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