Dynamical Systems and Small Divisors Cetraro, Italy 1998 |
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| Author:
| Eliasson, L. H.
Kuksin, S.
Yoccoz, J. -C. |
| Editor:
| Marmi, S.
Yoccoz, J. -C. |
| Series title: | Lecture Notes in Mathematics Ser. |
| ISBN: | 978-3-540-43726-0 |
| Publication Date: | Jan 2002 |
| Publisher: | Springer
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| Book Format: | Paperback |
| List Price: | AUD $101.95 |
Book Description:
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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...
More DescriptionMany 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.