Chaos in the beam equation
type: Item
instance of: scholarly article
title: Chaos in the beam equation
zbMATH Open document ID: 1082.35019
author: F. Battelli
author: Michal Fečkan
published in: Journal of Differential Equations
publication date: 2005-02-22T00:00:00Z
review text: The authors prove existence of infinitely many periodic as well as aperiodic bounded solutions to a slowly periodically perturbed damped beam equation. Assuming that the reduced four dimensional ordinary differential equation has a homoclinic orbit the authors prove that its chaotic dynamics (Smale's horseshoe) can be embedded into the dynamics of the original damped beam equation.
reviewed by: Daniel Ševčovič
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 2136643
zbMATH Keywords: weak nonlinearities
zbMATH Keywords: periodically perturbed damped beam equation
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: Smale's horseshoe
MaRDI profile type: Publication
full work available at URL: j.jde.2004.08.010
OpenAlex ID: W1984889312
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DOI: 10.1016/J.JDE.2004.08.010
description: scientific article; zbMATH DE number 2136643