Analyses of transient chaotic time series

被引：36
|
作者：
Dhamala, M. [1 ]
Lai, Y.-C. [1 ]
Kostelich, E.J. [1 ]
机构：
[1] School of Physics, Georgia Institute of Technology, Atlanta, GA 30332, United States
来源：
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2001年 / 64卷 / 5 II期
关键词：
Algorithms - Differential equations - Lyapunov methods - Phase space methods - Time series analysis;
D O I：
10.1103/PhysRevE.64.056207
中图分类号：
学科分类号：
摘要：
The applicability of the Grassberger-Procaccia (GP) algorithm for estimating the correlation dimension of the chaotic saddle from an ensemble of transient chaotic time series is demonstrated. A numerical procedure is given with an example of the Hènon map to find the rates of separation of neighboring phase-space states constructed from each transient time series in an ensemble to extract Lyapunov exponents. It is also shown that unstable periodic orbits of low period can be detected reliably from an ensemble of transient chaotic time series by using the LK algorithm.
引用
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页码：1 / 056207
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