Exponentially small phenomena: methods and applications
by
Vassili Gelfreich
University of Warwick

In the theory of ordinary differential equations exponentially small phenomena typically arise when an analytic system has two different time scales. A typical examples are a high-frequency perturbation of an autonomous system and a slow-fast system. In these two cases the presence of the two scales is obvious from the form of the equations. On the other hand in the normal form theory it is hidden and can manifest itself through symmetries of the normal form or can be visible after a proper rescaling of the variables.

In this talk we discuss the recent results in the field of exponentially small phenomena with special attention to bifurcation problems.

Date received: July 10, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavl-31.