报告人：四川大学陈兴武教授

报告题目：Linearization and perturbations of switching systems

摘要：We talk about the linearization and perturbations of planar switching systems separated by x-axis and sharing the origin as a non-degenerate equilibrium. In the sense of Sigma-equivalence, we provide a sufficient condition for piecewise linearization near the origin, generalizing the classical linearization theorem to switching systems. This condition is hard to be weakened because there exist systems that are not linearizable when this condition is not satisfied. On the other hand, perturbations are considered for such systems to birth any finitely or infinitely many crossing limit cycles.

报告时间：2023年10月26日上午8:00-10:00

报告形式：腾讯会议，会议号：500-531-129

获取会议密码请发邮件至：ysu@hit.edu.cn

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beat365中国在线体育教授、博导，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项目和科技部政府间合作交流项目并参与国家重点研发项目；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。