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arxiv: 0909.4354 · v1 · submitted 2009-09-24 · 🧮 math.CA

Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators

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keywords asymptoticallybifurcationnearlyperiodicsolutionsstableapplyapproach
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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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