On the orbital stability of pendulum-like oscillations and rotations of a symmetric rigid body with a fixed point

DOI10.1134/S1560354712030033zbMath1253.70009OpenAlexW1980274106MaRDI QIDQ691235

Publication date: 30 November 2012

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

Full work available at URL: https://doi.org/10.1134/s1560354712030033

zbMATH Keywords

normal form Hamiltonian system resonance action-angle variables orbital stability periodic motions

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability problems in rigid body dynamics (70E50) Motion of a rigid body with a fixed point (70E17)

Related Items (11)

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 planar periodic motions of a rigid body in the Bobylev-Steklov case ⋮ The Dynamics of a Spherical Robot of Combined Type by Periodic Control Actions ⋮ On the orbital stability of pendulum-like vibrations of a rigid body carrying a rotor ⋮ On a class of solutions for the dynamic equations of a rigid body acted upon by potential and gyroscopic forces ⋮ 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

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