Stochastic resonance on excitable small-world networks via a pacemaker

Abstract

We show that the correlation between the frequency of subthreshold pacemaker activity and the response of an excitable array is resonantly dependent on the intensity of additive spatiotemporal noise. Thereby, the effect of the underlying network, defining the interactions among excitable units, largely depends on the coupling strength. Only for intermediate coupling strengths is the small world property able to enhance the stochastic resonance, whereas for smaller and larger couplings the impact of the transition from diffusive to random networks is less profound. Thus, the optimal interplay between a localized source of weak rhythmic activity and the response of the whole array demands a delicate balance between the strength of excitation transfer and the effectiveness of the network structure to support it.

Keywords

stohastična resonanca;mali-svet mreže;kardiologija;nevrofiziologija;nelinearni dinamični sistemi;prostorsko-časovni pojavi;stochastic resonance;small-world networks;cardiology;neurophysiology;nonlinear dynamical systems;spatiotemporal phenomena;

Data

Language:	English
Year of publishing:	2007
Typology:	1.01 - Original Scientific Article
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
UDC:	519.2
COBISS:	12064534
ISSN:	1539-3755
Views:	1541
Downloads:	81
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary keywords:	stohastična resonanca;mali-svet mreže;kardiologija;nevrofiziologija;nelinearni dinamični sistemi;prostorsko-časovni pojavi;
URN:	URN:SI:UM:
Pages:	str. 066203-1-066203-7
Volume:	76
Issue:	6
Chronology:	2007
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;probability;mathematical statistics;verjetnost;matematična statistika;
ID:	1019728