Dia: Dimecres, 21 de juny de 2017
Lloc: Aula T2 (2n pis), Facultat de Matemàtiques i Informàtica, UB.
A càrrec de: Renato Calleja, Departamento de Matemáticas y Mecánica, IIMAS-UNAM
Títol: KAM tori in mechanical systems with friction: the limit of small friction
Resum: Many problems in Physics are described by conformally symplectic systems (e.g. mechanical systems with a friction proportional to the velocity, variational problems with a small discount or thermostated systems.
I will present a study of the limit of small dissipation in conformally symplectic systems. Conformally symplectic systems are characterized by the property that they transform a symplectic form into a multiple of itself. I will present a conjecture about the geometry of the domains and numerical computations that support it. The numerical computations are based on the parameterization method for conformally symplectic systems. This is joint work with Alessandra Celletti, Rafael de la Llave, and Adrián P. Bustamante.
Last updated: Mon Jun 19 08:21:09 2017