Introduction to the Perturbation Theory of Hamiltonian Systems

• Κύριοι συγγραφείς: Treschev, Dmitry (Συγγραφέας), Zubelevich, Oleg (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Topology.; Mechanics.; Dynamical Systems and Ergodic Theory.; Analysis.
• Φυσική περιγραφή: X, 211 p. 20 illus. online resource.
• ISBN: 9783642030284
• ISSN: 1439-7382

This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Although concise, it discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems and most results are given with complete proofs. It will be a valuable reference for Hamiltonian systems, and of special interest to researchers and graduate students of the KAM community.