TY - JOUR
T1 - Frequency enhancement in coupled noisy excitable elements
T2 - Effects of network topology
AU - Chiang, Wei Yin
AU - Lai, Pik Yin
AU - Chan, Chi Keung
N1 - Publisher Copyright:
© EDP Sciences, Societa Italiana di Fisica, Springer-Verlag 2013.
PY - 2013
Y1 - 2013
N2 - Coupled excitable elements in the presence of noise can exhibit oscillatory behavior with non-trivial frequency dependence as the coupling strength of the system increases. The phenomenon of frequency enhancement (FE) occurs in some coupling regime, in which the elements can oscillate with a frequency higher than their uncoupled frequencies. In this paper, details of the FE are investigated by simulations of the FitzHugh-Nagumo model with different network topologies. It is found that the characteristics of FE, such as the maximal enhancement coupling, enhancement level etc, are functions of the network topology and spatial dimensions. The effect of excitability and the spatio-temporal patterns during FE are investigated to provide an intuitive picture for the enhancement mechanism. Interestingly, some of these characteristics of FE can be described by scaling laws; suggesting the existence of universality in the FE phenomenon. The relevance of these results to biological rhythms are also discussed.
AB - Coupled excitable elements in the presence of noise can exhibit oscillatory behavior with non-trivial frequency dependence as the coupling strength of the system increases. The phenomenon of frequency enhancement (FE) occurs in some coupling regime, in which the elements can oscillate with a frequency higher than their uncoupled frequencies. In this paper, details of the FE are investigated by simulations of the FitzHugh-Nagumo model with different network topologies. It is found that the characteristics of FE, such as the maximal enhancement coupling, enhancement level etc, are functions of the network topology and spatial dimensions. The effect of excitability and the spatio-temporal patterns during FE are investigated to provide an intuitive picture for the enhancement mechanism. Interestingly, some of these characteristics of FE can be described by scaling laws; suggesting the existence of universality in the FE phenomenon. The relevance of these results to biological rhythms are also discussed.
UR - http://www.scopus.com/inward/record.url?scp=84923205762&partnerID=8YFLogxK
U2 - 10.1140/epjb/e2013-40422-7
DO - 10.1140/epjb/e2013-40422-7
M3 - 期刊論文
AN - SCOPUS:84923205762
SN - 1434-6028
VL - 86
JO - European Physical Journal B
JF - European Physical Journal B
IS - 7
M1 - 327
ER -