PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mari Royer, Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.

Title:Exponentially small splitting of separatrices for several rapid periodic perturbations of the pendulum
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Marcel Guardia, University Politechnica Catalunia
Abstract:
In this talk we study the splitting of separatrices for the pendulum when it is perturbed rapidly and periodically. In that case, Melnikov theory can not be applied since the Melnikov function is exponentially small with respect to the period of the forcing. First we will consider an entire perturbation and we will see in which cases Melnikov integral predicts correctly the splitting and we will provide an alternative approach when it does not. Secondly we will consider a meromorphic perturbation and we will show how the size of the splitting depends on the size of the strip of analyticity of the perturbation.

Room Reservation Information

Room Number:MB106
Date:03 / 02 / 2009
Time:03:30pm - 05:30pm