Chaos in a magnetic pendulum subjected to tilted excitation and parametric damping
type: Item
instance of: scholarly article
title: Chaos in a magnetic pendulum subjected to tilted excitation and parametric damping
zbMATH Open document ID: 1264.70052
DOI: 10.1155/2012/546364
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: The effect of tilted harmonic excitation and parametric damping on the chaotic dynamics in an asymmetric magnetic pendulum is investigated in this paper. The Melnikov method is used to derive a criterion for transition to nonperiodic motion in terms of the Gauss hypergeometric function. The regular and fractal shapes of the basin of attraction are used to validate the Melnikov predictions. In the absence of parametric damping, the results show that an increase of the tilt angle of the excitation causes the lower bound for chaotic domain to increase and produces a singularity at the vertical position of the excitation. It is also shown that the presence of parametric damping without a periodic fluctuation can enhance or suppress chaos while a parametric damping with a periodic fluctuation can increase the region of regular motions significantly.
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 6173376
Wikidata QID: Q58912072
author: C. A. Kitio Kwuimy
author: C. Nataraj
author: Mohamed Belhaq
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/546364
OpenAlex ID: W2083832952
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description: scientific article; zbMATH DE number 6173376