Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of Lagrangian and Hamiltonian Structures starting from one
  Constant of Motion   The problem of the construction of Lagrangian and Hamiltonian structures
starting from two first order equations of motion is presented. This new
approach requires the knowledge of one (time independent) constant of motion
for the dynamical system only. The Hamiltonian and Lagrangian structures are
constructed, the Hamilton Jacobi equation is then written and solved and the
second (time dependent) constant of the motion for the problem is explicitly
exhibited.

33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
2
The categories of this paper are: math