摘要
主要研究了有2个中心和2个鞍点的S2可逆近哈密顿四次多项式系统的极限环数目。利用了Hopf分支和异宿分支的方法,二次哈密顿系统经过四次扰动可得极限环的数目为6个。此文所得的结果有利于对于第16问题第二部分的研究。
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.
出处
《沈阳航空航天大学学报》
2013年第1期92-94,共3页
Journal of Shenyang Aerospace University
关键词
极限环
异宿分支
S2可逆
HOPF分支
limit cycles
heteroclinic bifurcation
S2-reversible
Hopf bifurcation
