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

Abstract

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.