Symmetry, cusp bifurcation and chaos of an impact oscillator between two rigid sides
type: Item
instance of: scholarly article
title: Symmetry, cusp bifurcation and chaos of an impact oscillator between two rigid sides
zbMATH Open document ID: 1231.70025
author: Yuan Yue
author: Jianhua Xie
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2008-09-01T00:00:00Z
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 70K55
zbMATH DE Number: 5318272
zbMATH Keywords: periodic motion
zbMATH Keywords: poincaré map
zbMATH Keywords: symmetry
zbMATH Keywords: pitchfork bifurcation
zbMATH Keywords: chaotic attractor
zbMATH Keywords: cusp
MaRDI profile type: Publication
full work available at URL: s10483-007-0813-z
OpenAlex ID: W2011576612
cites work: On the symmetry of solutions in non-smooth dynamical systems with two constraints
cites work: Chaotic motion of a horizontal impact pair
cites work: Controlling chaotic orbits in mechanical systems with impacts
cites work: Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator
cites work: Period-doubling bifurcations and routes to chaos of the vibratory systems contacting stops
cites work: Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts
cites work: Interaction of Hopf and period doubling bifurcations of a vibro-impact system
cites work: Hopf-Hopf bifurcation and invariant torus \(T^{2}\) of a vibro-impact system
cites work: The effect of frequency and clearance variations on single-degree-of-freedom impact oscillators
DOI: 10.1007/S10483-007-0813-Z
description: scientific article; zbMATH DE number 5318272