Bifurcations of limit cycles in equivariant quintic planar vector fields

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:422

Article

Zhao, Liqin

关键词: Quintic system;    Limit cycle;    Abelian integral;    Equivariant vector field;   

DOI  :  10.1016/j.jmaa.2014.08.040

来源: Elsevier

【 摘 要 】

In this paper, we obtain 23 limit cycles for a Z(3)-equivariant near-Hamiltonian system of degree 5 which is the perturbation of a Z(6)-equivariant quintic Hamiltonian system. The configuration of these limit cycles is new and different from the configuration obtained by H.S.Y. Chan, K.W. Chung and J. Li, where the unperturbed system is a Z(3)-equivariant quintic Hamiltonian system. Our unperturbed system is different from the unperturbed systems studied by Y. Wu and M. Han. The limit cycles are obtained by Poincare-Pontryagin theorem and Poincare-Bendixson theorem. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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