Bifurcations of the relative equilibria of a heavy bead on a rotating hoop with dry friction

DOI10.1016/J.JAPPMATHMECH.2015.03.004zbMath1432.70034OpenAlexW2045651551MaRDI QIDQ1789342

I. A. Yakushev, Alexander A. Burov

Publication date: 10 October 2018

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2015.03.004

Mathematics Subject Classification ID

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

Related Items (5)

An application of the Lyapunov stability theorem: a bead on a rotating hoop ⋮ On the motion of a point particle on a homogeneous gravitating ball with a spherical cavity in the presence of dry friction ⋮ 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 ⋮ On Hopf bifurcation in the problem of motion of a heavy particle on a rotating sphere: the viscous friction case

Cites Work

• Stability properties of equilibrium sets of nonlinear mechanical systems with dry friction and impact
• Bifurcations of equilibria in non-smooth continuous systems
• On bifurcations of relative equilibria of a heavy bead sliding with dry friction on a rotating circle
• Bifurcation phenomena in non-smooth dynamical systems
• Stability and convergence of mechanical systems with unilateral constraints
• Stability of a gyroscope having a vertical axis of the outer ring with dry friction in the gimbal axes taken into account
• On the stability of equilibrium states for systems with dry friction
• PERFORMANCE OF AN AUTOMATIC BALL BALANCER WITH DRY FRICTION
• Investigation of the stability of a gyroscope taking into account the dry friction on the axis of the inner cardan ring (gimbal)
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