Limit cycles of a-reversible quartic polynomials system

WU Ping

doi:10.3969/j.issn.2095-1248.2013.01.020

Journal of Shenyang Aerospace University >

2013 , Vol. 30 >Issue 1: 92 - 94

DOI: https://doi.org/10.3969/j.issn.2095-1248.2013.01.020

Fundamental Science

Limit cycles of a-reversible quartic polynomials system

WU Ping

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Institute of Higher Education, Shenyang Aerosity University, Shenyang 110136

Received date: 2012-11-01

Online published: 2013-02-15

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Abstract

This paper is concerned with the number and distribution of limit cycles of a perturbed quadratic Hamiltonian system which has 2 centers and 2 saddle points. The perturbation skills are applied to study the Hopf and heteroclinic bifurcation of such system under S₂-reversible quartic perturbation. It is found that the perturbed system can have 6 limit cycles. The results acquired in this paper are useful to the study of the second part of 16th Hilbert Problem.

Key words： limit cycles; heteroclinic bifurcation; S₂-reversible; Hopf bifurcation

Cite this article

WU Ping . Limit cycles of a-reversible quartic polynomials system[J]. Journal of Shenyang Aerospace University, 2013 , 30(1) : 92 -94 . DOI: 10.3969/j.issn.2095-1248.2013.01.020

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