Invariant tori and boundedness in asymmetric oscillations.
type: Item
instance of: scholarly article
title: Invariant tori and boundedness in asymmetric oscillations.
zbMATH Open document ID: 1047.34036
publication date: 2003-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 37C55
Mathematics Subject Classification ID: 34C30
zbMATH DE Number: 2032511
zbMATH Keywords: invariant tori
zbMATH Keywords: KAM theory
zbMATH Keywords: asymmetric oscillation
author: Xinping Wang
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s10114-003-0249-3
OpenAlex ID: W1990630605
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DOI: 10.1007/S10114-003-0249-3
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 2032511