Periodic solutions of o.d.e. systems with a lipchitz non linearity
Dynamical Systems
2011-07-15 v1 Classical Physics
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.
Keywords
Cite
@article{arxiv.1107.2503,
title = {Periodic solutions of o.d.e. systems with a lipchitz non linearity},
author = {Bernard Rousselet},
journal= {arXiv preprint arXiv:1107.2503},
year = {2011}
}