20.500.12556/DKUM-60113 Pacemaker-driven stochastic resonance on diffusive and complex networks of bistable oscillators We study the phenomenon of stochastic resonance on diffusive, small-world and scale-free networks consisting of bistable overdamped oscillators. Important thereby is the fact that the external subthreshold periodic forcing is introduced only to a single oscillator of the network. Hence, the forcing acts as a pacemaker trying to impose its rhythm on the whole network through the unit to which it is introduced. Without the addition of additive spatiotemporal noise, however, the whole network, including the unit that is directly exposed to the pacemaker, remains trapped forever in one of the two stable steady states of the local dynamics. We show that the correlation between the frequency of subthreshold pacemaker activity and the response of the network is resonantly dependent on the intensity of additive noise. The reported pacemaker-driven stochastic resonance depends most significantly on the coupling strength and the underlying network structure. Namely, the outreach of the pacemaker obeys the classic diffusion law in the case of nearest-neighbor interactions, thus being proportional to the square root of the coupling strength, whereas it becomes superdiffusive by an appropriate small-world or scale-free topology of the interaction network. In particular, the scale-free topology is identified as being optimal for the dissemination of localized rhythmic activity across the whole network. Also, we show that the ratio between the clustering coefficient and the characteristic path length is the crucial quantity defining the ability of a small-world network to facilitate the outreach of the pacemaker-emitted subthreshold rhythm. We additionally confirm these findings by using the FitzHugh-Nagumo excitable system as an alternative to the bistable overdamped oscillator. noise bistable dynamics stochastic simulations complex networks šum bistabilna dinamika stohastične simulacije kompleksne mreže true true true Angleški jezik Slovenski jezik Članek v reviji 2016-06-09 03:08:47 2017-07-03 09:29:42 2024-05-28 13:15:03 2019-07-11 11:36:07 2008 0 0 str. 1-22 Letn. 10 2008 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1367-2630 519.83:53 21135621 12323606 10.1088/1367-2630/10/5/053008 1367-2630 URN:SI:UM:DK:YVV7AGDE New_Journal_of_Physics_2008_Perc,_Gosak_Pacemaker-driven_stochastic_resonance_on_diffusive_and_complex_networks_of_bistable_oscillators.pdf New_Journal_of_Physics_2008_Perc,_Gosak_Pacemaker-driven_stochastic_resonance_on_diffusive_and_complex_networks_of_bistable_oscillators.pdf 1 9A9C716BFABAE0CB3793370A672574C9 e021eda6280d0b11d81f349d985d92f320060ce41a85b1c9a92da9477eb90e79 55630de2-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=113448 http://stacks.iop.org/1367-2630/10/i=5/a=053008?key=crossref.552df57d70c918cb537d60ee721027d4 1 https://dk.um.si/Dokument.php?lang=slv&id=93928 Fakulteta za naravoslovje in matematiko 0 0 0