Chaos prediction in the Duffing-type system with non-smooth periodic perturbation and bounded parametric excitation

Yu Jun Niu; Wei Xu; Hai Wu Rong; Liang Wang; Jin Qian Feng

Chaos prediction in the Duffing-type system with non-smooth periodic perturbation and bounded parametric excitation

Yu Jun Niu, Wei Xu, Hai Wu Rong, Liang Wang, Jin Qian Feng

School of Mathematics and Statistics

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

9 Scopus citations

Abstract

In this paper, the dynamics of Duffing-type system with non-smooth periodic perturbation and bounded noise was studied. The theory of Fourier series was used in this system to deal with the non-smooth character for the first time. The analytical condition for the appearance of chaos was given using stochastic Melnikov method. The numerical simulations confirm the validity of this method.

Original language	English
Pages (from-to)	7535-7540
Number of pages	6
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	57
Issue number	12
State	Published - Dec 2008

Keywords

Bounded noise
Maximal Lyapunov exponents
Non-smooth dynamics
Stochastic Melnikov function

Cite this

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title = "Chaos prediction in the Duffing-type system with non-smooth periodic perturbation and bounded parametric excitation",

abstract = "In this paper, the dynamics of Duffing-type system with non-smooth periodic perturbation and bounded noise was studied. The theory of Fourier series was used in this system to deal with the non-smooth character for the first time. The analytical condition for the appearance of chaos was given using stochastic Melnikov method. The numerical simulations confirm the validity of this method.",

keywords = "Bounded noise, Maximal Lyapunov exponents, Non-smooth dynamics, Stochastic Melnikov function",

author = "Niu, {Yu Jun} and Wei Xu and Rong, {Hai Wu} and Liang Wang and Feng, {Jin Qian}",

year = "2008",

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journal = "Wuli Xuebao/Acta Physica Sinica",

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T1 - Chaos prediction in the Duffing-type system with non-smooth periodic perturbation and bounded parametric excitation

AU - Niu, Yu Jun

AU - Xu, Wei

AU - Rong, Hai Wu

AU - Wang, Liang

AU - Feng, Jin Qian

PY - 2008/12

Y1 - 2008/12

N2 - In this paper, the dynamics of Duffing-type system with non-smooth periodic perturbation and bounded noise was studied. The theory of Fourier series was used in this system to deal with the non-smooth character for the first time. The analytical condition for the appearance of chaos was given using stochastic Melnikov method. The numerical simulations confirm the validity of this method.

AB - In this paper, the dynamics of Duffing-type system with non-smooth periodic perturbation and bounded noise was studied. The theory of Fourier series was used in this system to deal with the non-smooth character for the first time. The analytical condition for the appearance of chaos was given using stochastic Melnikov method. The numerical simulations confirm the validity of this method.

KW - Bounded noise

KW - Maximal Lyapunov exponents

KW - Non-smooth dynamics

KW - Stochastic Melnikov function

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M3 - 文章

AN - SCOPUS:59549097149

SN - 1000-3290

VL - 57

SP - 7535

EP - 7540

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 12

ER -

Chaos prediction in the Duffing-type system with non-smooth periodic perturbation and bounded parametric excitation

Abstract

Keywords

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