Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators

Arne Nordmark (1)

1 KTH Solid Mechanics

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.

Domaines: Sciences de l'ingénieur [physics]

Arne Nordmark. Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators. Nonlinearity, 2001, ⟨10.1088/0951-7715/14/6/306⟩. ⟨hal-01297283⟩