Local bifurcations of the Chen system

Jinhu Lü; Tianshou Zhou; Guanrong Chen; Suochun Zhang

doi:10.1142/S0218127402005819

Local bifurcations of the Chen system

Jinhu Lü, Tianshou Zhou, Guanrong Chen, Suochun Zhang

Department of Electrical Engineering

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

89 Citations (Scopus)

Abstract

This paper introduces a new practical method for distinguishing chaotic, periodic and quasi-periodic orbits based on a new criterion, and apply it to investigate the local bifurcations of the Chen system. Conditions for supercritical and subcritical bifurcations are obtained, with their parameter domains specified. The analytic results are also verified by numerical simulation studies.

Original language	English
Pages (from-to)	2257-2270
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	12
Issue number	10
DOIs	https://doi.org/10.1142/S0218127402005819
Publication status	Published - Oct 2002

Research Keywords

Chen system
Local bifurcation
Subcritical
Supercritical

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title = "Local bifurcations of the Chen system",

abstract = "This paper introduces a new practical method for distinguishing chaotic, periodic and quasi-periodic orbits based on a new criterion, and apply it to investigate the local bifurcations of the Chen system. Conditions for supercritical and subcritical bifurcations are obtained, with their parameter domains specified. The analytic results are also verified by numerical simulation studies.",

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author = "Jinhu L{\"u} and Tianshou Zhou and Guanrong Chen and Suochun Zhang",

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T1 - Local bifurcations of the Chen system

AU - Lü, Jinhu

AU - Zhou, Tianshou

AU - Chen, Guanrong

AU - Zhang, Suochun

PY - 2002/10

Y1 - 2002/10

N2 - This paper introduces a new practical method for distinguishing chaotic, periodic and quasi-periodic orbits based on a new criterion, and apply it to investigate the local bifurcations of the Chen system. Conditions for supercritical and subcritical bifurcations are obtained, with their parameter domains specified. The analytic results are also verified by numerical simulation studies.

AB - This paper introduces a new practical method for distinguishing chaotic, periodic and quasi-periodic orbits based on a new criterion, and apply it to investigate the local bifurcations of the Chen system. Conditions for supercritical and subcritical bifurcations are obtained, with their parameter domains specified. The analytic results are also verified by numerical simulation studies.

KW - Chen system

KW - Local bifurcation

KW - Subcritical

KW - Supercritical

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U2 - 10.1142/S0218127402005819

DO - 10.1142/S0218127402005819

M3 - RGC 21 - Publication in refereed journal

SN - 0218-1274

VL - 12

SP - 2257

EP - 2270

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 10

ER -

Local bifurcations of the Chen system

Abstract

Research Keywords

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