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

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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https://hal.univ-cotedazur.fr/hal-00608442
Contributeur : Bernard Rousselet <>
Soumis le : mercredi 13 juillet 2011 - 09:35:54
Dernière modification le : vendredi 12 janvier 2018 - 01:51:43
Document(s) archivé(s) le : vendredi 14 octobre 2011 - 02:36:42

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perio-impl3.pdf
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  • HAL Id : hal-00608442, version 1
  • ARXIV : 1107.2503

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Bernard Rousselet. Periodic solutions of o.d.e. systems with a lipchitz non linearity. 2011. 〈hal-00608442〉

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