GEOMETRY OF VIBRATIONAL STABILIZATION AND SOME APPLICATIONS

DOI10.1142/S0218127405013745zbMath1092.70513MaRDI QIDQ5474323

Mark Levi

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

holonomic systemnonholonomic systemChaplygin skate

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Control of mechanical systems (70Q05) Nonholonomic systems related to the dynamics of a system of particles (70F25) Holonomic systems related to the dynamics of a system of particles (70F20) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (4)

On the effect of damping on the stabilization of mechanical systems via parametric excitation ⋮ The pendulum under vibrations revisited ⋮ Moving constraints as stabilizing controls in classical mechanics ⋮ Stabilization via parametric excitation of multi-dof statically unstable systems

Cites Work

• Unnamed Item
• Geometry of the Prytz planimeter
• Global dynamics of a rapidly forced cart and pendulum
• Geometry and physics of averaging with applications
• Classical non-adiabatic angles
• Stability of the Inverted Pendulum—A Topological Explanation
• Geometry of Kapitsa's potentials
• Stabilization of the Inverted Linearized Pendulum by High Frequency Vibrations
• An Analytical Solution of the Inverted Pendulum

This page was built for publication: GEOMETRY OF VIBRATIONAL STABILIZATION AND SOME APPLICATIONS