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Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network |
Sun Xiao-Juan(孙晓娟) and Lu Qi-Shao(陆启韶)† |
Department of Dynamics and Control, Beihang University, Beijing 100191, China |
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Abstract Spatial coherence resonance in a two-dimensional neuronal network induced by additive Gaussian coloured noise and parameter diversity is studied. We focus on the ability of additive Gaussian coloured noise and parameter diversity to extract a particular spatial frequency (wave number) of excitatory waves in the excitable medium of this network. We show that there exists an intermediate noise level of the coloured noise and a particular value of diversity, where a characteristic spatial frequency of the system comes forth. Hereby, it is verified that spatial coherence resonance occurs in the studied model. Furthermore, we show that the optimal noise intensity for spatial coherence resonance decays exponentially with respect to the noise correlation time. Some explanations of the observed nonlinear phenomena are also presented.
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Received: 08 September 2009
Revised: 06 October 2009
Accepted manuscript online:
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PACS:
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05.40.Ca
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(Noise)
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.60.-k
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(Transport processes)
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Fund: Project supported by the National
Natural Science Foundation of China (Grant No.~10872014). |
Cite this article:
Sun Xiao-Juan(孙晓娟) and Lu Qi-Shao(陆启韶) Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network 2010 Chin. Phys. B 19 040504
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