Dynamical systems and small divisors : lectures given at the C.I.M.E. Summer School, held in Cetraro, Italy, June 13-20, 1998 /
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 problem...
| Corporate Authors: | , |
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| Other Authors: | , , |
| Format: | Conference Proceeding eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2002]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1784. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 198 pages) |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9783540479284 (electronic bk.) 3540479287 (electronic bk.) |
| ISSN: | 0075-8434 ; |