On the orbital stability of periodic motions of a heavy rigid body in the Bobylev-Steklov case

DOI10.20537/nd240302MaRDI QIDQ6640631

Boris S. Bardin

Publication date: 20 November 2024

Published in: Russian Journal of Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

normal formresonancesorbital stabilitysymplectic mapperiodic motionsBobylev-Steklov case

Mathematics Subject Classification ID

Stability problems in rigid body dynamics (70E50) Motion of a rigid body with a fixed point (70E17)

Cites Work

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• Orbital stability analysis using first integrals
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• On the stability of the regular Grioli precession in a particular case
• On the orbital stability of pendulum-like motions of a rigid body in the Bobylev-Steklov case
• On the Orbital Stability of Pendulum-like Oscillations of a Heavy Rigid Body with a Fixed Point in the Bobylev – Steklov Case
• Invariant sets in the Goryachev–Chaplygin problem: existence, stability and branching
• The stability of the grioli precession
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• On a Method of Introducing Local Coordinates in the Problem of the Orbital Stability of Planar Periodic Motions of a Rigid Body
• On the method of introduction of local variables in a neighborhood of periodic solution of a Hamiltonian system with two degrees of freedom

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