Format:
Online-Ressource (X, 211p, digital)
ISBN:
9783642030284
Series Statement:
Springer Monographs in Mathematics
Content:
Hamiltonian Equations -- 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.
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. 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.
Additional Edition:
ISBN 9783642030277
Additional Edition:
Buchausg. u.d.T. 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)
