Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
2001 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 14, no 6, 1517-1542 p.Article in journal (Refereed) Published
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.
IdentifiersURN: urn:nbn:se:kth:diva-21139ISI: 000172472500006OAI: oai:DiVA.org:kth-21139DiVA: diva2:339836
QC 201005252010-08-102010-08-10Bibliographically approved