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
报告地点:数学楼102报告厅
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.