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Complex Dynamic Behaviors in a Discrete Chialvo Neuron Model Induced by Switching Mechanism

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Advances in Neural Networks – ISNN 2020 (ISNN 2020)

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Abstract

Switching policy has been considered in many biological systems and can exhibit rich dynamical behaviors which include different types of the bifurcations and deterministic chaos. The Chialvo neuron model analyzed in this article illustrates how bifurcations and multiple attractors can arise from the combination of the switching mechanism acting on membrane potential. The elementary dynamics of the system without the switching policy are analyzed firstly using phase plane methods. The comparisons of the bifurcation analysis with or without switching mechanism near the fixed points are provided. It can be concluded that the switching policy can be prone to give rise to the coexistence of multiple periodic attractors, which indicates there exist abundant firing modes in the switching system with the same system parameters and different initial values. More complex bifurcation and dynamical behaviors can be observed since applying the switching policy.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grant 11961024, in part by Youth Project of Scientific and Technological Research Program of Chongqing Education Commission (KJQN201901203, KJQN201901218), in part by the Chongqing Technological Innovation and Application Project under Grant cstc2018jszx-cyzdX0171, in part by Chongqing sBasic and Frontier Research Project under Grant cstc2019jcyj-msxm2105, in part by the Science and Technology Research Program of Chongqing Municipal Education Commission under Grant KJQN201900816, in part by Chongqing Social Science Planning Project under Grant 2019BS053.

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Authors and Affiliations

  1. College of Computer Science and Engineering, Chongqing Three Gorges University, Chongqing, China

    Yi Yang, Xiangguang Dai & Liyuan Qi

  2. Key Laboratory of Intelligent Information Processing and Control of Chongqing Municipal Institutions of Higher Education, Chongqing Three Gorges University, Chongqing, China

    Yi Yang, Xiangguang Dai & Liyuan Qi

  3. School of Mathematics and Statistics, Hubei Minzu University, Enshi, China

    Changcheng Xiang

  4. College of Electronics and Information Engineering, Southwest University, Chongqing, China

    Tao Dong

Authors
  1. Yi Yang
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  2. Changcheng Xiang
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  3. Xiangguang Dai
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  4. Liyuan Qi
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  5. Tao Dong
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Corresponding authors

Correspondence to Yi Yang or Tao Dong .

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Editors and Affiliations

  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China

    Min Han

  2. School of Science, Harbin Institute of Technology, Weihai, China

    Sitian Qin

  3. School of Engineering and Applied Sciences, University of the District of Columbia, Washington, DC, USA

    Nian Zhang

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Yang, Y., Xiang, C., Dai, X., Qi, L., Dong, T. (2020). Complex Dynamic Behaviors in a Discrete Chialvo Neuron Model Induced by Switching Mechanism. In: Han, M., Qin, S., Zhang, N. (eds) Advances in Neural Networks – ISNN 2020. ISNN 2020. Lecture Notes in Computer Science(), vol 12557. Springer, Cham. https://doi.org/10.1007/978-3-030-64221-1_6

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  • DOI: https://doi.org/10.1007/978-3-030-64221-1_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-64220-4

  • Online ISBN: 978-3-030-64221-1

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