Energy method for approximate periodic solution of strongly nonlinear nonautonomous systems
type: Item
instance of: scholarly article
title: Energy method for approximate periodic solution of strongly nonlinear nonautonomous systems
zbMATH Open document ID: 0999.34040
DOI: 10.1023/A:1008391228618
author: Li Li
published in: Nonlinear Dynamics
publication date: 2002-11-26T00:00:00Z
review text: The author develops an energy method to obtain necessary and sufficient conditions for the existence and stability of periodic solutions to equations of the form \[ x''+f(x,x',\Omega t)+g(x)=0, \] where \(f\) is periodic with respect to \(t\). The method allows one to get approximate expressions of the solutions. The results are illustrated by numerical experiments.
reviewed by: Gabriella Caristi
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 70K42
zbMATH DE Number: 1396393
zbMATH Keywords: periodic solutions
zbMATH Keywords: asymptotic stability
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1396393