报告题目：Global studies on a continuous planar piecewise linear differential system with three zones
报告人：贾曼
报告时间：2024年1月21日上午9:00-10:00
报告地点：藕舫楼702
主持人：糜泽亚
报告摘要：This paper is concerned with the global dynamics of a continuous planar piecewise linear differential system with three zones, where the dynamic of the one of the exterior linear zones is saddle and the remaining one is anti-saddle. We give all global phase portraits in the Poincaré disc and the complete bifurcation diagram including boundary equilibrium bifurcation curves, degenerate boundary equilibrium bifurcation curves, homoclinic bifurcation curves and double limit cycle bifurcation curves. Its application in a second-order memristor oscillator is shown. Finally, some numerical phase portraits are demonstrated to illustrate our theoretical results.
报告人简介：贾曼，中南大学博士后。2023年博士毕业于福州大学，主要研究光滑及非光滑微分方程的定性理论与分岔理论，获得中国博士后科学基金第74批面上和2023年度国家资助博士后研究人员计划C档资助。研究结果发表在SIAM J. Math. Anal.，J. Differential Equations，Nonlinear Dynam. 等国际期刊上。
数学与统计学院
2024年1月10日