ANALYSIS OF TIME SERIES RECONSTRUCTION FOR FORCED BRUSSELATOR SYSTEM

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1996, Vol. 13 ›› Issue (3): 315-322.

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ANALYSIS OF TIME SERIES RECONSTRUCTION FOR FORCED BRUSSELATOR SYSTEM

Zhi an Yang^1,3, Shi gang Chen^1,2

1. Graduate School, China Academy of Engineering Physics, P. O. Box 8009, Beijing 100088, R. R. China;
2. Center for Nonlinear Studies Institute of Applied Physics and Computation Mathematics, P. O. Box 8009, Beijing 100088, P. R. China

Received:1995-04-14 Online:1996-09-25 Published:1996-09-25

Abstract

Abstract: The topological properties of the delay-time reconstruction transformation of the forced Brusselator system are analysed by means of the Jacobian of the transformation. Topological properties depending on the delay time and on the conditional stability of a time series itself are discussed. The conditional Lyapunov exponent is used to judge whether a time series is good or bad. Results show that the choice of the embedding dimension by using saturation of system invariants is not appropriate.

Key words: time series, reconstruction, Jacobian.PACC number(s):0540

CLC Number:

O411

Zhi an Yang, Shi gang Chen. ANALYSIS OF TIME SERIES RECONSTRUCTION FOR FORCED BRUSSELATOR SYSTEM[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 13(3): 315-322.

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ANALYSIS OF TIME SERIES RECONSTRUCTION FOR FORCED BRUSSELATOR SYSTEM

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