Dynamics near the heterodimensional cycles with heterodimensional tangency

讲座时间 Datetime: 

星期五, 2018/05/25 - 从 15:30 到 16:30

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.