Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodicity induced by noise and interaction in the kinetic mean-field
  FitzHugh-Nagumo model   We consider the long-time behavior of a population of mean-field oscillators
modeling the activity of interacting excitable neurons in large population.
Each neuron is represented by its voltage and recovery variables, which are
solution to a FitzHugh-Nagumo system, and interacts with the rest of the
population through a mean-field linear coupling, in the presence of noise. The
aim of the paper is to study the emergence of collective oscillatory behaviors
induced by noise and interaction on such a system. The main difficulty of the
present analysis is that we consider the kinetic case, where interaction and
noise are only imposed on the voltage variable. We prove the existence of a
stable cycle for the infinite population system, in a regime where the local
dynamics is small.

17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int