Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network |
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| Authors: | Sun Xiao-Juan and Lu Qi-Shao |
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| Affiliation: | 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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| Keywords: | neuronal network noise diversity spatial coherence
resonance |
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