Non-Fiction Books:

Dynamical Systems and Small Divisors

Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998
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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.
Release date Australia
June 1st, 2002
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Contributors
  • Edited by Jean-Christophe Yoccoz
  • Edited by Stefano Marmi
Illustrations
X, 202 p.
Pages
202
Dimensions
156x234x11
ISBN-13
9783540437260
Product ID
2108260

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