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

DOI10.1134/S1560354712060056zbMath1344.70026OpenAlexW1973531212MaRDI QIDQ1941923

Boris S. Bardin, T. V. Rudenko, Alexander A. Savin

Publication date: 22 March 2013

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354712060056

zbMATH Keywords

periodic orbitsnormal formHamiltonian systemresonanceorbital stabilityaction-angel variables

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Celestial mechanics (70F15)

Related Items (9)

On the method of introduction of local variables in a neighborhood of periodic solution of a Hamiltonian system with two degrees of freedom ⋮ The orbital stability analysis of pendulum oscillations of a heavy rigid body with a fixed point under the Goryachev-Chaplygin condition ⋮ The stability of the plane periodic motions of a symmetrical rigid body with a fixed point ⋮ On the orbital stability of pendulum-type motions in the approximate problem of Kovalevskaya top dynamics with a vibrating suspension point ⋮ On the orbital stability of pendulum-like vibrations of a rigid body carrying a rotor ⋮ On the stability of a class of permanent rotations of a heavy asymmetric gyrostat ⋮ On the Orbital Stability of Pendulum-like Oscillations of a Heavy Rigid Body with a Fixed Point in the Bobylev – Steklov Case ⋮ On the Stability of Pendulum-type Motions in the Approximate Problem of Dynamics of a Lagrange Top with a Vibrating Suspension Point ⋮ On a Method of Introducing Local Coordinates in the Problem of the Orbital Stability of Planar Periodic Motions of a Rigid Body

Cites Work

• On the orbital stability of pendulum-like oscillations and rotations of a symmetric rigid body with a fixed point
• On the orbital stability of pendulum-like motions of a rigid body in the Bobylev-Steklov case
• The pendulum-like motions of a rigid body in the Goryachev-Chaplygin case
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