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Delay-aided stochastic multiresonances on scale-free FitzHugh－Nagumo neuronal networks |
| Gan Chun-Biao(甘春标)a), Perc Matjažb), and Wang Qing-Yun(王青云)c)d)† |
| a Institute of Applied Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China; b Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška Cesta 160, SI-2000 Maribor, Slovenia; c School of Aeronautic and Engineering Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, China; dSchool of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Huhhot 010071, China |
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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.
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Received: 11 June 2009
Revised: 16 October 2009
Accepted manuscript online:
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PACS:
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87.85.Wc
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(Neural engineering)
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87.85.Xd
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(Dynamical, regulatory, and integrative biology)
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87.18.Sn
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(Neural networks and synaptic communication)
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89.75.Hc
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(Networks and genealogical trees)
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| 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(甘春标), Perc Matjaž, and Wang Qing-Yun(王青云) Delay-aided stochastic multiresonances on scale-free FitzHugh－Nagumo neuronal networks 2010 Chin. Phys. B 19 040508
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