• English
  • Español
  • Français
Hamiltonian Dynamics and Celestial Mechanics
Detalles
Fecha: 
05/30/2011 to 06/03/2011
Contacto: 

Patricia Yanguas Sayas (yanguas@unavarra.es)

The main goal of this workshop is honoring Professor Kenneth R. Meyer (http://math.uc.edu/~meyer/) for his incredible career on the occasion of his 75th year. Professor Meyer has been a guiding influence in Celestial Mechanics and Hamiltonian Systems for more than 40 years and has produced a voluminous and celebrated opus of work on many topics in Dynamical Systems in general, and Celestial Mechanics, in particular.

We intend to get a deep insight in a range of theoretical and applied aspects related with the context of normal forms for Hamiltonian systems. Theoretical issues include stability of special solutions of the Hamilton equations, classification of bifurcations of equilibria or the study of collisions and integral manifolds, subjects in which Ken Meyer has been a pioneer. Applications appear in Astrodynamics, Celestial Mechanics, Physics or Chemistry.

The discussion of the existence of quasi-periodic motions for the N-body problem using averaging and KAM theorems for degenerate systems is an issue to deal with in the workshop. The combination of KAM theory with normal forms techniques and averaging theories treated from a geometric point of view are essential tools in the reconstruction of the flow, and in this area, Professor Meyer has made substantial contributions.