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SEMINARS
Three-Dimensional Dynamical Systems Which Yield Knotted Periodic Solutions and Chaos Solutions
时间  Datetime
2017-07-03 16:30 — 17:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
李继彬
单位  Affiliation
华侨大学
邀请人  Host
动力系统与常微分方程组
报告摘要  Abstract

We  considers a few of classes of three-dimensional systems constructed by a rotating   planar symmetric  vector field. Our study shows that these classes of systems  have infinitely many distinct types of knotted periodic orbits, which lie on some families of invariant tori.  For these three-dimensional systems, we  obtain the exact explicit parametric representations of the knotted periodic orbits and homoclinic orbits. For their perturbed systems, the chaotic behavior is discussed by using two different methods.