Symbolic dynamics analysis of chaotic time series with a driven frequency

Zuo-bing Wu
Phys. Rev. E 53, 1446 – Published 1 February 1996
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Abstract

A simple method to determine a partition line from chaotic time series with a driven frequency is devised, so that the embedded strange attractor can be divided effectively by the partition line. After the determination of grammatical rules, symbolic dynamics is established from the chaotic time series. The symbolic dynamics provides a global systematics of unstable periodic orbits within the strange attractor. With the global property, the symbolic dynamics is applied to find unstable periodic orbits and predict the chaotic time series with finite accuracy and symbolic sequences with high accuracy. © 1996 The American Physical Society.

  • Received 18 April 1995

DOI:https://doi.org/10.1103/PhysRevE.53.1446

©1996 American Physical Society

Authors & Affiliations

Zuo-bing Wu

  • Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080, China

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Issue

Vol. 53, Iss. 2 — February 1996

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