Subharmonic bifurcations in a pendulum parametrically excited by a non-harmonic perturbation
type: Item
instance of: scholarly article
title: Subharmonic bifurcations in a pendulum parametrically excited by a non-harmonic perturbation
zbMATH Open document ID: 0990.70017
DOI: 10.1016/S0960-0779(97)00181-1
author: Miguel A. F. Sanjuán
published in: Chaos, Solitons and Fractals
publication date: 2002-08-05T00:00:00Z
review text: The author investigates subharmonic motions, either oscillations or rotations, of a pendulum whose support is subjected to a vertical non-harmonic periodic oscillation. The author evaluates the subharmonic Melnikov functions for oscillating and rotating motions of the pendulum perturbed by an elliptic function, and studies the existing connections with homoclinic bifurcations. Such bifurcations were previously analyzed in the author's work [Int. J. Theor. Phys. 35, No. 8, 1745-1752 (1996; Zbl 0858.34040)].
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 70K44
zbMATH DE Number: 1370435
zbMATH Keywords: rotating motion
zbMATH Keywords: pendulum
zbMATH Keywords: non-harmonic periodic oscillation
zbMATH Keywords: subharmonic Melnikov functions
zbMATH Keywords: elliptic function
zbMATH Keywords: homoclinic bifurcations
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1370435