Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two delays induce Hopf bifurcation and double Hopf bifurcation in a
  diffusive Leslie-Gower predator-prey system   In this paper, the dynamics of a modified Leslie-Gower predator-prey system
with two delays and diffusion is considered. By calculating stability switching
curves, the stability of positive equilibrium and the existence of Hopf
bifurcation and double Hopf bifurcation are investigated on the parametric
plane of two delays. Taking two time delays as bifurcation parameters, the
normal form on the center manifold near the double Hopf bifurcation point is
derived, and the unfoldings near the critical points are given. Finally, we
obtain the complex dynamics near the double Hopf bifurcation point, including
the existence of quasi-periodic solutions on a 2-torus, quasi-periodic
solutions on a 3-torus, and strange attractors.

5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ