moscow
关键词
D O I
10.1016/0375-9601(93)90321-P
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A statistical definition of the Lyapunov exponents (LEs) is proposed which preserves their ''classical'' properties and enables one to investigate the stability of the LEs for perturbations of the dynamical system.
引用
收藏
页码:89 / 95
页数:7
相关论文
共 14 条
[1]   LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS - THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA [J].
ABARBANEL, HDI ;
BROWN, R ;
KENNEL, MB .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1991, 5 (09) :1347-1375
[2]  
ANISHCHENKO VS, 1988, ZH TEKH FIZ+, V58, P641
[3]  
Collet P., 1980, ITERATED MAPS INTERV
[4]  
DAIDO H, 1988, PHYS LETT A, V121, P60
[5]   ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].
ECKMANN, JP ;
RUELLE, D .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656
[6]  
ERSHOV SV, 1990, IAM166 PREPR
[7]   COMPARISON OF DIFFERENT METHODS FOR COMPUTING LYAPUNOV EXPONENTS [J].
GEIST, K ;
PARLITZ, U ;
LAUTERBORN, W .
PROGRESS OF THEORETICAL PHYSICS, 1990, 83 (05) :875-893
[8]  
HAKEN H, 1981, J STAT PHYS, V26, P149
[9]  
Kifer J I, 1974, MATH USSR IZV, V8, P1083
[10]   ASYMPTOTIC PERIODICITY OF THE ITERATES OF MARKOV OPERATORS [J].
LASOTA, A ;
LI, TY ;
YORKE, JA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 286 (02) :751-764