ENGLISH

Dynamical Systems and Small Divisors: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 13-20, 1998

By Hakan Eliasson , Sergei Kuksin , Stefano Marmi , Jean-Christophe Yoccoz (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2002
ISBN
978-3-540-43726-0, 978-3-540-47928-4, 3-540-43726-6
DOI
10.1007/b83847
Language
english
Format
PDF
Filesize
6 MB (6709120 bytes)
Series
Lecture Notes in Mathematics 1784 C.I.M.E. Foundation Subseries
Edition
1
Pages
202\207
Time added
2014-01-18 08:00:00
Dynamical Systems and Ergodic Theory; Operator The

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.

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