Introduction to the perturbation theory of Hamiltonian systems
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...
| Main Author: | Treschev, Dmitry. |
|---|---|
| Other Authors: | Zubelevich, Oleg., SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Heidelberg ; New York :
Springer,
©2010.
Heidelberg ; New York : [2010] |
| Physical Description: |
1 online resource (x, 211 pages) : illustrations. |
| Series: |
Springer monographs in mathematics.
|
| Subjects: |
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.