Complete analysis of bifurcations in the axial gyrostat problem

DOI10.1088/0305-4470/30/2/021zbMath0963.70522OpenAlexW2063401830MaRDI QIDQ4950265

Antonio Elipe, Mercedes Arribas, Andrés Riaguas

Publication date: 8 May 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/30/2/021

zbMATH Keywords

centrespitchfork bifurcationssaddletriaxial rigid bodysymmetric rotoroyster bifurcationphase flow evolutiontorque-free asymmetric gyrostat motiontwo-parametric quadratic Hamiltonian

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in classical and celestial mechanics (37N05) Stability problems in rigid body dynamics (70E50) Motion of the gyroscope (70E05)

Related Items (11)

Umbilical torus bifurcations in Hamiltonian systems ⋮ Behavior of a free dual-spin gyrostat with different ratios of inertia moments ⋮ Motion of \(N\) articulated rigid bodies with chain structure in the field of two mutually attracting massive centers: General formalism and a survey of the chain's planar motion ⋮ On the dynamics of a gyrostat on Lagrangian equilibria in the three body problem ⋮ Stationary solutions of a small gyrostat in the Newtonian field of two bodies with equal masses ⋮ Unnamed Item ⋮ Stability of the permanent rotations of an asymmetric gyrostat in a uniform Newtonian field ⋮ Quadratic Hamiltonians on non-symmetric Poisson structures ⋮ Stochastic variational formulations of fluid wave-current interaction ⋮ The reversible umbilic bifurcation ⋮ On the stability of a class of permanent rotations of a heavy asymmetric gyrostat

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