PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:On dependence on the order of the perturbation of the exponentially small splitting of separatrices
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Marcel Guardia, Penn State
Abstract:
The exponentially small splitting of separatrices appears naturally in analytic integrable Hamiltonian Systems with a fast periodic perturbation. In this setting Melnikov theory fails, in general, to predict correctly the distance between the invariant manifolds due to the exponential smallness. Moreover, this distance is extremely sensitive on the analyticity properties of the Hamiltonian System. In this talk we will explain how it depends on what was called by T. M. Seara and A. Delshams the order of the perturbation. This is joint work with I. Baldoma, E. Fontich and T. M. Seara.

Room Reservation Information

Room Number:MB106
Date:11 / 08 / 2010
Time:03:30pm - 05:30pm