Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of autonomous systems with external forces   We consider a geometric framework for analytical mechanics with external
forces. Four versions of this framework are considered. A variational principle
with boundary terms and external forces.The second and the third versions are
the Lagrangian and Hamiltonian formulations,respectively. The last one is the
Poisson formulation. An extensive introductory section presents some well known
and some little known geometric constructions to put our formulation in the
appropriate setting to make the comparison of the different formulations
easier.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con