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) - Lectures Given at the Cime Summer School, Held in Cetraro, Italy, June 13-20, 1998 - Hakan Eliasson, Sergei Kuksin, R. J. Stimson, Eliasson, L. H, Marmi, S, Yoccoz, Jean-Christophe (2002)
ISBN 3540437266
Subject Hamiltonian systems; Small divisors; Stability
Publisher Springer
Publication Date 8/15/2002
Format Paperback (236 x 155 mm)
Language e
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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Collection Status In Collection
Index 367
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Product Details
LoC Classification QA3 .L28 no. 1784
Dewey 514/.74
Cover Price $56.95
No. of Pages 198