Averaging and Perturbation from a Geometric Viewpoint

Dynamical Systems Working Seminar
Friday, April 27, 2018 - 15:05
1 hour (actually 50 minutes)
Skiles 271
This talk follows Chapter 4 of the well known text by Guckenheimer and Holmes. It is intended to present the theorems on averaging for systems with periodic perturbation, but slow evolution of the solution. Also, a discussion of Melnikov’s method for finding persistence of homoclinic orbits and periodic orbits will also be given. Time permitting, an application to the circular restricted three body problem may also be included.