Kolmogorov theorem and classical perturbation theory (Q1369819)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Kolmogorov theorem and classical perturbation theory |
scientific article; zbMATH DE number 1077135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kolmogorov theorem and classical perturbation theory |
scientific article; zbMATH DE number 1077135 |
Statements
Kolmogorov theorem and classical perturbation theory (English)
0 references
25 November 1997
0 references
The authors suggest a new proof of the Kolmogorov-Arnold-Moser theorem which avoids using super fast converging iterations in dealing with small denominators. Instead they consider expansions obtained via the classical perturbation theory and show that the construction of the Kolmogorov normal form can be implemented in such a way that the corresponding series in small parameter will converge.
0 references
KAM theorem
0 references
perturbations
0 references
quasiperiodic motion
0 references
