Dynamical Systems and Small Divisors

Download or read book Dynamical Systems and Small Divisors written by Hakan Eliasson and published by Springer. This book was released on 2004-10-11 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.