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

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

2005-06-14

arxiv.org/abs/math/0506280v2

Nonlinearity 19 (2006) 853-877

Mathematics

Dynamical Systems

Partially rewritten. Some mistakes fixed. Exposition improved

Scientific paper

10.1088/0951-7715/19/4/005

A method for testing $G_\mu$-stability of relative equilibria in Hamiltonian
systems of the form "kinetic + potential energy" is presented. This method
extends the Reduced Energy-Momentum Method of Simo et al. to the case of
non-free group actions and singular momentum values. A normal form for the
symplectic matrix at a relative equilibrium is also obtained.

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