Introduction to the Perturbation Theory of Hamiltonian Systems

• Κύριοι συγγραφείς: Treschev, Dmitry (Συγγραφέας), Zubelevich, Oleg (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.