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Detection of ordered wave in the networks of neurons with changeable connection

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Abstract

The probability of long-range connection among neurons could be changeable in biological neuronal networks. In this paper, the probability of long-range connection between neurons is not fixed at a constant but varies in a numerical region (⩽ p 0), and then the collective behaviors of neurons are detected. A statistical factor in the two-dimensional space is used to detect the phase transition and robustness of spiral wave in the active network of neurons. It is found that the development of spatiotemporal pattern depends on the numerical region (⩽ p 0) for the probability of long-range connection. Coherence resonance-like behavior is observed due to the fluctuation in the long-range probability. Spiral waves emerge to occupy the network of neurons under an optimized probability of long-range connection, and it shows certain robustness in weak channel noise.

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Authors and Affiliations

  1. Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China

    Jun Ma

  2. School of Aerospace, Xi’an Jiaotong University, Xi’an, 710049, China

    Ying Wu

  3. School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210046, China

    NingJie Wu

  4. Information Engineering School, Southwest University of Science and Technology, Mianyang, 621000, China

    HaiYan Guo

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  1. Jun Ma
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  2. Ying Wu
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  3. NingJie Wu
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  4. HaiYan Guo
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Correspondence to Jun Ma.

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Ma, J., Wu, Y., Wu, N. et al. Detection of ordered wave in the networks of neurons with changeable connection. Sci. China Phys. Mech. Astron. 56, 952–959 (2013). https://doi.org/10.1007/s11433-013-5070-0

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  • DOI: https://doi.org/10.1007/s11433-013-5070-0

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