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发表刊物：

Proccedings of the American Mathematical Society

摘要：

Gasull and Sabatini in [Ann. Mat. Pura Appl., 2019] studied limit cycles of a Li enard system which has a xed invariant curve, i.e., a Wilson polynomial Li enard system. The Li enard system can be changed into $\dot x=y-(x^2-1)(x^3-bx), ~ \dot y=-x(1+y(x^3-bx))$. For $b\leq0.7 limit cycles of the system are studied completely. But, for 0.7 < b < 0.76, the exact number of limit cycles is still unknown, and Gasull and Sabatini conjectured that the exact number of limit cycles is two(including multiplicities). In this paper, we give a positive answer of this conjecture and study all bifurcatio

第一作者：

Chen Haibo

论文类型：

期刊论文

通讯作者：

Chen Hebai*

学科门类：

数学

文献类型：

J

卷号：

148

期号：

11

页面范围：

4769-4780

是否译文：

否

收录刊物：

SCI