中科院数学与系统科学研究院
数学研究所
动力系统研究中心
学术报告会
报告人：甘少波 教授（北京大学）
题 目：Singular vector fields far away from horseshoe
时 间：12.15（星期二）, 14:00--15:00
地 点：数学院南楼N913室
摘要:
Let X be a $C^1$ generic vector field far away from horseshoe and $\Lambda$ a nontrivial singular aperiodic chain recurrent class. We will show that $\Lambda$ admits some partially hyperbolic splitting w.r.t. the tangent flow of X. Especially, for 4-dimensional case, we show that $\Lambda$ could not be Lyapunov stable. This is a joint work with Dr. Rusong Zheng.