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

Access to Document

10.1016/j.chaos.2005.05.043

Cite this

@article{7a590013e92e4fcfb9818ca8359ee3d9,

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",

year = "2006",

month = apr,

doi = "10.1016/j.chaos.2005.05.043",

language = "英语",

volume = "28",

pages = "428--436",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Ltd",

number = "2",

}

TY - JOUR

T1 - Global synchronization of two parametrically excited systems using active control

AU - Lei, Youming

AU - Xu, Wei

AU - Shen, Jianwei

AU - Fang, Tong

PY - 2006/4

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 - http://www.scopus.com/inward/record.url?scp=27144446106&partnerID=8YFLogxK

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this