报告题目：Degenerate T-singularity bifurcation in 3D switching systems

报 告 人：陈兴武教授（四川大学）

报告时间：2025年4月20日  09:30-10:30

报告地点：格物楼402

报告摘要：

We talk about the bifurcation of degenerate T-singularity on the switching manifold for 3-dimentional switching systems. When a condition required in previous publications is not satisfied, a further non-degenerate condition determined by terms no more than degree two of perturbation is constructed, under which we obtain the pseudo-equilibrium bifurcation curve besides previous two bifurcation curves. Moreover, we prove that there exist either one family or two families of non-isolated crossing periodic orbits or at most two crossing periodic orbits and it is reachable. Corresponding necessary and sufficient conditions are given as well as periods and locations of these crossing periodic orbits.

报告人简介：

陈兴武，四川大学数学学院教授、博导，四川省学术带头人。主要从事微分方程定性分析的理论及应用研究，主要成果发表在JDE、Nonlinearity、JNS、SIAM J. Math. Anal.、Bull. Sci. Math.、Physica D.、DCDS等主流国际学术期刊上，部分成果获教育部自然科学一等奖；主持四川省杰出青年基金项目、国家自然科学基金面上项目、科技部政府间合作交流项目、教育部博士点基金项目，并参与国家重点研发项目；应邀赴美国明尼苏达大学、西班牙巴塞罗那自治大学等学术机构交流访问。