Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorization technique and isochronous condition for coupled quadratic
  and mixed Li\'enard-type nonlinear systems   In this paper, we discuss a systematic and self consistent procedure to
factorize a rather general class of coupled nonlinear ordinary differential
equations (ODEs), namely coupled quadratic and mixed Li\'enard type equations,
which include various physical and mathematical models. The procedure is
broadly divided into two parts. In the first part, we consider a general
factorized form for the equation under consideration in terms of some unknown
functions and identify the determining equations for them. In the second part,
we systematically solve the determining equations and identify the compatible
factorizing form for this class of equations. In addition, we also discuss the
problem of identification of isochronous dynamical systems belonging to the
above class of equations. In particular, we deduce an isochronocity condition
for the coupled quadratic Li\'enard equation. We also present specific examples
of physical interest.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an