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Paper detail

Double scale analysis of periodic solutions of some non linear vibrating systems

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.

preprint2013arXivOpen access
Nadia Ben BrahimBernard Rousselet
math.DSphysics.class-ph
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Nadia Ben BrahimBernard Rousselet

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