Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of Invariant Tori of Certain Integrable Systems with Symmetry
  and an Application to a Nonholonomic System   Bifibrations, in symplectic geometry called also dual pairs, play a relevant
role in the theory of superintegrable Hamiltonian systems. We prove the
existence of an analogous bifibrated geometry in dynamical systems with a
symmetry group such that the reduced dynamics is periodic. The integrability of
such systems has been proven by M. Field and J. Hermans with a reconstruction
technique. We apply the result to the nonholonomic system of a ball rolling on
a surface of revolution.

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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat