KO-9   Tuesday July 9 - 08:45

MS12 Part 1 of 2 - KAM Theory

MS12 Part 2 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

08:45 - 09:15 - Gabriella Pinzari - On the co-existence of maximal and whiskered KAM tori in the three-body problem [Abstract]

09:15 - 09:45 - Angel Jorba - Reducibility and fractalization of invariant curves [Abstract]

09:45 - 10:15 - Florian Wagener - Double Hopf bifurcations at normal-normal resonance [Abstract]