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Regular version of the site

Article

Bifurcations of Relative Equilibria Sets of a Massive Point on Rough Rotating Surfaces

Technische Mechanik. 2017. Vol. 37. No. 2-5. P. 129-138.
Shalimova E., Burov A. A.

Dynamics of a massive point on a rotating wire or surface under dry friction force action is considered. Existence, stability and bifurcations of non-isolated relative equilibria sets of the point located - on a sphere uniformly rotating about an inclined fixed axis; - on a thin circular hoop rotating about an inclined fixed axis; - on a paraboloidal bowl uniformly rotating about its axis are studied. The results are represented in the form of bifurcation diagrams.