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Comparisons between the pendulum with varying length and the pendulum with oscillating support

Wright, JA, Bartuccelli, Michele and Gentile, G (2017) Comparisons between the pendulum with varying length and the pendulum with oscillating support Journal of Mathematical Analysis and Applications, 449. pp. 1684-1707.

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Abstract

We consider two forced dissipative pendulum systems, the pendulum with vertically oscillating support and the pendulum with periodically varying length, with a view to draw comparisons between their behaviour. We study the two systems for values of the parameters for which the dynamics are non-chaotic. We focus our investigation on the persisting attractive periodic orbits and their basins of attraction, utilising both analytical and numerical techniques. Although in some respect the two systems have similar behaviour, we find that even within the perturbation regime they may exhibit different dynamics. In particular, for the same value of the amplitude of the forcing, the pendulum with varying length turns out to be perturbed to a greater extent. Furthermore the periodic attractors persist under larger values of the damping coefficient in the pendulum with varying length. Finally, unlike the pendulum with oscillating support, the pendulum with varying length cannot be stabilised around the upward position for any values of the parameters.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Wright, JAUNSPECIFIEDUNSPECIFIED
Bartuccelli, MicheleM.Bartuccelli@surrey.ac.ukUNSPECIFIED
Gentile, GUNSPECIFIEDUNSPECIFIED
Date : 5 January 2017
Identification Number : 10.1016/j.jmaa.2016.12.076
Copyright Disclaimer : © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Depositing User : Symplectic Elements
Date Deposited : 18 Jan 2017 17:34
Last Modified : 19 Jul 2017 08:28
URI: http://epubs.surrey.ac.uk/id/eprint/813331

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