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|
|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
|Date:||11 / 14 / 2011|
|Time:||03:35pm - 05:30pm|