刘兴波 教授:Dynamics near the heterodimensional cycles with heterodimensional tangency

讲座时间 Datetime: 
星期五, 2018/05/25 - 15:3016:30
地点 Venue: 
海滨红楼6号楼1楼会议室
报告人 Speaker: 
刘兴波 教授
单位 Affiliation: 
华东师范大学
报告摘要 Abstract: 

It is well known that the existence of homoclinic and heteroclinic connections implies a complex dynamical behavior in a neighborhood of such connections. In this talk, we will introduce several different types of heterodimensional cycle in high dimensional system. Furthermore, we will demonstrate how to construct a Poincare return map to obtain the expressions of parametric curves of homoclinic and heteroclinic connections around the heterodimensional cycle with heterodimensional tangency.