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

  • A. Burov
  • E. Shalimova

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.

Published
2019-06-13
Section
Article