AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A QUINTIC HAMILTONIAN PLANAR VECTOR FIELD UNDER QUINTIC PERTURBATION

被引：4

作者：

Johnson, Tomas ^{[1
]}

Tucker, Warwick ^{[2
]}

机构：

[1] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden

[2] Univ Bergen, Dept Math, N-5008 Bergen, Norway

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 01期

关键词：

Limit cycles; bifurcation theory; planar Hamiltonian systems; interval analysis; 16TH PROBLEM; SYSTEM;

D O I：

10.1142/S0218127410025405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The limit cycle bifurcation of a Z(2) equivariant quintic planar Hamiltonian vector field under Z2 equivariant quintic perturbation is studied. We prove that the given system can have at least 27 limit cycles. This is an improved lower bound on the possible number of limit cycles that can bifurcate from a quintic planar Hamiltonian system under quintic perturbation.

引用

页码：63 / 70

页数：8

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