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

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	490-503
页数	14
期刊	Applied Mathematics and Computation
卷	191
期	2
DOI	https://doi.org/10.1016/j.amc.2007.02.151
出版状态	已出版 - 15 8月 2007

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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",

month = aug,

day = "15",

doi = "10.1016/j.amc.2007.02.151",

language = "英语",

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TY - JOUR

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 - https://www.scopus.com/pages/publications/34548118258

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

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