Experimental versus theoretical robustness of rotating solutions in a parametrically excited pendulum: a dynamical integrity perspective
type: Item
instance of: scholarly article
title: Experimental versus theoretical robustness of rotating solutions in a parametrically excited pendulum: a dynamical integrity perspective
zbMATH Open document ID: 1218.37116
author: S. Lenci
author: G. Rega
published in: Physica D
publication date: 2011-05-04T00:00:00Z
review text: From an operative point of view the dynamical integrity of a dynamical system consists in studying the properties of the safe basin (to be properly defined and measured) and their evolution with a varying driving parameter. In this paper the safe basin is the basin of attraction of the clockwise rotating solution of a pendulum and the considered measure of integrity is the integrity factor, which is the normalized radius of the largest circle entirely belonging to the safe basin, and which has been shown to be appropriate for rotations. A main part of this work is Section 5, where the dynamical integrity of the parametric pendulum is discussed in detail and used to justify the experimental observations.
Mathematics Subject Classification ID: 37N05
Mathematics Subject Classification ID: 70E17
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 5883949
zbMATH Keywords: parametric pendulum
zbMATH Keywords: rotating solutions
zbMATH Keywords: experiments versus theory
zbMATH Keywords: robustness
zbMATH Keywords: dynamical integrity
zbMATH Keywords: practical stability
reviewed by: Mircea Crasmareanu
MaRDI profile type: Publication
full work available at URL: j.physd.2010.12.014
OpenAlex ID: W1990169039
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DOI: 10.1016/J.PHYSD.2010.12.014
description: scientific article; zbMATH DE number 5883949