理学院学术报告—Degenerate T-singularity bifurcation in 3D switching systems

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

报  告  人：陈兴武

报告时间：2023年12月5日10：30—12：00

报告地点：2B-409

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，2007年获四川大学理学博士学位，现任四川大学数学学院教授、博导，国家级一流线下课程《常微分方程》负责人，美国《数学评论》、欧洲《数学文摘》评论员。主要从事微分系统定性和分岔的理论及应用研究，在该研究方向的主流国际学术期刊Nonlinearity, JDE, SIMA, DCDS等发表一系列学术论文，部分成果获教育部自然科学一等奖；主持多项国家自然科学基金面上项目、青年项目，科技部政府间合作交流项目，并参与科技部国家重点研发项目；曾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