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arXiv 0909.4354math.CA
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Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators

O. Makarenkov, F. Verhulst

英文摘要:

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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