Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonholonomic connections, time reparametrizations, and integrability of
  the rolling ball over a sphere   We study a time reparametrisation of the Newton type equations on Riemannian
manifolds slightly modifying the Chaplygin multiplier method, allowing us to
consider the Chaplygin method and the Maupertuis principle within a unified
framework. As an example, the reduced nonholonomic problem of rolling without
slipping and twisting of an $n$-dimensional balanced ball over a fixed sphere
is considered. For a special inertia operator (depending on $n$ parameters) we
prove complete integrability when the radius of the ball is twice the radius of
the sphere. In the case of $SO(l)\times SO(n-l)$ symmetry, noncommutative
integrability for any ratio of the radii is established.

4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess