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math.DS2026
Grazing bifurcations of linear impact oscillators in the zero damping limit
Olivia J. Goodman, David J. W. Simpson
We consider a harmonically forced linear impact oscillator, where impact events are instantaneous with energy loss. We study the dynamics at the grazing bifurcation of the non-impa…
math.DS2026
Resonant grazing bifurcations revisited
David J. W. Simpson, Indranil Ghosh
In vibro-impact mechanics, the division between an impact and a near miss is a zero-velocity grazing event. Grazing bifurcations of stable periodic motions often produce complicate…