KAM Theory and its applications
Kolmogorov-Arnold-Moser Theory of is a major part of Dynamical Systems Theory, dealing with the typical occurrence of quasi-periodicity in dynamical systems. The interest will be with invariant tori of all the possible dimensions, carrying quasi-periodic motions, in Hamiltonian systems (the mainstream of KAM Theory) as well as in volume-preserving, reversible, and dissipative systems, where external parameters are usually needed to make quasi-periodic dynamics occurring in a robust way. In the dissipative setting one typically meets ‘families of quasi-periodic attractors’ that can figure as a transient stage to chaos. Of increasing importance is quasi-periodicity in infinite dimensional systems like partial differential equations. In all cases transitions (or bifurcations) between qualitatively different kinds of dynamics are of great interest.
Organized by: H.W. Broer (University of Groningen, Netherlands), H. Hanßmann (Universiteit Utrecht, Netherlands), and M.B. Sevryuk (The Russia Academy of Sciences, Russia)