Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proof of the uniqueness of the limit cycle of a quasi-homogeneous
  system   A. Gasull shared a list of 33 open problems in low dimensional dynamical
systems in his work in 2021. The second part of Problem 3 is about whether the
limit cycle of a quasi-homogeneous system $
  \dot{x}=y,\;
  \dot{y}=-x^3+\alpha x^2y+y^3 $ is unique. In this paper, we give a positive
answer to this question by analysing the uniqueness of the heteroclinic
separatrix at infinity.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat