关于举行山东大学张旭副教授学术报告会的通知

报告题目：A geometric criterion for the existence of chaos based on periodic orbits in continuous-time autonomous systems

报  告  人：张旭  副教授（山东大学）

报告时间：2019年10月25日（星期五）上午9:00-11:30                 

报告地点：4号楼4318室

邀  请  人：杨启贵  教授

欢迎广大师生前往！

数学学院

2019年10月24日

报告摘要：

In this talk, a new geometric criterion is introduced for the existence of chaos in continuous-time autonomous systems in three-dimensional Euclidean spaces: the intersection of stable and unstable manifolds of two points on a hyperbolic periodic orbit implies the existence of a Smale horseshoe in a subshift of finite type on cross-sections of these two points. This criterion is based on the existence of a hyperbolic periodic orbit, differing from the classical equilibrium-based Shilnikov criterion and the condition of transversal homoclinic or heteroclinic orbits of Poincare maps.