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Delay-aided stochastic multiresonances on scale-free FitzHugh-Nagumo neuronal networks
引用本文:甘春标,Perc Matja{v,王青云. Delay-aided stochastic multiresonances on scale-free FitzHugh-Nagumo neuronal networks[J]. 中国物理 B, 2010, 19(4): 40508-040508
作者姓名:甘春标  Perc Matja{v  王青云
作者单位:Institute of Applied Mechanics, School of Aeronautics andAstronautics, Zhejiang University, Hangzhou 310027, China;Department of Physics, Faculty of Natural Sciences and Mathematics,University of Maribor, Koro{v ska Cesta 160, SI-{rm2000 Maribor, Slovenia;School of Aeronautic and Engineering Science, Beijing University ofAeronautics and Astronautics, Beijing 100191, China;School of Statistics and Mathematics, Inner Mongolia Finance andEconomics College, Huhhot 010071, China
基金项目:Project supported by the NationalNatural Science Foundation of China (Grant Nos.~10672140, 10972001and 10832006). Matja{v z} Perc individually acknowledges the Supportfrom the Slovenian Research Agency (Grant Nos.~Z1-9629 andZ1-2032-2547).
摘    要:
The stochastic resonance in paced time-delayed scale-free FitzHugh-Nagumo(FHN) neuronal networks is investigated.We show that an intermediate intensity of additive noise is able to optimally assist the pacemaker in imposing its rhythm on the whole ensemble.Furthermore,we reveal that appropriately tuned delays can induce stochastic multiresonances,appearing at every integer multiple of the pacemaker’s oscillation period.We conclude that fine-tuned delay lengths and locally acting pacemakers are vital for ensuring optimal conditions for stochastic resonance on complex neuronal networks.

关 键 词:neuronal  networks  delay  stochastic  resonance
收稿时间:2009-06-11

Delay-aided stochastic multiresonances on scale-free FitzHugh-Nagumo neuronal networks
Gan Chun-Biao,Perc Matjaz,and Wang Qing-Yun. Delay-aided stochastic multiresonances on scale-free FitzHugh-Nagumo neuronal networks[J]. Chinese Physics B, 2010, 19(4): 40508-040508
Authors:Gan Chun-Biao  Perc Matjaz  and Wang Qing-Yun
Affiliation:Department of Physics, Faculty of Natural Sciences and Mathematics,University of Maribor, Koro{v ska Cesta 160, SI-{rm2000 Maribor, Slovenia; Institute of Applied Mechanics, School of Aeronautics andAstronautics, Zhejiang University, Hangzhou 310027, China; School of Aeronautic and Engineering Science, Beijing University ofAeronautics and Astronautics, Beijing 100191, China;School of Statistics and Mathematics, Inner Mongolia Finance andEconomics College, Huhhot 010071, China
Abstract:
The stochastic resonance in paced time-delayed scale-freeFitzHugh--Nagumo (FHN) neuronal networks is investigated. We showthat an intermediate intensity of additive noise is able tooptimally assist the pacemaker in imposing its rhythm on the wholeensemble. Furthermore, we reveal that appropriately tuned delays caninduce stochastic multiresonances, appearing at every integermultiple of the pacemaker's oscillation period. We conclude thatfine-tuned delay lengths and locally acting pacemakers are vital forensuring optimal conditions for stochastic resonance on complexneuronal networks.
Keywords:neuronal networks   delay   stochastic resonance
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