Lorentz Center - KAM Theory and its applications from 1 Dec 2008 through 5 Dec 2008
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    KAM Theory and its applications
    from 1 Dec 2008 through 5 Dec 2008

 
Kolmogorov-Arnold-Moser Theory of is a major part of Dynamical Systems Theory, dealing with the typical occurrence of quasi-periodicity in dynamical systems
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"
 
 
 


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