LOCAL EXPONENTIAL DIVERGENCE PLOT AND OPTIMAL EMBEDDING OF A CHAOTIC TIME-SERIES

被引:75
|
作者
GAO, JB
ZHENG, ZM
机构
[1] Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijing
关键词
D O I
10.1016/0375-9601(93)90913-K
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
we propose here a local exponential divergence plot which is capable of providing a new means of characterizing chaotic time series. The suggested plot defines a time dependent exponent LAMBDA and a ''plus'' exponent LAMBDA+ which serves as a criterion for estimating simultaneously the minimal acceptable embedding dimension, the proper delay time and the largest Lyapunov exponent.
引用
收藏
页码:153 / 158
页数:6
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