Double scale analysis of periodic solutions of some non linear vibrating systems
Dynamical Systems
2013-06-24 v3 Classical Physics
Abstract
We consider {\it small solutions} of a vibrating system with smooth non-linearities for which we provide an approximate solution by using a double scale analysis; a rigorous proof of convergence of a double scale expansion is included; for the forced response, a stability result is needed in order to prove convergence in a neighbourhood of a primary resonance.
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Cite
@article{arxiv.1301.3294,
title = {Double scale analysis of periodic solutions of some non linear vibrating systems},
author = {Nadia Ben Brahim and Bernard Rousselet},
journal= {arXiv preprint arXiv:1301.3294},
year = {2013}
}
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36 pages