We study a model for neural activity on the small-world topology of
Watts and Strogatz and on the scale-free topology of Barabasi and
Albert. We find that the topology of the network connections may
spontaneously induce periodic neural activity, contrasting with
nonperiodic neural activities exhibited by regular topologies. Periodic
activity exists only for relatively small networks and occurs with
higher probability when the rewiring probability is larger. The average
length of the periods increases with the square root of the network
size.
%0 Journal Article
%1 WOS:000239425700072
%A Paula, D R
%A Araujo, A D
%A Jr., J S Andrade
%A Herrmann, H J
%A Gallas, J A C
%C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
%D 2006
%I AMER PHYSICAL SOC
%J PHYSICAL REVIEW E
%K imported
%N 1, 2
%R 10.1103/PhysRevE.74.017102
%T Periodic neural activity induced by network complexity
%V 74
%X We study a model for neural activity on the small-world topology of
Watts and Strogatz and on the scale-free topology of Barabasi and
Albert. We find that the topology of the network connections may
spontaneously induce periodic neural activity, contrasting with
nonperiodic neural activities exhibited by regular topologies. Periodic
activity exists only for relatively small networks and occurs with
higher probability when the rewiring probability is larger. The average
length of the periods increases with the square root of the network
size.
@article{WOS:000239425700072,
abstract = {We study a model for neural activity on the small-world topology of
Watts and Strogatz and on the scale-free topology of Barabasi and
Albert. We find that the topology of the network connections may
spontaneously induce periodic neural activity, contrasting with
nonperiodic neural activities exhibited by regular topologies. Periodic
activity exists only for relatively small networks and occurs with
higher probability when the rewiring probability is larger. The average
length of the periods increases with the square root of the network
size.},
added-at = {2022-05-23T20:00:14.000+0200},
address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA},
author = {Paula, D R and Araujo, A D and Jr., J S Andrade and Herrmann, H J and Gallas, J A C},
biburl = {https://www.bibsonomy.org/bibtex/2269ca6e1357945d656b7cf204aa770b4/ppgfis_ufc_br},
doi = {10.1103/PhysRevE.74.017102},
interhash = {fd64de59d2768c1267af80fc76b6ac45},
intrahash = {269ca6e1357945d656b7cf204aa770b4},
issn = {1539-3755},
journal = {PHYSICAL REVIEW E},
keywords = {imported},
number = {1, 2},
publisher = {AMER PHYSICAL SOC},
pubstate = {published},
timestamp = {2022-05-23T20:00:14.000+0200},
title = {Periodic neural activity induced by network complexity},
tppubtype = {article},
volume = 74,
year = 2006
}