Bifurcation analysis of a double pendulum with internal resonance
type: Item
instance of: scholarly article
title: Bifurcation analysis of a double pendulum with internal resonance
zbMATH Open document ID: 0963.70015
DOI: 10.1007/BF02459003
author: Qinsheng Bi
author: Yushu Chen
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2000-08-14T00:00:00Z
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 70K30
Mathematics Subject Classification ID: 70K55
Mathematics Subject Classification ID: 70K45
zbMATH DE Number: 1490814
zbMATH Keywords: normal form theory
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: transition boundary
zbMATH Keywords: autonomous double pendulum
zbMATH Keywords: \(1:1\) internal resonance
zbMATH Keywords: critical point
zbMATH Keywords: numerical method
zbMATH Keywords: route to chaos
zbMATH Keywords: non-autonomous system
MaRDI profile type: Publication
cites work: Q3743651
cites work: A perturbation analysis of interactive static and dynamic bifurcations
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Static and dynamic bifurcations associated with a double-zero eigenvalue
cites work: Steady state motions of shallow arch under periodic force with \(1:2\) internal resonance on the plane of physical parameters
cites work: Non-linear bifurcation analysis of non-gradient systems
cites work: On bifurcation into nonresonant quasi-periodic motions
cites work: Coupled flutter and divergence bifurcation of a double pendulum
cites work: ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A DOUBLE PENDULUM
cites work: Symbolic computation of normal forms for semi-simple cases
full work available at URL: https://doi.org/10.1007/bf02459003
OpenAlex ID: W2037701479
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description: scientific article; zbMATH DE number 1490814