The number of limit cycles for a class of quintic Hamiltonian systems under quintic perturbations - Details

author：

Chen, G. (Chen, G..) ^[1] | Wu, Y. (Wu, Y..) ^[2] | Yang, X. (Yang, X..) ^[3]

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Scopus

Abstract：

The　Hopf　bifurcation　and　homoclinic　bifurcation　of　the　quintic　Hamiltonian　system　is　analyzed　under　quintic　perturbations　by　using　unfolding　theory　in　this　paper.　We　show　that　a　quintic　system　can　have　at　least　29　limit　cycles.

Keyword：

Bifurcation; Limit cycle; Quintic Hamiltonian system

Community：

[ 1 ] [Chen, G.]Department of Mathematics, Fuzhou University, Fuzhou 350002, China
[ 2 ] [Wu, Y.]Department of Mathematics, Fuzhou University, Fuzhou 350002, China
[ 3 ] [Yang, X.]Department of Mathematics, Fuzhou University, Fuzhou 350002, China

Reprint 's Address：

[Chen, G.]Department of Mathematics, Fuzhou University, Fuzhou 350002, China

Email：

gnchen@fzu.edu.cn

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Source ：

Journal of the Australian Mathematical Society

ISSN： 1446-7887

Year： 2002

Issue： 1

Volume： 73

Page： 37-53

0 . 5 0 0

JCR@2023

JCR Journal Grade：4

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WoS CC Cited Count： 0

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ESI Highly Cited Papers on the List： 0 Unfold All

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30 Days PV： 1

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