Analysing the chaotic motion of a driven pendulum
type: Item
instance of: scholarly article
title: Analysing the chaotic motion of a driven pendulum
zbMATH Open document ID: 0778.58044
DOI: 10.1016/0960-0779(92)90039-P
author: H. Heng
author: W. Martienssen
published in: Chaos, Solitons and Fractals
publication date: 1993-05-16T00:00:00Z
review text: The authors analyse the chaotic motion of a periodically driven damped pendulum. Time series of the angular velocity are sampled and investigated numerically. Parameters of the driving force and the damping are reconstructed from the velocity by numerically adapting the equation of motion. The delay time required to embed the attractor in a space of delay coordinates is derived from an extension of the so-called ``wavering product''. Dynamical and statical properties of the attractor are determined and predictions of chaotic motions are made by a local method. An estimation of the prediction error is inverted to obtain attractor dimension and -entropy.
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 166393
zbMATH Keywords: pendulum
zbMATH Keywords: chaotic motions
zbMATH Keywords: attractor
reviewed by: József Szilasi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 166393