On the genericity of Lorenz-like dynamics
发布人: 贾挚   发布时间: 2017-12-06   浏览次数: 10
报告题目: On the genericity of Lorenz-like dynamics
报告人: 杨大伟, 教授、博士生导师, 苏州大学 
报告时间: 2017年12月13日(星期三)下午2:30 至 3:30

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.