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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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Contributor : Bernard Rousselet <>
Submitted on : Wednesday, July 13, 2011 - 9:35:54 AM
Last modification on : Wednesday, October 14, 2020 - 4:24:22 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


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



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