Nonstandard Bifurcations in Oscillators with Multiple Discontinuity Boundaries (original) (raw)

The model of a double-belt friction oscillator is proposed, which exhibitsmultiple discontinuity boundaries in the phase space. The system consists of a simpleoscillator dragged by two different rough supports moving with constant driving velocitiesand subjected to an elastic restoring force and viscous damping. Self-sustained oscillationshave been observed to occur, with nonstandard attracting properties. By consideringthe problem from a nonsmooth dynamical systems perspective, the evolution ofsteady state attractors as the velocities of the belts are varied is described. The nonsmoothnesssets of the system at hand and, in particular, the presence of multiple discontinuityboundaries, lead to nonstandard bifurcations which are studied here by meansof analytical and numerical tools.

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