7 citations · 19 across the 9 of their papers we have counts for
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math.DS2013★ 2 cited
Double scale analysis of periodic solutions of some non linear vibrating systems
Nadia Ben Brahim, Bernard Rousselet
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…
math.DS2011
Periodic solutions of o.d.e. systems with a lipchitz non linearity
Bernard Rousselet
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 li…
math.DS2009★ 1 cited
The Method of Strained Coordinates for Vibrations with Weak Unilateral Springs
Stéphane Junca, Bernard Rousselet
We study some spring mass models for a structure having a unilateral spring of small rigidity . We obtain and justify an asymptotic expansion with the method of strained coordin…