Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishIn 2004 J. Féjoz [Démonstration du ‘théorème d’Arnold’ sur la stabilité du système planétaire (d’après M. Herman). Ergod. Th. & Dynam. Sys, 24(5):1521-1582, 2004], completing investigations of M. Herman’s [Démonstration d’un théorème de V.I. Arnold. Séminaire de Systèmes Dynamiques et manuscripts, Université D. Diderot, Paris 7, 1998], gave a complete proof of “Arnold’s Theorem” [V.I. Arnol’d. Small Denominators and Problems of Stability of Motion in Classical and Celestial Mechanics. Usephi Mat. Nauk, 18(6 (114)):91-192, 1963] on the planetary many–body problem, establishing, in particular, the existence of a positive measure set of smooth (C1) Lagrangian invariant tori for the planetary many–body problem. Here, using Rüßmann’s 2001 KAM theory [H. Rüßmann. Invariant Tori in Non-Degenerate Nearly Integrable Hamiltonian Systems. R. & C. Dynamics, 2(6):119-203, 2001], we prove the above result in the real–analytic class.
| Titolo: | Analytic Lagrangian tori for the planetary manybody problem |
| Autori: | |
| Data di pubblicazione: | 2009 |
| Rivista: | |
| Abstract: | In 2004 J. Féjoz [Démonstration du ‘théorème d’Arnold’ sur la stabilité du système planétaire (d’après M. Herman). Ergod. Th. & Dynam. Sys, 24(5):1521-1582, 2004], completing investigations of M. Herman’s [Démonstration d’un théorème de V.I. Arnold. Séminaire de Systèmes Dynamiques et manuscripts, Université D. Diderot, Paris 7, 1998], gave a complete proof of “Arnold’s Theorem” [V.I. Arnol’d. Small Denominators and Problems of Stability of Motion in Classical and Celestial Mechanics. Usephi Mat. Nauk, 18(6 (114)):91-192, 1963] on the planetary many–body problem, establishing, in particular, the existence of a positive measure set of smooth (C1) Lagrangian invariant tori for the planetary many–body problem. Here, using Rüßmann’s 2001 KAM theory [H. Rüßmann. Invariant Tori in Non-Degenerate Nearly Integrable Hamiltonian Systems. R. & C. Dynamics, 2(6):119-203, 2001], we prove the above result in the real–analytic class. |
| Handle: | http://hdl.handle.net/11590/159187 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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