Bifurcations of limit cycles for a perturbed quintic Hamiltonian system with four infinite singular points

Hongxian Zhou; Wei Xu; Xiaoshan Zhao; Bingchang Zhou

doi:10.1016/j.amc.2006.08.174

Bifurcations of limit cycles for a perturbed quintic Hamiltonian system with four infinite singular points

Hongxian Zhou
, Wei Xu
, Xiaoshan Zhao
, Bingchang Zhou

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

摘要

By using the theory of bifurcations of dynamical systems and the method of detection function to investigate the bifurcation of limit cycles of a perturbed quintic Hamiltonian system with 25 finite singular points and four infinite singular points. From the detection functions for the perturbed system, we prove that under different determined parameter condition, the given system has at least 22 and 20 limit cycles and the configurations of compound eyes are also obtained.

源语言	英语
页（从-至）	686-700
页数	15
期刊	Applied Mathematics and Computation
卷	187
期	2
DOI	https://doi.org/10.1016/j.amc.2006.08.174
出版状态	已出版 - 15 4月 2007

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10.1016/j.amc.2006.08.174

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title = "Bifurcations of limit cycles for a perturbed quintic Hamiltonian system with four infinite singular points",

abstract = "By using the theory of bifurcations of dynamical systems and the method of detection function to investigate the bifurcation of limit cycles of a perturbed quintic Hamiltonian system with 25 finite singular points and four infinite singular points. From the detection functions for the perturbed system, we prove that under different determined parameter condition, the given system has at least 22 and 20 limit cycles and the configurations of compound eyes are also obtained.",

keywords = "Detection function, Hopf bifurcation, Limit cycle, Perturbed planar Hamiltonian systems",

author = "Hongxian Zhou and Wei Xu and Xiaoshan Zhao and Bingchang Zhou",

year = "2007",

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T1 - Bifurcations of limit cycles for a perturbed quintic Hamiltonian system with four infinite singular points

AU - Zhou, Hongxian

AU - Xu, Wei

AU - Zhao, Xiaoshan

AU - Zhou, Bingchang

PY - 2007/4/15

Y1 - 2007/4/15

N2 - By using the theory of bifurcations of dynamical systems and the method of detection function to investigate the bifurcation of limit cycles of a perturbed quintic Hamiltonian system with 25 finite singular points and four infinite singular points. From the detection functions for the perturbed system, we prove that under different determined parameter condition, the given system has at least 22 and 20 limit cycles and the configurations of compound eyes are also obtained.

AB - By using the theory of bifurcations of dynamical systems and the method of detection function to investigate the bifurcation of limit cycles of a perturbed quintic Hamiltonian system with 25 finite singular points and four infinite singular points. From the detection functions for the perturbed system, we prove that under different determined parameter condition, the given system has at least 22 and 20 limit cycles and the configurations of compound eyes are also obtained.

KW - Detection function

KW - Hopf bifurcation

KW - Limit cycle

KW - Perturbed planar Hamiltonian systems

UR - https://www.scopus.com/pages/publications/34247238710

U2 - 10.1016/j.amc.2006.08.174

DO - 10.1016/j.amc.2006.08.174

M3 - 文章

AN - SCOPUS:34247238710

SN - 0096-3003

VL - 187

SP - 686

EP - 700

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Bifurcations of limit cycles for a perturbed quintic Hamiltonian system with four infinite singular points

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