Analytical determination of bifurcations of periodic solution in three-degree-of-freedom vibro-impact systems with clearance

DOI10.1016/J.CHAOS.2017.04.002zbMath1373.70020OpenAlexW2606371406MaRDI QIDQ1674324

Qiang Wang, Yongbao Liu, Huidong Xu

Publication date: 2 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.04.002

zbMATH Keywords

vibro-impact systemgrazing bifurcationcodimension-one smooth bifurcationcodimension-two smooth bifurcationexplicit critical criteria

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (1)

Two-parameter bifurcations of an impact system under different damping conditions

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
• 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
• Bifurcations and chaos in a system with impacts
• Corner collision implies border-collision bifurcation

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