
Dynamical Systems and Small Divisors
Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998
Springer (Publisher)
Published on 1. June 2002
Book
Paperback/Softback
X, 202 pages
978-3-540-43726-0 (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.
More details
Series
Edition
2002 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 202 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
345 gr
ISBN-13
978-3-540-43726-0 (9783540437260)
DOI
10.1007/b83847
Schweitzer Classification
Other editions
Additional editions

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
E-Book
10/2004
Springer
€46.00
Available for download
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.