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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2016

On the equilibria and qualitative dynamics of a forced nonlinear oscillator with contact and friction

Résumé

After previous works related to the equilibrium states, this paper goes deeper into the study of the e ect of coupling between smooth and non- smooth non-linearities on the qualitative behavior of low dimensional dynami- cal systems. The non-smooth non-linearity is due to non-regularized unilateral contact and Coulomb friction while the smooth one is due to large strains of a simple mass spring system, which lead to a nonlinear restoring force. The main qualitative di erences with the case of a linear restoring force are due to the shape of the set of equilibrium states.
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Dates et versions

hal-01293927 , version 1 (25-03-2016)

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  • HAL Id : hal-01293927 , version 1

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Alain Leger, Elaine Pratt. On the equilibria and qualitative dynamics of a forced nonlinear oscillator with contact and friction. Discrete and Continuous Dynamical Systems - Series S, 2016, 9 (2), pp.501-527. ⟨hal-01293927⟩
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