Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A countable number of homoclinic loops as an {\omega}-limit set for a
  planar vector field   We construct an example of a smooth, non analytic planar vector field with an
{\omega}-limit set consisting of a countable number of homoclinic loops.

26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
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
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas