Introduction to the Perturbation Theory of Hamiltonian Systems
Treschev, Dmitry.
Introduction to the Perturbation Theory of Hamiltonian Systems [recurso electrónico] / 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
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 [recurso electrónico] / 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
Mathematics.
Global analysis (Mathematics).
Differentiable dynamical systems.
Topology.
Mechanics.
Mathematics.
Dynamical Systems and Ergodic Theory.
Analysis.
Topology.
Mechanics.
QA313
515.39 515.48
