Peer-Reviewed Journal Details
Mandatory Fields
Humphries, N,Piiroinen, PT
Physica D
A discontinuity-geometry view of the relationship between saddle-node and grazing bifurcations
Optional Fields
Impact oscillator Discontinuity-geometry Saddle-node bifurcation Grazing bifurcation IMPACT OSCILLATORS MECHANICAL OSCILLATORS GEAR RATTLE DYNAMICS MICROACTUATORS MODELS
In this study we will introduce a topological approach termed as discontinuity-geometry for both analysis and visualization of the dynamics of periodically-forced impact oscillators. After a brief outline of the methodology and the general representation of trajectories with impacts the framework will be used to analyse grazing bifurcations. In particular it will be used to geometrically explain why there is sometimes a saddle-node bifurcation present in the vicinity of grazing bifurcations and why it is sometimes absent. (C) 2011 Elsevier B.V. All rights reserved.
DOI 10.1016/j.physd.2011.05.003
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