Bifurcation and stability properties of periodic solutions to two nonlinear spring-mass systems
type: Item
instance of: scholarly article
title: Bifurcation and stability properties of periodic solutions to two nonlinear spring-mass systems
zbMATH Open document ID: 1086.34035
author: N. Ben-Gal
author: Kristen S. Moore
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2005-06-13T00:00:00Z
review text: The nature of periodic solutions to two nonlinear spring-mass equations is studied. The nonlinear terms are similar to earlier models of motion in suspension bridges. Many of the qualitative properties are the same for the two models, the nature of the secondary bifurcations (e.g. period-doubling) differs significantly. The results on existence, uniqueness, multiplicity, bifurcation and stability of periodic solutions are consistent with the nonlinear behavior of some suspension bridges.
reviewed by: Vasile Marinca
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 2175671
zbMATH Keywords: suspension bridge
zbMATH Keywords: continuation
zbMATH Keywords: bifurcation
zbMATH Keywords: periodic solutions
zbMATH Keywords: nonlinear spring-mass
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: j.na.2005.01.091
OpenAlex ID: W2087877523
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DOI: 10.1016/J.NA.2005.01.091
description: scientific article; zbMATH DE number 2175671