2010 | OriginalPaper | Buchkapitel
Bifurcations in Non-smooth Models of Mechanical Systems
verfasst von : Piotr Kowalczyk, Arne Nordmark
Erschienen in: Non-smooth Problems in Vehicle Systems Dynamics
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
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.