Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The analytic integrability problem for perturbations of homogeneous
  quadratic Lotka-Volterra systems   We solve the analytic integrability problem for diferential systems in the
plane whose origin is an isolated singularity and the first homogeneous
component is a quadratic Lotka-Volterra type. As an application, we give the
analytically integrable systems of a class of systems $\dot{x}= x(P1+P2)$;
$\dot{y}= y(Q1+Q2)$; being Pi,Qi homogeneous polynomials of degree i.

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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess