Non-smooth hopf-type and grazing bifurcations arising from impact/friction contact events

Karin Mora, Chris Budd

Research output: Chapter or section in a book/report/conference proceedingChapter or section


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.

Original languageEnglish
Title of host publicationExtended Abstracts Spring 2016
Subtitle of host publicationNon Smooth Dynamics
EditorsA. Columbo, M. R. Jeffrey, J. T. Lazaro, J. M. Olm
Number of pages6
ISBN (Electronic)978-3-319-55642-0
ISBN (Print)9783319556413
Publication statusPublished - 2017

Publication series

NameTrends in Mathematics

ASJC Scopus subject areas

  • General Mathematics


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