Introduction to the Perturbation Theory of Hamiltonian Systems [electronic resource] / by Dmitry Treschev, Oleg Zubelevich.
Tipo de material: TextoSeries Springer Monographs in Mathematics | Springer Monographs in MathematicsEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: X, 211p. online resourceTipo de contenido:- text
- computer
- online resource
- 9783642030284
- SpringerLink (Online service)
- 515.39 23
- 515.48 23
- QA313
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 -- Hills Formula.
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.
ZDB-2-SMA
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