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

DOI10.1007/S00707-009-0265-1zbMath1397.70032OpenAlexW2142928578MaRDI QIDQ1956434

Alexander A. Burov

Publication date: 22 September 2010

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-009-0265-1

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Problems involving a system of particles with friction (70F40)

Related Items (9)

An application of the Lyapunov stability theorem: a bead on a rotating hoop ⋮ On the relative equilibria of a heavy bead on a uniformly rotating rough spoke ⋮ On the motion of a point particle on a homogeneous gravitating ball with a spherical cavity in the presence of dry friction ⋮ On relative equilibria on the surface of a spherical cavity inside a uniformly rotating gravitating ball ⋮ Relative equilibria of a heavy point on a uniformly rotating inclined plane ⋮ On the motion of a heavy material point on a rotating sphere (dry friction case) ⋮ Bifurcations of the relative equilibria of a heavy bead on a hoop uniformly rotating about an inclined axis with dry friction ⋮ Bifurcations of the relative equilibria of a heavy bead on a rotating hoop with dry friction ⋮ On Hopf bifurcation in the problem of motion of a heavy particle on a rotating sphere: the viscous friction case

Cites Work

• Unnamed Item
• Attractivity of equilibrium sets of systems with dry friction
• On nonsmooth bifurcations in a simple friction oscillator
• One-Parameter Bifurcations in Planar Filippov Systems

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