Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations

Hongxian Zhou; Wei Xu; Xiaoshan Zhao; Shuang Li

doi:10.1016/j.amc.2007.02.151

Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations

Hongxian Zhou, Wei Xu, Xiaoshan Zhao, Shuang Li

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

4 Scopus citations

Abstract

By using the bifurcation theory of planar dynamical systems and the method of detection functions to investigate the bifurcation of limit cycles of a perturbed quintic Hamiltonian system. It is shown that under two different sets of controlled parameters, the given system has at least 23 limit cycles having two different configurations of the compound eyes, respectively.

Original language	English
Pages (from-to)	490-503
Number of pages	14
Journal	Applied Mathematics and Computation
Volume	191
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2007.02.151
State	Published - 15 Aug 2007

Keywords

Detection function
Hopf bifurcation
Limit cycle
Quintic Hamiltonian system

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10.1016/j.amc.2007.02.151

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title = "Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations",

abstract = "By using the bifurcation theory of planar dynamical systems and the method of detection functions to investigate the bifurcation of limit cycles of a perturbed quintic Hamiltonian system. It is shown that under two different sets of controlled parameters, the given system has at least 23 limit cycles having two different configurations of the compound eyes, respectively.",

keywords = "Detection function, Hopf bifurcation, Limit cycle, Quintic Hamiltonian system",

author = "Hongxian Zhou and Wei Xu and Xiaoshan Zhao and Shuang Li",

year = "2007",

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T1 - Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations

AU - Zhou, Hongxian

AU - Xu, Wei

AU - Zhao, Xiaoshan

AU - Li, Shuang

PY - 2007/8/15

Y1 - 2007/8/15

N2 - By using the bifurcation theory of planar dynamical systems and the method of detection functions to investigate the bifurcation of limit cycles of a perturbed quintic Hamiltonian system. It is shown that under two different sets of controlled parameters, the given system has at least 23 limit cycles having two different configurations of the compound eyes, respectively.

AB - By using the bifurcation theory of planar dynamical systems and the method of detection functions to investigate the bifurcation of limit cycles of a perturbed quintic Hamiltonian system. It is shown that under two different sets of controlled parameters, the given system has at least 23 limit cycles having two different configurations of the compound eyes, respectively.

KW - Detection function

KW - Hopf bifurcation

KW - Limit cycle

KW - Quintic Hamiltonian system

UR - http://www.scopus.com/inward/record.url?scp=34548118258&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2007.02.151

DO - 10.1016/j.amc.2007.02.151

M3 - 文章

AN - SCOPUS:34548118258

SN - 0096-3003

VL - 191

SP - 490

EP - 503

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations

Abstract

Keywords

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