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The dynamics of a simple dynamical system subjected to an elastic restoring force, viscous damping and dry friction forces is investigated. Self-sustained oscillations occur with non-standard attracting properties. Discontinuity of the governing equations leads to non-standard bifurcations, which are studied here, with analytical and numerical tools.
The dynamics of a three-block mechanical system is investigated: each block is pulled by a belt and is subjected to linear elastic and nonlinear frictional forces which induce oscillations in the system. The study of the full dynamics of the system is partially reduced to the study of a two-dimensional map; its attractors, their basins of attraction and their Lyapunov exponents provide a powerful...
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