ATTRACTOR RECONSTRUCTION FROM FILTERED CHAOTIC TIME-SERIES

被引：30

作者：

CHENNAOUI, A

PAWELZIK, K

LIEBERT, W

SCHUSTER, HG

PFISTER, G

机构：

[1] UNIV KIEL, INST THEORET PHYS, W-2300 KIEL 1, GERMANY

[2] UNIV KIEL, INST ANGEW PHYS, W-2300 KIEL 1, GERMANY

[3] UNIV KIEL STERNWARTE, W-2300 KIEL, GERMANY

来源：

PHYSICAL REVIEW A | 1990年 / 41卷 / 08期

关键词：

D O I：

10.1103/PhysRevA.41.4151

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present a method that allows one to decide whether an apparently chaotic time series has been filtered or not. For the case of a filtered time series we show that the parameters of the unknown filter can be extracted from the time series, and thereby we are able to reconstruct the original time series. It is demonstrated that our method works and provides reliable values of the fractal dimensions for systems that are described by maps or differential equations and for real experimental data. © 1990 The American Physical Society.

引用

页码：4151 / 4159

页数：9

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