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Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
KTH, Superseded Departments, Mechanics.
2001 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 14, no 6, 1517-1542 p.Article in journal (Refereed) Published
Abstract [en]

Grazing bifurcations are local bifurcations that can occur in dynamical models of impacting mechanical systems. The motion resulting from a grazing bifurcation can be complex. In this paper we discuss the creation of periodic orbits associated with grazing bifurcations, and we give sufficient conditions for the existence of a such a family of orbits. We also give a numerical example for an impacting system with one degree of freedom.

Place, publisher, year, edition, pages
2001. Vol. 14, no 6, 1517-1542 p.
Keyword [en]
URN: urn:nbn:se:kth:diva-21139ISI: 000172472500006OAI: diva2:339836
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Nordmark, Arne B.
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