## Dynamical Systems

•  Fan Yang, Michigan State University
•  A dichotomy for generic star flows
•  07/12/2022
•  2:00 PM - 3:00 PM
•  C304 Wells Hall
•  Huyi Hu (hhu@msu.edu)

In this talk we will present some recent progress on the topological structure of the so-called star flows (flows whose critical elements, i.e., singularities and periodic orbits, are hyperbolic in a robust way). In particular, we will prove that for $C^1$ generic star flows, every chain recurrent class with positive topological entropy must be isolated. On the other hand, zero entropy chain recurrent classes only support trivial ergodic measures.

## Contact

Department of Mathematics
Michigan State University