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arXiv · 1509.04961

Hamiltonian Relative Equilibria with Continuous Isotropy

James Montaldi·Miguel Rodriguez-Olmos
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Abstract

In symmetric Hamiltonian systems, relative equilibria usually arise in continuous families. The geometry of these families in the setting of free actions of the symmetry group is well-understood. Here we consider the question for non-free actions. Some results are already known in this direction, and we use the so called bundle equations to provide a systematic treatment of this question which both consolidates the known results, extending the scope of the results to deal with non-compact symmetry groups, as well as producing new results. Specifically we address questions about the stability, persistence and bifurcations of these relative equilibria.

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James Montaldi, Miguel Rodriguez-Olmos. 2015-09-16. Hamiltonian Relative Equilibria with Continuous Isotropy. https://arxiv.org/abs/1509.04961

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