Analysis of a type of nonsmooth dynamical systems

Guofeng Zhang; Guanrong Chen; Tongwen Chen; Yanping Lin

doi:10.1016/j.chaos.2005.08.181

Analysis of a type of nonsmooth dynamical systems

Guofeng Zhang, Guanrong Chen, Tongwen Chen, Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

Abstract

In this paper, a class of nonsmooth dynamical systems is analyzed. Extensive simulations reveal the chaotic behavior in these systems. By introducing a parameter, a chain of systems with one end being a linear stable system and the other being a chaotic system is constructed. Then the phase transition process through the chain is investigated as the parameter varies. Difficulties involved in analyzing this class of systems are also discussed.

Original language	English
Pages (from-to)	1153-1164
Number of pages	12
Journal	Chaos, Solitons and Fractals
Volume	30
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2005.08.181
Publication status	Published - 1 Dec 2006
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1016/j.chaos.2005.08.181

Cite this

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abstract = "In this paper, a class of nonsmooth dynamical systems is analyzed. Extensive simulations reveal the chaotic behavior in these systems. By introducing a parameter, a chain of systems with one end being a linear stable system and the other being a chaotic system is constructed. Then the phase transition process through the chain is investigated as the parameter varies. Difficulties involved in analyzing this class of systems are also discussed.",

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T1 - Analysis of a type of nonsmooth dynamical systems

AU - Zhang, Guofeng

AU - Chen, Guanrong

AU - Chen, Tongwen

AU - Lin, Yanping

PY - 2006/12/1

Y1 - 2006/12/1

N2 - In this paper, a class of nonsmooth dynamical systems is analyzed. Extensive simulations reveal the chaotic behavior in these systems. By introducing a parameter, a chain of systems with one end being a linear stable system and the other being a chaotic system is constructed. Then the phase transition process through the chain is investigated as the parameter varies. Difficulties involved in analyzing this class of systems are also discussed.

AB - In this paper, a class of nonsmooth dynamical systems is analyzed. Extensive simulations reveal the chaotic behavior in these systems. By introducing a parameter, a chain of systems with one end being a linear stable system and the other being a chaotic system is constructed. Then the phase transition process through the chain is investigated as the parameter varies. Difficulties involved in analyzing this class of systems are also discussed.

UR - https://www.scopus.com/pages/publications/33745827712

U2 - 10.1016/j.chaos.2005.08.181

DO - 10.1016/j.chaos.2005.08.181

M3 - Journal article

SN - 0960-0779

VL - 30

SP - 1153

EP - 1164

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 5

ER -

Analysis of a type of nonsmooth dynamical systems

Abstract

ASJC Scopus subject areas

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