Experimental evidence of non-standard bifurcations in non-smooth oscillator dynamics

DOI10.1007/S11071-006-9041-0zbMath1170.70301OpenAlexW2120570002MaRDI QIDQ840241

Paolo Casini, O. Giannini, Fabrizio Vestroni

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9041-0

zbMATH Keywords

discontinuitiesexperimental measurementsfrictional contactsnon-standard bifurcationsstick-slip oscillations

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of particles and systems (70-05) Bifurcations and instability for nonlinear problems in mechanics (70K50) Problems involving a system of particles with friction (70F40)

Related Items (6)

Topological classification of limit cycles of piecewise smooth dynamical systems and its associated non-standard bifurcations ⋮ DYNAMICS OF A DAMPING OSCILLATOR WITH IMPACT AND IMPULSIVE EXCITATION ⋮ Stochastically perturbed sliding motion in piecewise-smooth systems ⋮ Invariant polygons in systems with grazing-sliding ⋮ Bifurcation phenomena and statistical regularities in dynamics of forced impacting oscillator ⋮ Grazing-Sliding Bifurcations Creating Infinitely Many Attractors

Cites Work

• Unnamed Item
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• Stick-slip vibrations induced by alternate friction models
• Sliding modes in control and optimization. Transl. from the Russian
• Dynamics of a simple damped oscillator undergoing stick-slip vibrations
• Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts
• Nonstandard bifurcations in oscillators with multiple discontinuity boundaries
• Bifurcation and stability analysis for a non-smooth friction oscillator
• On the dynamic response of a system with dry friction
• MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS
• BIFURCATIONS IN HYBRID MECHANICAL SYSTEMS WITH DISCONTINUITY BOUNDARIES
• An example of a non-smooth fold bifurcation

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