Invariant tori and boundedness in asymmetric oscillations. (Q1421083)
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: Invariant tori and boundedness in asymmetric oscillations. |
scientific article; zbMATH DE number 2032511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant tori and boundedness in asymmetric oscillations. |
scientific article; zbMATH DE number 2032511 |
Statements
Invariant tori and boundedness in asymmetric oscillations. (English)
0 references
2003
0 references
This paper deals with the boundedness of all solutions of the equation \[ x''+ ax^+- bx^-+ \varphi(x)= p(t),\tag{1} \] where \(p(t)\) is a smooth periodic function, \(a\) and \(b\) are positive constants, and the perturbation \(\varphi(x)\) is bounded. The analysis for (1) is based on standard technique related to KAM theory.
0 references
invariant tori
0 references
KAM theory
0 references
asymmetric oscillation
0 references
0 references
