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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Renato Calleja
McGill University
Title: Quasi-Periodic solutions in conservative and dissipative systems

Abstract: Quasi-Periodic motions appear in many different systems (e.g. celestial mechanics, solid-state physics, biological systems, etc.) I will discuss an a-posteriori KAM theory for the existence an persistence of quasi-periodic solutions. The consequences of the a-posteriori format of KAM theory include local uniqueness, regularity results, and the rigorous justification of a criterion for the breakdown of analyticity. This format also suggests and validates very efficient numerical methods to approximate quasi-periodic solutions and their breakdown of analyticity and hyperbolicity.

Date: Thursday, March 22, 2012
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer