Chaos control of Duffing systems by random phase

Shuang Li; Wei Xu; Rui Hong Li

doi:10.7498/aps.55.1049

Chaos control of Duffing systems by random phase

Shuang Li
, Wei Xu
, Rui Hong Li

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In this paper, the effect of random phase for Duffing systems is investigated. We show that random phase can generate chaos or suppress chaos by the average of top Lyapunov exponent, which is computed based on Khasminskii's spherical coordinate formulation for linear stochastic systems. In addition, phase portraits, Poincaré surface of section and time evolution are studied to confirm the obtained results. Both methods lead to fully consistent results.

Original language	English
Pages (from-to)	1049-1054
Number of pages	6
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	55
Issue number	3
DOIs	https://doi.org/10.7498/aps.55.1049
State	Published - Mar 2006

Keywords

Chaos control
Poincaré surface of section
Random phase
The top Lyapunov exponent

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10.7498/aps.55.1049

Cite this

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title = "Chaos control of Duffing systems by random phase",

abstract = "In this paper, the effect of random phase for Duffing systems is investigated. We show that random phase can generate chaos or suppress chaos by the average of top Lyapunov exponent, which is computed based on Khasminskii's spherical coordinate formulation for linear stochastic systems. In addition, phase portraits, Poincar{\'e} surface of section and time evolution are studied to confirm the obtained results. Both methods lead to fully consistent results.",

keywords = "Chaos control, Poincar{\'e} surface of section, Random phase, The top Lyapunov exponent",

author = "Shuang Li and Wei Xu and Li, \{Rui Hong\}",

year = "2006",

month = mar,

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AU - Li, Shuang

AU - Xu, Wei

AU - Li, Rui Hong

PY - 2006/3

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N2 - In this paper, the effect of random phase for Duffing systems is investigated. We show that random phase can generate chaos or suppress chaos by the average of top Lyapunov exponent, which is computed based on Khasminskii's spherical coordinate formulation for linear stochastic systems. In addition, phase portraits, Poincaré surface of section and time evolution are studied to confirm the obtained results. Both methods lead to fully consistent results.

AB - In this paper, the effect of random phase for Duffing systems is investigated. We show that random phase can generate chaos or suppress chaos by the average of top Lyapunov exponent, which is computed based on Khasminskii's spherical coordinate formulation for linear stochastic systems. In addition, phase portraits, Poincaré surface of section and time evolution are studied to confirm the obtained results. Both methods lead to fully consistent results.

KW - Chaos control

KW - Poincaré surface of section

KW - Random phase

KW - The top Lyapunov exponent

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M3 - 文章

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SN - 1000-3290

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JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 3

ER -

Chaos control of Duffing systems by random phase

Abstract

Keywords

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