报告题目：Limit cycles and stability analysis in 3-piecewise linear differential systems with a double heteroclinic loop

报告人：刘姗姗讲师，福建师范大学

报告时间：2025年11月4日（周二）11:00-12:00

报告地点：22-218

报告摘要：This talk is devoted to studying lower and upper bounds of the number of limit cycles in a class of 3-piecewise linear differential systems with a double heteroclinic loop under perturbations of polynomials with degree n. By using the first order Melnikov function, we obtain that 2n limit cycles can appear near two centers and the double heteroclinic loop respectively, and that there are at most 2n+2[( n+1)/2]+2 limit cycles bifurcating from two period annuluses between two centers and the double heteroclinic loop up to the first order in ε. In particular, for n = 3, we consider a 3-piecewise linear Z2-equivariant system and, by using the stability-changing method, obtain a total of ten limit cycles, four of which are alien limit cycles with two large ones surrounding two symmetric smaller ones.

报告人简介：刘姗姗，福建师范大学讲师。主要从事微分方程与动力系统方向的研究工作，特别是弱化的Hilbert第16问题、同宿异宿等极限环分支问题，在J. Differential Equations、Chaos Solitons Fractals、Comput. Appl. Math.、Bull. Sci. Math. 等SCI学术期刊上发表论文多篇。

邀请人：动力系统与非线性分析研究所