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Item Details
Title: DYNAMICAL SYSTEMS AND SMALL DIVISORS
LECTURES GIVEN AT THE C.I.M.E. SUMMER SCHOOL HELD IN CETRARO ITALY, JUNE 13-20 1998
By: Hakan Eliasson, Sergei B. Kuksin, S. Marmi
Format: Paperback

List price: £40.99


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ISBN 10: 3540437266
ISBN 13: 9783540437260
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 1 June, 2002
Edition: 2002 ed.
Series: Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries v. 1784
Pages: 202
Description: Many problems of stability in the theory of dynamical systems face the difficulty of small divisors. This text illustrates 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) is included.
Synopsis: 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.
Illustrations: biography
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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