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Stochastic Evolution Model of Neuronal Oscillator Population Under the Condition of the Variable Higher Order Coupling

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Advances in Cognitive Neurodynamics (II)

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Abstract

In the premise of analysis on the dynamic characteristics of the transmission mechanism among the synapses, this paper modified the coupling term in the P.A. Tass’s stochastic evolution model of neuronal oscillator population, introducing the variable higher order coupling term. Then, we performed the numerical simulation on the modified model. The simulation results show that without the external stimulation, the variable coupling mechanism can induce the transition between different clustering states of the neuronal oscillator population. And a full desynchronization state can exist in the middle of the transition between two different synchronization states induced by the variable coupling mechanism.

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References

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Acknowledgments

Project (10872068, 10672057) supported by National Natural Science Foundation of China (NSFC)

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Authors and Affiliations

  1. Institute for Cognitive Neurodynamics, East China University of Science and Technology, Shanghai, 200237, China

    Xiaodan Zhang, Zhikang Zhang, Xianfa Jiao & Jianting Cao

  2. East China University of Science and Technology, Institute for Cognitive Neurodynamics, 130 Meilong Road, 200237, Shanghai, People’s Republic of China

    Rubin Wang

  3. Department of Mathematics, Hefei University of Technology, Hefei, 230009, China

    Xianfa Jiao

  4. Department of Robotics, Saitama Institute of Technology, 369-0293, Saitama, Japan

    Jianting Cao

Authors
  1. Xiaodan Zhang
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  2. Rubin Wang
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  3. Zhikang Zhang
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  4. Xianfa Jiao
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  5. Jianting Cao
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Corresponding author

Correspondence to Xiaodan Zhang .

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Editors and Affiliations

  1. , Institute for Cognitive Neurodynamics, East China University of Science and Tec, Meilong Road 130, Shanghai, 200237, China, People's Republic

    Rubin Wang

  2. Fudan University, Shanghai, China, People's Republic

    Fanji Gu

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Zhang, X., Wang, R., Zhang, Z., Jiao, X., Cao, J. (2011). Stochastic Evolution Model of Neuronal Oscillator Population Under the Condition of the Variable Higher Order Coupling. In: Wang, R., Gu, F. (eds) Advances in Cognitive Neurodynamics (II). Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9695-1_35

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