Dynamical Systems and Small Divisors: Lectures given at the C.I.M.E. Summer School held in ….
By addebook • Jul 14th, 2008 • Category: Mathematics •
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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 / Fondazione C.I.M.E., Firenze)
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 / Fondazione C.I.M.E., Firenze)
By Hakan Eliasson, Sergei Kuksin
Publisher: Springer
Number Of Pages: 198
Publication Date: 2002-08-15
ISBN-10 / ASIN: 3540437266
ISBN-13 / EAN: 9783540437260
Binding: Paperback
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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