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Dynamical Systems and Small Divisors

Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998

Paperback Engels 2002 2002e druk 9783540437260
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Samenvatting

Many problems of stability in the theory of dynamical systems face the difficulty of small divisors. The most famous example is probably given by Kolmogorov-Arnold-Moser theory in the context of Hamiltonian systems, with many applications to physics and astronomy. Other natural small divisor problems arise considering circle diffeomorphisms or quasiperiodic Schroedinger operators. In this volume Hakan Eliasson, Sergei Kuksin and Jean-Christophe Yoccoz illustrate the most recent developments of this theory both in finite and infinite dimension. A list of open problems (including some problems contributed by John Mather and Michel Herman) has been included.

Specificaties

ISBN13:9783540437260
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:202
Uitgever:Springer Berlin Heidelberg
Druk:2002

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          Dynamical Systems and Small Divisors