On the persistence of invariant tori for dynamical systems

CDSNS Colloquium
Monday, April 10, 2017 - 11:00
1 hour (actually 50 minutes)
Skiles 006
Dipartimento di Matematica e Fisica - Universita' di Roma Tre
Given a dynamical system (in finite or infinite dimension) it is very natural to look for finite dimensional invariant subspaces on which the dynamics is very simple. Of particular interest are the invariant tori on which the dynamics is conjugated to a linear one. The problem of persistence under perturbations of such objects has been widely studied starting form the 50's, and this gives rise to the celebrated KAM theory. The aim of this talk is to give an overview of the main difficulties and strategies, having in mind the application to PDEs.