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

Abstract

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.

Partially rewritten. Some mistakes fixed. Exposition improved

References in corpus (1)

• Stability of Poisson Equilibria and Hamiltonian Relative Equilibria by Energy Methods

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