红楼Y论坛（第六十五讲）-The maximum number of small-amplitude limit cycles in non-smooth Li´enard systems

红楼Y论坛（第六十五讲）

Topic: The maximum number of small-amplitude limit cycles in non-smooth Li´enard systems

Time：15:00-16:00  Apr.12, 2023(Wednesday）

Place：Room457，Haiqin No.2

Speaker：Hongwei Shi

Abstract：In this paper, we investigate the small-amplitude limit cycles generated by the hopf bifurcation of the non-smooth Li´enard systems and provide a new method to find the small[1]amplitude limit cycles. By utilising Picard-Fuchs equation, we gain the upper bounds of the number of small-amplitude of limit cycles of the non-smooth Li´enard systems. Finally, an example is given to illustrate the efficiency of the theoretical results.