MS18 ~ Monday, May 22, 1995 ~ 10:00 AM

Diffusion in Multidimensional Hamiltonian Systems

This session is devoted to the study of long time diffusion which occurs in Hamiltonian systems besides the regular quasiperiodic solutions of the KAM tori. In the past few years, great progress has been achieved in celestial mechanics, involving many (more than 2) degrees of freedom models for the study of the dynamics of the asteroids and the planets in the solar system, and several examples of important physical interest will be reported. In this context, new general results on Hamiltonian system stability have also been obtained which scope extends much beyond the dynamics of the solar system.

Organizer: Jacques Laskar, Bureau des Longitudes - CNRS, France

Superexponential Stability of KAM Tori
Alessandro Morbidelli, CNRS, France and Antonio Giorgilli, Università di Milano, Italy
Fast Diffusion in the Kirkwood Gaps
Michele Moons, Facultad Universität Notre Dame de la Paix, Belgium
Chaos as a Clock: Diffusion in Asteroid Families
Andrea Milani, Università de Pisa, Italy
Large Scale Chaos in the Solar System
Jacques Laskar, Organizer