Analytical determination for degenerate grazing bifurcation points in the single-degree-of-freedom impact oscillator
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Publication:1749865
DOI10.1007/s11071-017-3674-zzbMath1390.34110OpenAlexW2740543980MaRDI QIDQ1749865
Shan Yin, Huidong Xu, Gui-Lin Wen, Yong-Kang Shen
Publication date: 17 May 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3674-z
saddle-node bifurcationperiod-doubling bifurcation\(1/n\) impact periodic motionsdegenerate grazing bifurcation
Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10)
Related Items (6)
Two-parameter bifurcations of an impact system under different damping conditions ⋮ Control of near-grazing dynamics in the two-degree-of-freedom vibroimpact system with symmetrical constraints ⋮ Complicated periodic cascades arising from double grazing bifurcations in an impact oscillator with two rigid constraints ⋮ Discontinuity-induced bifurcations in a piecewise-smooth capsule system with bidirectional drifts ⋮ Degenerate grazing bifurcations in a three-degree-of-freedom impact oscillator ⋮ Suppression of grazing-induced instability in single degree-of-freedom impact oscillators
Cites Work
- Theoretical analysis of co-dimension-two grazing bifurcations in \(n\)-degree-of-freedom impact oscillator with symmetrical constrains
- Vanishing singularity in hard impacting systems
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- Chaos and period-adding; experimental and numerical verification of the grazing bifurcation
- Local analysis of co-dimension-one and co-dimension-two grazing bifurcations in impact micro\-actuators
- Universal behavior of impact oscillators near grazing incidence
- Piecewise-smooth dynamical systems. Theory and applications
- Analysis of a two-dimensional nonsmooth Poincaré-like map
- Mappings of grazing-impact oscillators
- Dynamics of an impact oscillator near a degenerate graze
- Analytical determination of bifurcations in an impact oscillator
- Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators
- Discontinuity geometry for an impact oscillator
- Unfolding degenerate grazing dynamics in impact actuators
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