Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method
type: Item
instance of: scholarly article
title: Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method
zbMATH Open document ID: 1078.34509
published in: Chaos, Solitons and Fractals
publication date: 2005-04-18T00:00:00Z
review text: The author considers a modified Lindstedt-Poincaré method for the study of a Cauchy problem for a nonlinear oscillator with jumping discontinuities. The main idea of the method is the introduction of an artificial small parameter in the equation which allows asymptotic expansions of the solution and of the frequency. At least for the presented problem, the high efficiency of the method is shown.
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 2158515
zbMATH Keywords: nonlinear oscillators
zbMATH Keywords: Lindstedt-Poincaré method
author: Hongmei Liu
reviewed by: Mariano Rodríguez Ricard
MaRDI profile type: Publication
full work available at URL: j.chaos.2004.05.004
OpenAlex ID: W2024459096
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DOI: 10.1016/J.CHAOS.2004.05.004
description: scientific article; zbMATH DE number 2158515