Dynamical Systems and Small Divisors
Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998 (Lecture Notes in Mathematics / Fondazione C.I.M.E., Firenze)
Contributors: Stefano Marmi (Editor); Jean-Christophe Yoccoz (Editor)
Edition: 1 edition
Publisher: Springer
Published: August 15, 2002
Language: eng
Format: Paperback
Number of pages: 198
ISBN-13: 9783540437260
Subjects: Differential Equations; Science/Mathematics; Functional Analysis; Stability; Differentiable Dynamical Systems; Integral Calculus; Mathematics; Medical / Nursing; General; Mathematical Analysis; Dynamical systems; Mathematics / Differential Equations; Quasiperiodic; orbits and flows; Small divisors; Calculus; Hamiltonian systems
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.