%0 Journal Article
%T Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators
%A O. Makarenkov
%A F. Verhulst
%J Mathematics
%D 2009
%I arXiv
%X We use an averaging approach to prove bifurcation of asymptotically stable periodic solutions in a bi-linear oscillator whose one spring has nearly infinite stiffness. This leads to a singularly perturbed problem where the classical theory does not apply.
%U http://arxiv.org/abs/0909.4354v1