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arXiv · 1107.2503

Periodic solutions of o.d.e. systems with a lipchitz non linearity

Bernard Rousselet
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Abstract

In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stress-strain law close to the linear case. We consider existence and solution with fixed point methods; this method is constructive and provides a numerical algorithm which is under study. We describe the method for a static case example and we address periodic solutions of differential systems arising in the vibration of structures.

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Bernard Rousselet. 2011-07-13. Periodic solutions of o.d.e. systems with a lipchitz non linearity. https://arxiv.org/abs/1107.2503

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