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Phase synchronization dynamics of coupled neurons with coupling phase in the electromagnetic field

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Abstract

Based on the law of electromagnetic theory, phase synchronization of coupled extended Hindmarsh–Rose neurons with magnetic and electrical couplings is discussed. It is found that the threshold for the coupling strength to reach phase synchronization is gradually smaller when the coupling phase is increased under the same stimulus current. Under the same coupling phase, the coupling strength to reach phase synchronization is almost increasing gradually with increasing the stimulus current, no matter in what state the neuron is. Our recent findings are significant and helpful for further understanding the collective behaviors of neuronal system including comprehensive physical mechanisms and information transmissions.

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Acknowledgements

This work is support by the National Natural Science Foundation of China (Grant No. 11502073) and Scientific Research Fund of Henan Provincial Education Department (Grant No. 14A110004) and Doctoral Foundation of Henan Polytechnic University (Grant No. B2012-107).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China

    Yong Zhao

  2. The People’s Hospital of Jiaozuo City, Jiaozuo, China

    Xiaoyan Sun

  3. Department of Physics, Humboldt University of Berlin, Berlin, Germany

    Yong Zhao & Jürgen Kurths

  4. Potsdam Institute for Climate Impact Research, Potsdam, Germany

    Yong Zhao, Yang Liu & Jürgen Kurths

  5. Department of Computer Science, Technische Universität Berlin, Berlin, Germany

    Yang Liu

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  1. Yong Zhao
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  2. Xiaoyan Sun
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  3. Yang Liu
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  4. Jürgen Kurths
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Correspondence to Yong Zhao.

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Zhao, Y., Sun, X., Liu, Y. et al. Phase synchronization dynamics of coupled neurons with coupling phase in the electromagnetic field. Nonlinear Dyn 93, 1315–1324 (2018). https://doi.org/10.1007/s11071-018-4261-7

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  • DOI: https://doi.org/10.1007/s11071-018-4261-7

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