Theoretical analysis of co-dimension-two grazing bifurcations in \(n\)-degree-of-freedom impact oscillator with symmetrical constrains
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Publication:330910
DOI10.1007/s11071-015-2266-zzbMath1348.74267OpenAlexW948735259MaRDI QIDQ330910
Pu Chen, Jieqiong Xu, Qunhong Li
Publication date: 26 October 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2266-z
impact oscillatorco-dimension-two bifurcationdiscontinuity-mapping approachgrazing bifurcationsymmetrical constraints
Impact in solid mechanics (74M20) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
Related Items (4)
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 ⋮ Analytical determination for degenerate grazing bifurcation points in the single-degree-of-freedom impact oscillator
Uses Software
Cites Work
- Discontinuity-induced bifurcations in systems with impacts and friction: discontinuities in the impact law
- Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces
- Piecewise-smooth dynamical systems. Theory and applications
- Nonlinear dynamics of an electrically driven impact microactuator
- Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
- TC-HAT ($\widehat{TC}$): A Novel Toolbox for the Continuation of Periodic Trajectories in Hybrid Dynamical Systems
- Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
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