Global synchronization of two parametrically excited systems using active control

Youming Lei; Wei Xu; Jianwei Shen; Tong Fang

doi:10.1016/j.chaos.2005.05.043

Global synchronization of two parametrically excited systems using active control

Youming Lei, Wei Xu, Jianwei Shen, Tong Fang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

73 Scopus citations

Abstract

In this paper, we apply an active control technique to synchronize a kind of two parametrically excited chaotic systems. Based on Lyapunov stability theory and Routh-Hurwitz criteria, some generic sufficient conditions for global asymptotic synchronization are obtained. Illustrative examples on synchronization of two Duffing systems subject to a harmonic parametric excitation and that of two parametrically excited chaotic pendulums are considered here. Numerical simulations show the validity and feasibility of the proposed method.

Original language	English
Pages (from-to)	428-436
Number of pages	9
Journal	Chaos, Solitons and Fractals
Volume	28
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2005.05.043
State	Published - Apr 2006

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10.1016/j.chaos.2005.05.043

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title = "Global synchronization of two parametrically excited systems using active control",

abstract = "In this paper, we apply an active control technique to synchronize a kind of two parametrically excited chaotic systems. Based on Lyapunov stability theory and Routh-Hurwitz criteria, some generic sufficient conditions for global asymptotic synchronization are obtained. Illustrative examples on synchronization of two Duffing systems subject to a harmonic parametric excitation and that of two parametrically excited chaotic pendulums are considered here. Numerical simulations show the validity and feasibility of the proposed method.",

author = "Youming Lei and Wei Xu and Jianwei Shen and Tong Fang",

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AU - Lei, Youming

AU - Xu, Wei

AU - Shen, Jianwei

AU - Fang, Tong

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Y1 - 2006/4

N2 - In this paper, we apply an active control technique to synchronize a kind of two parametrically excited chaotic systems. Based on Lyapunov stability theory and Routh-Hurwitz criteria, some generic sufficient conditions for global asymptotic synchronization are obtained. Illustrative examples on synchronization of two Duffing systems subject to a harmonic parametric excitation and that of two parametrically excited chaotic pendulums are considered here. Numerical simulations show the validity and feasibility of the proposed method.

AB - In this paper, we apply an active control technique to synchronize a kind of two parametrically excited chaotic systems. Based on Lyapunov stability theory and Routh-Hurwitz criteria, some generic sufficient conditions for global asymptotic synchronization are obtained. Illustrative examples on synchronization of two Duffing systems subject to a harmonic parametric excitation and that of two parametrically excited chaotic pendulums are considered here. Numerical simulations show the validity and feasibility of the proposed method.

UR - https://www.scopus.com/pages/publications/27144446106

U2 - 10.1016/j.chaos.2005.05.043

DO - 10.1016/j.chaos.2005.05.043

M3 - 文章

AN - SCOPUS:27144446106

SN - 0960-0779

VL - 28

SP - 428

EP - 436

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

Global synchronization of two parametrically excited systems using active control

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