Dynamical systems and small divisors : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 13-20, 1998
Author(s)
Bibliographic Information
Dynamical systems and small divisors : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 13-20, 1998
(Lecture notes in mathematics, 1784 . Fondazione C.I.M.E.)
Springer, c2002
Available at 70 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Other authors: S.B. Kuksin, S. Marmi, J.-C. Yoccoz
Includes bibliographical references
Description and Table of Contents
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.
Table of Contents
Perturbations of linear quasi-periodic system.- KAM-persistence of finite-gap solutions.- Analytic linearization of circle diffeomorphisms.- Some open problems related to small divisors.
by "Nielsen BookData"