KOLMOGOROV ENTROPY OF A DYNAMICAL SYSTEM WITH AN INCREASING NUMBER OF DEGREES OF FREEDOM

被引:102
作者
BENETTIN, G [1 ]
FROESCHLE, C [1 ]
SCHEIDECKER, JP [1 ]
机构
[1] OBSERV NICE,F-06007 NICE,FRANCE
来源
PHYSICAL REVIEW A | 1979年 / 19卷 / 06期
关键词
D O I
10.1103/PhysRevA.19.2454
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Lyapunov characteristic numbers are used to estimate numerically the Kolmogorov entropy of an isolated one-dimensional self-gravitating system consisting of N plane parallel sheets with uniform density. It appears that the Kolmogorov entropy increases linearly when the number of degrees of freedom is greater than or equal to 2. © 1979 The American Physical Society.
引用
收藏
页码:2454 / 2460
页数:7
相关论文
共 19 条
[1]  
ARNOLD JI, 1967, PROBLEMES ERGODIQUES
[2]  
ARNOLD JI, 1968, ERGODIC PROBLEMS CLA
[3]   NUMERICAL EXPERIMENTS ON FREE MOTION OF A POINT MASS MOVING IN A PLANE CONVEX REGION - STOCHASTIC TRANSITION AND ENTROPY [J].
BENETTIN, G ;
STRELCYN, JM .
PHYSICAL REVIEW A, 1978, 17 (02) :773-785
[4]   RELIABILITY OF NUMERICAL STUDIES OF STOCHASTICITY .1. EXISTENCE OF TIME AVERAGES [J].
BENETTIN, G ;
CASARTELLI, M ;
GALGANI, L ;
GIORGILLI, A ;
STRELCYN, JM .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1978, 44 (01) :183-195
[5]  
BENETTIN G, 1978, CR ACAD SCI A MATH, V286, P431
[6]  
BENETTIN G, UNPUBLISHED
[7]   NEW PHENOMENON IN STOCHASTIC TRANSITION OF COUPLED OSCILLATORS [J].
CAROTTA, MC ;
FERRARIO, C ;
LOVECCHIO, G ;
GALGANI, L .
PHYSICAL REVIEW A, 1978, 17 (02) :786-794
[8]   NUMERICAL COMPUTATIONS ON A STOCHASTIC PARAMETER RELATED TO KOLMOGOROV ENTROPY [J].
CASARTELLI, M ;
DIANA, E ;
GALGANI, L ;
SCOTTI, A .
PHYSICAL REVIEW A, 1976, 13 (05) :1921-1925
[9]   NUMBER OF ISOLATING INTEGRALS IN HAMILTONIAN SYSTEMS [J].
CONTOPOULOS, G ;
GALGANI, L ;
GIORGILLI, A .
PHYSICAL REVIEW A, 1978, 18 (03) :1183-1189
[10]  
FORD J, 1973, ADV CHEM PHYS, V24, P155