On the stability of a class of permanent rotations of a heavy asymmetric gyrostat
type: Item
instance of: scholarly article
title: On the stability of a class of permanent rotations of a heavy asymmetric gyrostat
zbMATH Open document ID: 1437.70007
DOI: 10.1134/S156035471707005X
author: Manuel Iñarrea
author: Ana Isabel Pascual
author: Antonio Elipe
author: Víctor Lanchares
published in: Regular and Chaotic Dynamics
publication date: 2018-10-16T00:00:00Z
Mathematics Subject Classification ID: 70E17
Mathematics Subject Classification ID: 70E50
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 70H14
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 37N05
zbMATH DE Number: 6955781
zbMATH Keywords: gyrostat rotation
zbMATH Keywords: stability
zbMATH Keywords: energy-Casimir method
MaRDI profile type: Publication
cites work: On the stability of permanent rotations of a heavy gyrostat
cites work: On an apriori estimate in the theory of hydrodynamical stability
cites work: Chaotic dynamics of an unbalanced gyrostat
cites work: Integrable cases of the problem of the free motion of a gyrostat
cites work: On the orbital stability of pendulum-like motions of a rigid body in the Bobylev-Steklov case
cites work: On the orbital stability of pendulum-like oscillations and rotations of a symmetric rigid body with a fixed point
cites work: On the orbital stability of planar periodic motions of a rigid body in the Bobylev-Steklov case
cites work: The stability of the plane periodic motions of a symmetrical rigid body with a fixed point
cites work: Stabilization of rigid body dynamics by the Energy-Casimir method
cites work: On sufficient conditions of stability of the permanent rotations of a heavy triaxial gyrostat
cites work: The stability problem for the torque-free gyrostat investigated by using algebraic methods
cites work: Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods
cites work: Complete analysis of bifurcations in the axial gyrostat problem
cites work: Two equivalent problems: Gyrostats in free motion and parametric quadratic Hamiltonians
cites work: Phase flow of an axially symmetrical gyrostat with one constant rotor
cites work: Exact solution of a triaxial gyrostat with one rotor
cites work: Symbolic-numerical methods of studying equilibrium positions of a gyrostat satellite
cites work: Nonlinear stability of fluid and plasma equilibria
cites work: CHAOS IN THE REORIENTATION PROCESS OF A DUAL-SPIN SPACECRAFT WITH TIME-DEPENDENT MOMENTS OF INERTIA
cites work: Stability of the permanent rotations of an asymmetric gyrostat in a uniform Newtonian field
cites work: Stability of steady rotations of a heavy gyrostat about its principal axis
cites work: Chaotic dynamics of an asymmetrical gyrostat
cites work: Spin Rotor Stabilization of a Dual-Spin Spacecraft with Time Dependent Moments of Inertia
cites work: The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
cites work: On stability of regular precessions of a non-symmetric gyroscope
cites work: On the Steklov case in rigid body dynamics
cites work: Lectures on Mechanics
cites work: Nonlinear stability of singular relative periodic orbits in Hamiltonian systems with symmetry
cites work: On the stability of motion of gyrostats
cites work: The motion of a symmetric gyrostat with two rotors
cites work: On the stability of Staude's permanent rotations of a gyroscope with damping
cites work: The gyrostat with a fixed point in a Newtonian force field: relative equilibria and stability
full work available at URL: s156035471707005x
OpenAlex ID: W2793010613
Wikidata QID: Q130206577
description: scientific article; zbMATH DE number 6955781