Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic Mechanics of Locally Conservative Physical Systems   The analysis of the dynamics of a material point perfectly constrained to a
submanifold of the three-dimensional euclidean space and subjected to a locally
conservative force's field, namely a force's field corresponding to a closed
but not necessarily exact differential form on such a submanifold, requires a
generalization of the Lagrangian and the Hamiltonian formalism that is here
developed.

26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th