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arXiv · 0909.4354

Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators

O. Makarenkov·F. Verhulst
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Abstract

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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O. Makarenkov, F. Verhulst. 2009-09-24. Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators. https://arxiv.org/abs/0909.4354

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