Treschev, Dmitry.
Introduction to the Perturbation Theory of Hamiltonian Systems [electronic resource] / by Dmitry Treschev, Oleg Zubelevich. - X, 211p. online resource. - Springer Monographs in Mathematics, 1439-7382 . - Springer Monographs in Mathematics, .
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.
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.
9783642030284
10.1007/978-3-642-03028-4 doi
Mathematics.
Global analysis (Mathematics).
Differentiable dynamical systems.
Topology.
Mechanics.
Mathematics.
Dynamical Systems and Ergodic Theory.
Analysis.
Topology.
Mechanics.
QA313
515.39 515.48
Introduction to the Perturbation Theory of Hamiltonian Systems [electronic resource] / by Dmitry Treschev, Oleg Zubelevich. - X, 211p. online resource. - Springer Monographs in Mathematics, 1439-7382 . - Springer Monographs in Mathematics, .
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.
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.
9783642030284
10.1007/978-3-642-03028-4 doi
Mathematics.
Global analysis (Mathematics).
Differentiable dynamical systems.
Topology.
Mechanics.
Mathematics.
Dynamical Systems and Ergodic Theory.
Analysis.
Topology.
Mechanics.
QA313
515.39 515.48