Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops
Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops
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DOI：
10.1088/0951-7715/18/1/016
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发表时间：
2005
期刊：
影响因子：
1.7
通讯作者：
I. Iliev;Chengzhi Li;Jiang Yu
中科院分区：
文献类型：
--
作者：
I. Iliev;Chengzhi Li;Jiang Yu
研究了一类具有两个中心的平面二次可积（非Hamilton）系统在二次扰动下的极限环分支.通过对Abel积分零点个数的研究，得到了由Abel积分的比值定义的平面曲线分支出的极限环的个数和分布的完整结果.
We investigate the bifurcations of limit cycles in a class of planar quadratic integrable (non-Hamiltonian) systems with two centres, both surrounded by unbounded heteroclinic loops, under small quadratic perturbations. By a careful study of the number of zeros of Abelian integrals based on the geometric properties of some planar curves, defined by ratios of such integrals, we obtain complete results about the number and the distribution of limit cycles bifurcating from the two period annuli.