Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators

Details Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators

2009-09-24

arxiv.org/abs/0909.4354v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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