On flows without points accumulated by periodic orbits of different indices
主 题: On flows without points accumulated by periodic orbits of different indices
报告人: Professor Alexander Arbieto (UFRJ, Brazil)
时 间: 2012-09-28 14:00-15:00
地 点: 理科一号楼1114 （数学所活动）
We study generic vector fields on closed manifolds without points
accumulated by periodic orbits of different indices. In a joint work with
Morales, we prove that if the singularities have codimension one then the flow
is sectional Axiom A. In the general case, joint with Morales and Santiago, we
show that they exhibit finitely many sinks and sectional-hyperbolic transitive
Lyapunov stable sets with residual basin of attraction.
