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Published in:
2010 | OriginalPaper | Chapter
Bifurcations in Non-smooth Models of Mechanical Systems
Authors : Piotr Kowalczyk, Arne Nordmark
Published in: Non-smooth Problems in Vehicle Systems Dynamics
Publisher: Springer Berlin Heidelberg
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Non–smooth models are often used for mechanical systems, for example to model contact or friction. When system parameters are varied, changes in dynamical behaviour may occur that are different from the standard bifurcations found in smooth systems. Obtaining a unified picture of such non-smooth bifurcations is difficult, because of the wide range of different types of discontinuities commonly encountered. Here we will present theorems concerning boundary induced bifurcations of equilibria and limit cycles in generic Filippov systems, and apply the theory to a model of a friction oscillator.