Format:
Online-Ressource
,
v.: digital
Edition:
Online-Ausg. 2010 Springer eBook Collection. Mathematics and Statistics
ISBN:
9783642030277
Series Statement:
Springer Monographs in Mathematics
Content:
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.
Content:
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
Note:
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;
Additional Edition:
ISBN 9783642030284
Additional Edition:
ISBN 9783642030277
Additional Edition:
Erscheint auch als Druck-Ausgabe Treschev, Dmitry Introduction to the perturbation theory of Hamiltonian systems Berlin : Springer, 2010 ISBN 9783642030277
Language:
English
Subjects:
Mathematics
Keywords:
Hamiltonsches System
;
Störungstheorie
DOI:
10.1007/978-3-642-03028-4
URL:
Volltext
(lizenzpflichtig)
