Global dynamics of a Wilson polynomial Lienard equation
发布时间：2020-02-21
点击次数：
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