Stability of relative equilibria with singular momentum values in simple mechanical systems

DOI10.1088/0951-7715/19/4/005zbMath1169.37305arXivmath/0506280OpenAlexW2070044349MaRDI QIDQ5487933

Miguel Rodríguez-Olmos

Publication date: 13 September 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506280

zbMATH Keywords

Hamiltonian systemsnon-free group actionsnormal of symplectic matrixsingular momentum values

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stability problems in rigid body dynamics (70E50) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Motion of a rigid body with a fixed point (70E17)

Related Items (5)

Nonlinear stability of Riemann ellipsoids with symmetric configurations ⋮ Hessian operators on constraint manifolds ⋮ A Hamiltonian study of the stability and bifurcations for the satellite problem ⋮ The symplectic normal space of a cotangent-lifted action ⋮ Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies

This page was built for publication: Stability of relative equilibria with singular momentum values in simple mechanical systems