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)
1 edition
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Author
Contributions
- Stefano Marmi (Editor) - Contributor
- Jean-Christophe Yoccoz (Editor) - Contributor
Publication
2002-08-15 - Springer
Language
English
Word Count
49,500 words, Guess
Page Count
198 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9057778M
- ISBN-139783540437260
- ISBN-103540437266
- OCLC Control Number50064820
- Library of Congress Control Number2002075755
and 1 more
- Goodreads5379252
Classifications
- LCCQA313QA329-329.9QA37
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.
Subjects
Topics
Other Editions
- 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)
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