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

Miguel Rodriguez-Olmos
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Abstract

A method for testing $G_μ$-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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Miguel Rodriguez-Olmos. 2006-12-15. Stability of relative equilibria with singular momentum values in simple mechanical systems. https://doi.org/10.1088/0951-7715%2F19%2F4%2F005

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