Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coexistence of regular and irregular dynamics in complex networks of
  pulse-coupled oscillators   For general networks of pulse-coupled oscillators, including regular, random,
and more complex networks, we develop an exact stability analysis of
synchronous states. As opposed to conventional stability analysis, here
stability is determined by a multitude of linear operators. We treat this
multi-operator problem analytically and show that for inhibitory interactions
the synchronous state is stable, independent of the parameters and the network
connectivity. In randomly connected networks with strong interactions this
synchronous state, displaying \textit{regular} dynamics, coexists with a
balanced state that exhibits \textit{irregular} dynamics such that external
signals may switch the network between qualitatively distinct states.

7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th