Stability diagrams of the periodic motions of a pendulum with an oscillating axis
type: Item
instance of: scholarly article
title: Stability diagrams of the periodic motions of a pendulum with an oscillating axis
zbMATH Open document ID: 0691.70008
DOI: 10.1016/0021-8928(88)90057-3
author: Z. S. Batalova
author: G. V. Belyakova
published in: Journal of Applied Mathematics and Mechanics
publication date: 1988-01-01T00:00:00Z
review text: The present paper deals with periodic rotations of a parametrically excited nonlinear oscillator, without taking the dissipation into account. The Cesari method is used to obtain the generating solutions, a number of periodic rotations of a single type are established and their stability is studied in the case when the values of two parameters are small. A number of solutions of practical interest are continued numerically into the domain of large values of the parameters. The bifurcation diagrams of periodic solutions are constructed, containing domains of their stability (to a first approximation) and the bifurcations of the appearance and change in the stability of these solutions are clarified.
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 4131725
zbMATH Keywords: parametrically excited nonlinear oscillator
zbMATH Keywords: periodic solutions
zbMATH Keywords: stability
zbMATH Keywords: bifurcations
MaRDI profile type: Publication
full work available at URL: 0021-8928(88)90057-3
OpenAlex ID: W2030783241
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description: scientific article; zbMATH DE number 4131725