title: Saddle-point solutions and grazing bifurcations in an impacting system.
abstract: This paper focuses on the intricate relationship between smooth and nonsmooth phenomena in an impacting system. In particular a boundary saddle-point solution, that is born in a nonsmooth fold, is analysed. Accessible boundary saddle-point solutions play a key role in determining the global dynamics of a system and here we will show how grazing bifurcations can affect their existence.
authors.affiliation: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, University Road, Galway, Ireland.
authors.forename: Joanna F
authors.initials: JF
authors.lastname: Mason
authors.forename: Petri T
authors.initials: PT
authors.lastname: Piiroinen
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D017711:Nonlinear Dynamics