Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complete Integrability for Hamiltonian Systems with a Cone Potential   It is known that, if a point in $R^n$ is driven by a bounded below potential
$V$, whose gradient is always in a closed convex cone which contains no lines,
then the velocity has a finite limit as time goes to $+\infty$.
  The components of the asymptotic velocity, as functions of the initial data,
are trivially constants of motion. We find sufficient conditions for these
functions to be $C^k$ ($2\le k \le+\infty$) first integrals, independent and
pairwise in involution.
  In this way we construct a large class of completely integrable systems. We
can deal with very different asymptotic behaviours of the potential and we have
persistence of the integrability under any small perturbation of the potential
in an arbitrary compact set.

17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess