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Stability control of a fractional-order Morris–Lecar neuronal model via fractional-order washout filter

Author

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  • Kelong Yue

    (��College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China‡Guangdong Provincial Key Laboratory of Traditional Chinese Medicine Informatization, Guangzhou 510405, P. R. China)

  • Renhuan Yang

    (��College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China‡Guangdong Provincial Key Laboratory of Traditional Chinese Medicine Informatization, Guangzhou 510405, P. R. China)

  • Xiuzeng Yang

    (Department of Physics and Electronic Engineering, Guangxi Normal University for Nationalities, Chongzuo 532200, P. R. China)

  • Qingwen Cai

    (��College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China‡Guangdong Provincial Key Laboratory of Traditional Chinese Medicine Informatization, Guangzhou 510405, P. R. China)

  • Chao Shen

    (��College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China‡Guangdong Provincial Key Laboratory of Traditional Chinese Medicine Informatization, Guangzhou 510405, P. R. China)

  • Liu Yang

    (��College of Information Science and Technology, Jinan University, Guangzhou 510632, P. R. China‡Guangdong Provincial Key Laboratory of Traditional Chinese Medicine Informatization, Guangzhou 510405, P. R. China)

Abstract

The bifurcation phenomenon generated in neurons is considered to be the cause of many neurological diseases, thus, lots of investigators have been dedicated to bifurcation control, but most of them only focus on the integer-order neuronal models and control methods. Recently, increasing number of research works have shown that the differential equations of fractional-order are more appropriate for description of the electrical properties of certain nerve cell membranes. In this paper, we employ a fractional-order washout filter to realize bifurcation control for fractional-order Morris–Lecar neuronal model. Computer simulation verifies the effectiveness and improved performance of the proposed method than the integer-order washout filter. In addition, the analysis of the fractional-order controller’s impacts on the model is also presented.

Suggested Citation

  • Kelong Yue & Renhuan Yang & Xiuzeng Yang & Qingwen Cai & Chao Shen & Liu Yang, 2022. "Stability control of a fractional-order Morris–Lecar neuronal model via fractional-order washout filter," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(09), pages 1-11, September.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:09:n:s0129183122501261
    DOI: 10.1142/S0129183122501261
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