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题目: On the genericity of Lorenz-like dynamics

 

报告人:杨大伟  教授   (苏州大学)

 

摘要:The aim is to describe "most" dynamics for three-dimensional vector fields in the $C^1$ topology. We prove that any three-dimensional vector field can be either accumulated by Lorenz-like dynamics (which are called "singular hyperbolic dynamics"), or ones with a homoclinic tangency of some regular periodic orbit. The main difficulty is to deal with singularities. This answers a conjecture of Palis and is a joint work with S. Crovisier.

 

时间:9月17日  18:30-20:30

 

地点:蒙民伟楼 1105

 

邀请人:周麒  老师