Limit cycles and chaotic invariant sets in autonomous hybrid planar systems

Xiao-Song Yang; Guanrong Chen

doi:10.1016/j.nahs.2008.03.004

Limit cycles and chaotic invariant sets in autonomous hybrid planar systems

Xiao-Song Yang, Guanrong Chen

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

8 Citations (Scopus)

Abstract

This paper demonstrates that complex dynamical behaviors such as limit cycles and chaotic invariant sets can exist in some simple autonomous hybrid planar systems governed by simple transition laws. © 2008 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	952-957
Journal	Nonlinear Analysis: Hybrid Systems
Volume	2
Issue number	3
DOIs	https://doi.org/10.1016/j.nahs.2008.03.004
Publication status	Published - Aug 2008

Research Keywords

Chaotic set
Hybrid system
Limit cycle
Planar system

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10.1016/j.nahs.2008.03.004

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@article{e9d186d895b540e298c98479ad1f241a,

title = "Limit cycles and chaotic invariant sets in autonomous hybrid planar systems",

abstract = "This paper demonstrates that complex dynamical behaviors such as limit cycles and chaotic invariant sets can exist in some simple autonomous hybrid planar systems governed by simple transition laws. {\textcopyright} 2008 Elsevier Ltd. All rights reserved.",

keywords = "Chaotic set, Hybrid system, Limit cycle, Planar system",

author = "Xiao-Song Yang and Guanrong Chen",

year = "2008",

month = aug,

doi = "10.1016/j.nahs.2008.03.004",

language = "English",

volume = "2",

pages = "952--957",

journal = "Nonlinear Analysis: Hybrid Systems",

issn = "1751-570X",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Limit cycles and chaotic invariant sets in autonomous hybrid planar systems

AU - Yang, Xiao-Song

AU - Chen, Guanrong

PY - 2008/8

Y1 - 2008/8

N2 - This paper demonstrates that complex dynamical behaviors such as limit cycles and chaotic invariant sets can exist in some simple autonomous hybrid planar systems governed by simple transition laws. © 2008 Elsevier Ltd. All rights reserved.

AB - This paper demonstrates that complex dynamical behaviors such as limit cycles and chaotic invariant sets can exist in some simple autonomous hybrid planar systems governed by simple transition laws. © 2008 Elsevier Ltd. All rights reserved.

KW - Chaotic set

KW - Hybrid system

KW - Limit cycle

KW - Planar system

UR - http://www.scopus.com/inward/record.url?scp=45449091721&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-45449091721&origin=recordpage

U2 - 10.1016/j.nahs.2008.03.004

DO - 10.1016/j.nahs.2008.03.004

M3 - RGC 21 - Publication in refereed journal

SN - 1751-570X

VL - 2

SP - 952

EP - 957

JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

IS - 3

ER -

Limit cycles and chaotic invariant sets in autonomous hybrid planar systems

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Research Keywords

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