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Chin. Phys. B, 2010, Vol. 19(4): 040508    DOI: 10.1088/1674-1056/19/4/040508
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Delay-aided stochastic multiresonances on scale-free FitzHugh-Nagumo neuronal networks

Perc Matja?a, Gan Chun-Biaob, Wang Qing-Yunc
a Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koro{\v ska Cesta 160, SI-{\rm 2000 Maribor, Slovenia; b Institute of Applied Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China; c School of Aeronautic and Engineering Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;School of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Huhhot 010071, China
Abstract  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.
Keywords:  neuronal networks      delay      stochastic resonance  
Received:  11 June 2009      Revised:  16 October 2009      Accepted manuscript online: 
PACS:  87.85.Wc (Neural engineering)  
  87.85.Xd (Dynamical, regulatory, and integrative biology)  
  87.18.Sn (Neural networks and synaptic communication)  
  89.75.Hc (Networks and genealogical trees)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~10672140, 10972001 and 10832006). Matja{\v z} Perc individually acknowledges the Support from the Slovenian Research Agency (Grant Nos.~Z1-9629 and Z1-2032-2547).

Cite this article: 

Gan Chun-Biao, Perc Matja?, Wang Qing-Yun Delay-aided stochastic multiresonances on scale-free FitzHugh-Nagumo neuronal networks 2010 Chin. Phys. B 19 040508

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