A family of oscillations connecting stable and unstable permanent rotations of a heavy solid with a fixed point

DOI10.3103/S0025654423600800zbMATH Open1547.7001MaRDI QIDQ6544281

V. N. Tkhaĭ

Publication date: 27 May 2024

Published in: Mechanics of Solids (Search for Journal in Brave)

zbMATH Keywords

bifurcationreductionreversibilityEuler-Poisson equationsglobal continuationLyapunov periodic motion family

Mathematics Subject Classification ID

Motion of a rigid body with a fixed point (70E17)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• The reversibility of mechanical systems
• Continuation of periodic motions to a reversible system in structurally unstable cases. Application to the \(N\)-planet problem
• Lyapunov families of periodic motions in a reversible system
• Nonlocal generalization of the Lyapunov theorem
• Global continuation of Lyapunov centre orbits in Hamiltonian systems
• On stability of permanent Staude's rotations in a general case of a mass geometry of a rigid body

Related Items (1)

An adaptive stabilization scheme for autonomous system oscillations

This page was built for publication: A family of oscillations connecting stable and unstable permanent rotations of a heavy solid with a fixed point

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6544281)