REMARK ON METRIC ANALYSIS OF RECONSTRUCTED DYNAMICS FROM CHAOTIC TIME-SERIES

被引：15
|
作者：
WU, ZB
机构：
[1] Institute of Theoretical Physics, Academia Sinica, Beijing, 100080
来源：
PHYSICA D | 1995年 / 85卷 / 04期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/0167-2789(95)00180-C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that, for finite chaotic time series, the embedding with the delay time which corresponds to a reconstructed phase diagram similar to the original one does not necessarily lead to a good convergence of the correlation dimension. Delay time influences the measures of reconstructed dynamics besides the geometries of reconstructed phase diagrams. Moreover, the plateau onset of correlation dimension and the maximal Lyapunov exponent can be produced by the low-dimensional embedding of the dynamics.
引用
收藏
页码：485 / 495
页数：11
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