Introduction to the Perturbation Theory of Hamiltonian Systems

• Main Authors: Treschev, Dmitry (Author), Zubelevich, Oleg (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Topology.; Mechanics.; Dynamical Systems and Ergodic Theory.; Analysis.

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 theor...

Table of Contents:

• 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.