@inbook{b4113fb8075e4f978b6a295ab45e5806,
title = "Non-smooth hopf-type and grazing bifurcations arising from impact/friction contact events",
abstract = "A new discontinuity-induced bifurcation, referred to as nonsmooth Hopftype bifurcation, observed in a nonautonomous impacting hybrid systems in ℝ4 is presented. The system studied models the bouncing motion, repeated instantaneous impacts with friction, in rotating machines with magnetic bearing support. At the nonsmoothHopf-type bifurcation point a stable regular equilibrium and two unstable small amplitude 1-impact periodic orbits arise. The existence of this bifurcation scenario depends on a complex relationship between damping, the restitution, and the friction coefficient.",
author = "Karin Mora and Chris Budd",
year = "2017",
doi = "10.1007/978-3-319-55642-0_23",
language = "English",
isbn = "9783319556413",
series = "Trends in Mathematics",
publisher = "Birkh{\"a}user",
pages = "129--134",
editor = "A. Columbo and Jeffrey, {M. R.} and Lazaro, {J. T.} and Olm, {J. M.}",
booktitle = "Extended Abstracts Spring 2016",
address = "Switzerland",
}