Stochastic resonance of localized activity driven by common noise |
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| Authors: | Kosuke Hamaguchi Masato Okada Shigeru Kubota Kazuyuki Aihara |
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| Institution: | (1) RIKEN BSI, 2-1 Hirosawa Wako, Saitama, Japan;(2) Department of Complexity Science and Engineering, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa Chiba, 277-8561, Japan;(3) Department of Bio-System Engineering, Yamagata University, 4-3-16 Jonan, Yonezawa Yamagata, 992-8510, Japan;(4) Institute of Industrial Science, University of Tokyo and ERATO Aihara Complexity Modeling Project JST, 4-6-1 Komaba, Meguro, Tokyo 153-8505, Japan |
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| Abstract: | We study the influence of spatially correlated noise on the transient dynamics of a recurrent network with Mexican-Hat-type connectivity. We derive the closed form of the order parameter functional in the thermodynamical limit of neuron number N. Our analysis shows that network dynamics is qualitatively changed by the presence of common noise. Network dynamics driven by common noise obtains the global level of fluctuation, which is not observed in a network driven by independent noise only. We show that the optimal level of global fluctuation enhances the transition from non-localized firing states to spatially localized firing states, and also enhances the rotation speed of localized activity. |
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