Kolmogorov-Arnold-Moser Theory is a major part of Dynamical Systems Theory, dealing
with the typical occurrence of quasi-periodicity in dynamical systems. Originally this research
comes from celestial mechanics and is concerned with problems like the stability of the
Solar System. From the beginning it was clear that the scope is more general, also involving
the Ergodicity Hypothesis in Statistical Mechanics and many other things.
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.
The aims of the workshop are:
i) to bring together a large number of international experts in this broad field, both pure and
applied, and to promote collaboration between the various subfields
ii) in particular we also like to stimulate young researchers to participate by offering them
opportunity to present a poster.
iii) to publish a number of valuable papers by participants of the workshop in a special volume
of the journal "Discrete and Continuous Dynamical Systems - Series S"