Abstract:
The initial results by Kolmogorov, Arnold and Moser concerned the
persistence under perturbations of maximal tori in Hamiltonian
systems. Since then generalizations have been obtained in a variety
of directions. In particular, the tori may be of lower dimension
and the dynamical system does not have to preserve a symplectic
structure. Consequences that are touched upon in this minisymposium
are infinite-dimensional systems defined by partial differential
equations, where the quasi-periodic solutions have a finite number
of frequencies, or the bifurcations brought upon by changes in the
normal behaviour of the invariant tori.
Organizers:
Gene Wayne
Heinz Hanssmann