KO-9   Tuesday July 9 - 15:30

MS12 Part 2 of 2 - KAM Theory

MS12 Part 1 of 2

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.

Gene Wayne
Heinz Hanssmann

15:30 - 16:00 - Riccardo Montalto - KAM theory and long time dynamics around finite gap solutions of KdV equations [Abstract]

16:00 - 16:30 - Dario Valdebenito - Quasiperiodic solutions of elliptic equations on the entire space [Abstract]