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Relative equilibria at singular points of the moment map

Eugene Lerman
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Abstract

We prove a criterion for stability of relative equilibria in symmetric Hamiltonian systems at singular points of the momentum map. This generalizes a theorem of G.W. Patrick. The method of the proof is also useful in studying the bifurcation of relative equilibria.

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Eugene Lerman. 1997-06-12. Relative equilibria at singular points of the moment map. https://arxiv.org/abs/dg-ga/9706009

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