Umfang:
Online-Ressource
,
v.: digital
Ausgabe:
Online-Ausg. 2010 Springer eBook Collection. Mathematics and Statistics
ISBN:
9783642030277
Serie:
Springer Monographs in Mathematics
Inhalt:
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. Despite its small size, 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 of interest to researchers and graduate students of the KAM community and to scientists working in mechanics.
Inhalt:
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. Despite its small size, 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 of interest to researchers and graduate students of the KAM community and to scientists working in mechanics
Anmerkung:
Description based upon print version of record
,
Preface; Contents; Hamiltonian Equations; Introduction to the KAM Theory; Splitting of Asymptotic Manifolds; The Separatrix Map; Width of the Stochastic Layer; The Continuous Averaging Method; The Anti-Integrable Limit; Hill's Formula; Appendix; References; Index;
Weitere Ausg.:
ISBN 9783642030284
Weitere Ausg.:
ISBN 9783642030277
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Treschev, Dmitry Introduction to the perturbation theory of Hamiltonian systems Berlin : Springer, 2010 ISBN 9783642030277
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Hamiltonsches System
;
Störungstheorie
DOI:
10.1007/978-3-642-03028-4
URL:
Volltext
(lizenzpflichtig)
