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Hopf Bifurcation In Caputo–Hadamard Fractional-Order Differential System

Author

Listed:
  • MOHAMED DOUBBI BOUNOUA

    (Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China)

  • CHUNTAO YIN

    (Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China2Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China)

Abstract

In this paper, the sufficient conditions for the stability of the equilibrium to the fractional-order differential dynamical system with Caputo–Hadamard derivative are investigated. The existence of Hopf bifurcation in two-dimensional fractional dynamical system with a positive parameter is shown. Then, some numerical simulations are presented for a better understanding.

Suggested Citation

  • Mohamed Doubbi Bounoua & Chuntao Yin, 2022. "Hopf Bifurcation In Caputo–Hadamard Fractional-Order Differential System," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-11, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22500153
    DOI: 10.1142/S0218348X22500153
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