Experimental study of chaos in a driven pendulum
type: Item
instance of: scholarly article
title: Experimental study of chaos in a driven pendulum
zbMATH Open document ID: 0613.58023
DOI: 10.1016/0167-2789(87)90238-7
author: James A. Blackburn
author: Zhou-jing Yang
author: S. Vik
author: H. J. T. Smith
author: M. A. H. Nerenberg
published in: Physica D
publication date: 1987-01-01T00:00:00Z
review text: Experimental results are reported for a driven, damped pendulum in which steady and/or alternating torques were applied by means of a modified brushless, slotless linear motor. The pendulum coordinate was measured with an angular resolver which, in combination with an integrated circuit resolver-to-digital converter, produced readings with fourteen-bit precision. Hysteresis and ac induced steps are observed, as expected, in the torque-velocity characteristics for the pendulum. Poincaré sections, power spectra and a state diagram confirm the existence of separate regions of periodic and chaotic behaviour. This system is of particular interest because it can also serve as a mechanical analog of a current biased Josephson junction.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 65C99
zbMATH DE Number: 3992489
zbMATH Keywords: driven, damped pendulum
zbMATH Keywords: Hysteresis
zbMATH Keywords: Poincaré sections
zbMATH Keywords: power spectra
zbMATH Keywords: state diagram
MaRDI profile type: Publication
full work available at URL: 0167-2789(87)90238-7
OpenAlex ID: W1968504140
cites work: Experiments on periodic and chaotic motions of a parametrically forced pendulum
cites work: Q5330286
cites work: Mechanical analog studies of a perturbed sine-Gordon equation
cites work: A mechanical analog for the double sine-Gordon equation
description: scientific article; zbMATH DE number 3992489