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
Contributor : Bernard Rousselet <>
Submitted on : Wednesday, July 13, 2011 - 9:35:54 AM
Last modification on : Friday, January 12, 2018 - 1:51:43 AM
Long-term archiving on : Friday, October 14, 2011 - 2:36:42 AM

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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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