Dynamical Systems and Small Divisors
Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998
Published on 11. October 2004
X, 202 pages
978-3-540-47928-4 (ISBN)
Description
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. TOC:Hakan Eliasson: Perturbations of Linear Quasi-Periodic System.- Sergei B. Kuksin: KAM-Persistence of Finite-Gap Solutions.- Jean-Christophe Yoccoz: Analytic Linearization of Circle Diffeomorphisms.- Stefano Marmi and Jean-Christophe Yoccoz: Some Open Problems Related to Small Divisors.
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Hakan Eliasson | Sergei Kuksin | Stefano Marmi
Dynamical Systems and Small Divisors
Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998
Book
06/2002
Springer
€48.10
Shipment within 7-9 days
Content
Perturbations of linear quasi-periodic system.- KAM-persistence of finite-gap solutions.- Analytic linearization of circle diffeomorphisms.- Some open problems related to small divisors.
