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 Kuksin, Stefano Marmi, Jean-Christophe Yoccoz ; edited by Stefano Marmi, Jean-Christophe Yoccoz
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| Autore: |
Eliasson Hakan
|
| Titolo: |
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 Kuksin, Stefano Marmi, Jean-Christophe Yoccoz ; edited by Stefano Marmi, Jean-Christophe Yoccoz
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
| Edizione: | 1st ed. 2002. |
| Descrizione fisica: | 1 online resource (X, 202 p.) |
| Disciplina: | 510 s |
| 514/.74 | |
| Soggetto topico: | Dynamics |
| Operator theory | |
| Differential equations | |
| Dynamical Systems | |
| Operator Theory | |
| Differential Equations | |
| Persona (resp. second.): | KuksinSergei |
| MarmiStefano | |
| YoccozJean-Christophe | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | Perturbations of linear quasi-periodic system -- KAM-persistence of finite-gap solutions -- Analytic linearization of circle diffeomorphisms -- Some open problems related to small divisors. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Dynamical systems and small divisors |
| ISBN: | 3-540-47928-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910144942403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
C.I.M.E. Foundation Subseries, . 2946-1820 ; ; 1784