报告人：王磊 副教授（合肥学院）

报告题目：Singular cycles connecting saddle periodic orbit and saddle equilibrium in piecewise smooth systems

报告摘要：For flows, the singular cycles connecting saddle periodic orbit and saddle equilibrium can potentially result in the so-called singular horseshoe, which means the existence of a non-uniformly hyperbolic chaotic invariant set. However, it is very hard to find a specific dynamical system that exhibits such singular cycles in general. In this paper, the existence of the singular cycles involving saddle periodic orbits is studied by two types of piecewise smooth systems: One is the piecewise smooth systems having an admissible saddle point with only real eigenvalues and an admissible saddle periodic orbit, and the other is the piecewise smooth systems having an admissible saddle-focus and an admissible saddle periodic orbit. Several kinds of sufficient conditions are obtained for the existence of only one heteroclinic cycle or only two heteroclinic cycles in the two types of piecewise smooth systems, respectively. In addition, some examples are presented to illustrate the results.

报告人简介：王磊，合肥学院副教授，2016年博士毕业于sunbet中国官网，2018-2019年到德国亚琛工业大学数学研究所访问一年，研究方向为非光滑动力系统、混沌。

报告时间：2019年12月14日（星期六）晚上19:00-20:30

报告地点：科技楼南楼602会议室