F. Casas et al., UNIVERSAL GRAZING BIFURCATIONS IN IMPACT OSCILLATORS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 134-139
We examine the bifurcations of a piecewise smooth map that captures th
e universal properties of impact oscillators near grazing. In particul
ar, we study periodic orbits with one impact per period and the way th
ey are involved in the grazing bifurcations. We also show some phenome
na that these orbits exhibit at grazing for some families of parameter
values.