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On bifurcations of relative equilibria of a heavy bead sliding with dry friction on a rotating circle

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Abstract

For mechanical systems, possessing first integrals before all, the investigation of steady motions in dependence on parameters is usually carried out with the aid of bifurcation diagrams. Appropriate pictures turn out being convenient, in particular, for analysing the stability of steady motions. The use of bifurcation diagrams for drawing and analysing steady motions for systems subjected to dry friction is not as widely spread. This circumstance is probably related to the fact that the steady motions for such systems, as a rule, are not isolated.

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Correspondence to A. A. Burov.

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Burov, A.A. On bifurcations of relative equilibria of a heavy bead sliding with dry friction on a rotating circle. Acta Mech 212, 349–354 (2010). https://doi.org/10.1007/s00707-009-0265-1

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