Bifurcations of the horizontally forced spherical pendulum
type: Item
instance of: scholarly article
title: Bifurcations of the horizontally forced spherical pendulum
zbMATH Open document ID: 0948.70018
DOI: 10.1016/S0045-7825(98)00202-3
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-11-19T00:00:00Z
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 70K40
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 1399943
zbMATH Keywords: horizontally forced damped spherical pendulum
zbMATH Keywords: stability to non-planar perturbations
zbMATH Keywords: small amplitude periodic solutions
zbMATH Keywords: running oscillations
zbMATH Keywords: chaotic solutions
zbMATH Keywords: symmetries
zbMATH Keywords: bifurcation diagrams
zbMATH Keywords: normal Lyapunov exponent
author: Philip J. Aston
MaRDI profile type: Publication
cites work: From attractor to chaotic saddle: a tale of transverse instability
cites work: Breakdown to chaotic motion of a forced, damped, spherical pendulum
cites work: On a periodically forced, weakly damped pendulum. Part 2: Horizontal forcing
cites work: Stability theory of synchronized motion in coupled-oscillator systems.
cites work: Stability of forced oscillations of a spherical pendulum
cites work: Resonant motion of a spherical pendulum
cites work: Resonantly forced surface waves in a circular cylinder
cites work: Synchronization in chaotic systems
full work available at URL: s0045-7825(98)00202-3
OpenAlex ID: W2037320031
description: scientific article; zbMATH DE number 1399943