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

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences
Tsinghua University
City University of Hong Kong
CAS - Institute of Applied Mathematics

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

89 Scopus citations

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
Number of pages	14
Journal	International Journal of Bifurcation and Chaos
Volume	12
Issue number	10
DOIs	https://doi.org/10.1142/S0218127402005819
State	Published - Oct 2002
Externally published	Yes

Keywords

Chen system
Local bifurcation
Subcritical
Supercritical

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10.1142/S0218127402005819

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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.",

keywords = "Chen system, Local bifurcation, Subcritical, Supercritical",

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

year = "2002",

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doi = "10.1142/S0218127402005819",

language = "英语",

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TY - JOUR

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

UR - https://www.scopus.com/pages/publications/0036816198

U2 - 10.1142/S0218127402005819

DO - 10.1142/S0218127402005819

M3 - 文章

AN - SCOPUS:0036816198

SN - 0218-1274

VL - 12

SP - 2257

EP - 2270

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 10

ER -

Local bifurcations of the Chen system

Abstract

Keywords

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