HOPF BIFURCATION IN CAPUTO–HADAMARD FRACTIONAL-ORDER DIFFERENTIAL SYSTEM

Mohamed Doubbi Bounoua () and Chuntao Yin
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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

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-11

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.

Keywords: Caputo–Hadamard Derivative; Stability; Hopf Bifurcation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500153

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