Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonian Relative Equilibria with Continuous Isotropy   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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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex