题目：Knotted Periodic Orbits and Chaotic Behavior of a Class of Three-Dimensional Flows
时间： 2011年11月24日（星期四）下午15:00—16:40
地 点：闵行校区数学系129会议厅
报告人：李继彬 教授（浙江师范大学，昆明理工大学）
摘 要：Cconsiders a class of three-dimensional systems constructed by rotating some planar symmetric polynomial vector fields. It shows that this class of systems has infinitely many distinct types of knotted periodic orbits, which lie on a family of invariant torus. For two three-dimensional systems, exact explicit parametric representations of the knotted periodic orbits are given. For their perturbed systems, the chaotic behavior is discussed by using two different methods.