Article Contents
Article Contents

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

• After previous works related to the equilibrium states, this paper goes deeper into the study of the effect of coupling between smooth and non-smooth non-linearities on the qualitative behavior of low dimensional dynamical 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 differences with the case of a linear restoring force are due to the shape of the set of equilibrium states.
Mathematics Subject Classification: Primary: 70K42, 70K05; Secondary: 37M99.

 Citation:

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