Bifurcations of periodic motion in a three-degree-of-freedom vibro-impact system with clearance

DOI10.1016/j.cnsns.2016.12.018OpenAlexW2560127293MaRDI QIDQ2005422

Huidong Xu, Qiang Wang, Yongbao Liu

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.12.018

zbMATH Keywords

vibro-impact systemgrazing bifurcationexplicit critical criteriaco-dimension-one and co-dimension-two smooth bifurcations

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Related Items (5)

Nonlinear dynamic analysis and experimental study of multi-link press with dry friction clearances of revolute joints ⋮ Bifurcation analysis of dynamic pricing processes with nonlinear external reference effects ⋮ Analytical and experimental investigations of a space antenna system of four DOFs with internal resonances ⋮ Correlation dimension and bifurcation analysis for the planar slider-crank mechanism with multiple clearance joints ⋮ Degenerate grazing bifurcations in a three-degree-of-freedom impact oscillator

Cites Work

• New bifurcation critical criterion of flip-Neimark-Sacker bifurcations for two-parameterized family of \(n\)-dimensional discrete systems
• Bifurcations of dynamical systems with sliding: derivation of normal-form mappings
• Impact Oscillations: Linear Theory Of Stability And Bifurcations
• A Periodically Forced Impact Oscillator With Large Dissipation
• Remarks on interacting Neimark–Sacker bifurcations
• On the stability of the<tex>A</tex>matrix inside the unit circle
• Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators
• On normal form calculations in impact oscillators
• ON THE DISTRIBUTION OF THE ZEROS OF A POLYNOMIAL
• Elements of applied bifurcation theory
• Bifurcations and chaos in a system with impacts
• Corner collision implies border-collision bifurcation

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