Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spontaneous symmetry breaking and the dynamics of three interacting
  nonlinear optical resonators with gain and loss   The dynamics of two active nonlinear resonators coupled to a linear resonator
is studied theoretically. Possible stationary states and its dynamical
stability are considered in detail. The spontaneous symmetry breaking is found
and it is shown that this bifurcation results in the formation of asymmetric
states. It is also found that the oscillating states can occur in the system in
a certain range of parameters. The results of the analysis of the stationary
states are confirmed by direct numerical simulations. The possibility of the
switching between different states is also demonstrated by numerical
experiments.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph