36 pagesWe 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
Response and dynamical stability of oscillators with discontinuous or steep first derivative of rest...
International audienceThis paper is devoted to the study of vibration of mechanical systems with geo...
International audienceA single-degree of freedom non-linear oscillator is considered. The non-linear...
We consider small solutions of a vibrating system with smooth non-linearities for which we provide a...
International audienceWe consider {\it small solutions} of a vibrating mechanical system with smooth...
We consider small solutions of a vibrating mechanical system with smooth non-linearities for which w...
Nous considérons un système mécanique en vibration non linéaire, pour lequel nous fournissons une s...
In this report, we address differential systems with Lipschitz non linearities; this study is motiva...
This thesis involves the study of four problems in the area of nonlinear vibrations, using the asymp...
International audienceThis paper describes the dynamic behaviour of a coupled system which includes ...
An alternative perturbation procedure of multiple scales is presented in this paper which is capable...
The paper is focused on a solution of a vibrating system with one-degree-of-freedom (1 DOF). The goa...
International audienceNormal vibrations in non-linear systems are a generalization of normal (princi...
It is possible to use numerical techniques to provide solutions to nonlinear dynamical systems that ...
In structural dynamics, autonomous conservative systems most commonly exhibit continuous families of...
Response and dynamical stability of oscillators with discontinuous or steep first derivative of rest...
International audienceThis paper is devoted to the study of vibration of mechanical systems with geo...
International audienceA single-degree of freedom non-linear oscillator is considered. The non-linear...
We consider small solutions of a vibrating system with smooth non-linearities for which we provide a...
International audienceWe consider {\it small solutions} of a vibrating mechanical system with smooth...
We consider small solutions of a vibrating mechanical system with smooth non-linearities for which w...
Nous considérons un système mécanique en vibration non linéaire, pour lequel nous fournissons une s...
In this report, we address differential systems with Lipschitz non linearities; this study is motiva...
This thesis involves the study of four problems in the area of nonlinear vibrations, using the asymp...
International audienceThis paper describes the dynamic behaviour of a coupled system which includes ...
An alternative perturbation procedure of multiple scales is presented in this paper which is capable...
The paper is focused on a solution of a vibrating system with one-degree-of-freedom (1 DOF). The goa...
International audienceNormal vibrations in non-linear systems are a generalization of normal (princi...
It is possible to use numerical techniques to provide solutions to nonlinear dynamical systems that ...
In structural dynamics, autonomous conservative systems most commonly exhibit continuous families of...
Response and dynamical stability of oscillators with discontinuous or steep first derivative of rest...
International audienceThis paper is devoted to the study of vibration of mechanical systems with geo...
International audienceA single-degree of freedom non-linear oscillator is considered. The non-linear...