题目：Global Dynamics of Quasi-homogeneous Systems
报告人：唐异垒 副教授（上海交通大学）
地点：宁静楼108室
时间：12月9日（星期六），上午 9:00-10:00
个人简介： 唐异垒，2005年获四川大学博士学位。先后访问了Plymouth University和University of Maribor，至2007年起任职上海交通大学，主要研究微分方程与动力系统，主要研究成果分别发表在Journal of Differential Equations, SIAM Journal of Applied Mathematics, Nonlinearity, Journal of Mathematical Biology等高水平SCI期刊上。
报告摘要
In this talk we provide a new method to study global dynamics of planar quasi homogeneous differential systems. We first prove that all planar quasi-homogeneous polynomial differential systems can be translated into homogeneous differential systems and show that all quintic quasi-homogeneous but non-homogeneous systems can be reduced to four homogeneous ones. Then we present some properties of homogeneous systems, which can be used to discuss the dynamics of quasi-homogeneous systems.
Finally we characterize the global topological phase portraits of quantic quasi homogeneous but non-homogeneous differential systems.
欢迎各位老师和同学参加！
English
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