PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok.

Title:On the multiplicity of periodic orbits for Tonelli systems
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Marco Mazzucchelli, Penn State
Abstract:
In this talk I shall sketch a proof of the following result: on a closed configuration space M, the Euler-Lagrange system associated to any time-periodic Tonelli Lagrangian function L : R/Z×TM → R admits infinitely many periodic solutions. More precisely, I will show that there are infinitely many contractible periodic orbits with a priori bounded mean action and either infinitely many of them are 1-periodic or their basic period is unbounded. The proof is based on topological methods from critical point theory.

Room Reservation Information

Room Number:MB106
Date:11 / 14 / 2011
Time:03:35pm - 05:30pm