题目      Star vector fields and singular hyperbolicity

报告人： 甘少波教授（ 北京大学威尼斯人 ， 国家杰出青年基金获得者）

时间：   2013.11.1 星期五  下午 3：00-4：00

地点：   维格堂 119. 

 

摘要      A vector field is called a star vector field if the vector field has a C^1 neighborhood such that every singularity and periodic orbit of every vector field in this neighborhood are all hyperbolic. I will first give some motivations for the studying of star systems and then explain two examples: Cherry flow and Lorenz attractor. And then I will sketch the proof that every Lyapunov stable chain class of a star vector field is singular hyperbolic. As a consequence, every 4-dimensional star vector field is singular hyperbolic.