RELIABILITY OF NUMERICAL STUDIES OF STOCHASTICITY .2. IDENTIFICATION OF TIME AVERAGES

被引:24
作者
BENETTIN, G
CASARTELLI, M
GALGANI, L
GIORGILLI, A
STRELCYN, JM
机构
[1] CNR,UNITA GNSM,I-35100 PADUA,ITALY
[2] CNR,GNSM,UNITA RISONANZE MAGNETICHE,PARMA,ITALY
[3] UNIV PARMA,IST FIS,I-43100 PARMA,ITALY
[4] UNIV MILAN,IST FIS,I-20133 MILAN,ITALY
[5] UNIV MILAN,IST MATEMAT,I-20133 MILAN,ITALY
[6] UNIV PARIS NORD,CTR SCI & POLYTECH,DEPT MATH,F-9300 VILLETANAUSE,FRANCE
来源
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1979年 / 50卷 / 02期
关键词
D O I
10.1007/BF02748874
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the numerical study of classical dynamical systems presenting stochastic behaviour one frequently makes use, in an explicit or an implicit way, of the Birkhoff ergodic theorem. The correct interpretation of the obtained results presents some delicate problems related to the coexistence of many mutually singular invariant measures. In this paper we study this question in an experimental way on some simple model examples. © 1979 Società Italiana di Fisica.
引用
收藏
页码:211 / 232
页数:22
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