Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conserved quantities and Hamiltonization of nonholonomic systems   This paper studies hamiltonization of nonholonomic systems using geometric
tools. By making use of symmetries and suitable first integrals of the system,
we explicitly define a global 2-form for which the gauge transformed
nonholonomic bracket gives rise to a new bracket on the reduced space codifying
the nonholonomic dynamics and carrying an almost symplectic foliation
(determined by the common level sets of the first integrals). In appropriate
coordinates, this 2-form is shown to agree with the one previously introduced
locally in [34]. We use our coordinate-free viewpoint to study various
geometric features of the reduced brackets. We apply our formulas to obtain a
new geometric proof of the hamiltonization of a homogeneous ball rolling
without sliding in the interior side of a convex surface of revolution using
our formulas.

24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph