Lagrangian stability of a nonlinear quasi-periodic system
type: Item
instance of: scholarly article
title: Lagrangian stability of a nonlinear quasi-periodic system
zbMATH Open document ID: 1058.34071
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-06T00:00:00Z
review text: The authors consider the existence of quasi-periodic solutions and the Lagrangian stability of the following quasi-periodic system \[ \frac {d^2x}{dt^2}+ G_x(x,t)= 0, \tag{1} \] where \(G(x,t)\) is quasi-periodic in \(x\) and \(t\) with basic frequencies \(\omega_1,\dots, \omega_m\) and \(\omega_{m+1},\dots, \omega_{m+n}\), respectively. The authors prove the Lagrangian stability of (1) by using KAM iterations.
Mathematics Subject Classification ID: 34D99
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 70H14
zbMATH DE Number: 2082142
zbMATH Keywords: Lagrangian stability
zbMATH Keywords: quasi-periodic solution
zbMATH Keywords: KAM iteration
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.01.003
OpenAlex ID: W2012993324
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DOI: 10.1016/J.JMAA.2004.01.003
description: scientific article; zbMATH DE number 2082142