PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, Anatole Katok.

Title:Smoothing Lyapunov functions
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Albert Fathi, École Normale Supérieure de Lyon
Abstract:
This is a joint work Pierre Pageault. A Lyapunov function is a a function which is non-increasing along orbits of a dynamical systems. Continuous Lyapunov functions for flows have been constructed by Conley. Smooth Lyapunov functions can be constructed by Conley's method for homeomorphisms. However there are examples of continuous flows which do not admit a smooth non-constant Lyapunov function. We will explain this phenomenon. We will also give results on the possibility of approximating a Lyapunov function by a smooth Lyapunov function.

Room Reservation Information

Room Number:MB106
Date:03 / 21 / 2011
Time:03:35pm - 05:30pm