Existence of Periodic Orbits in Grazing Bifurcations of Impacting Mechanical Oscillators

Authors: Nordmark, A.
Document Type: Article
Pubstate: Published
Journal: Nonlinearity
Volume: 14   1517-1542
Year: 2001


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.