HOPF BIFURCATION IN CAPUTO–HADAMARD FRACTIONAL-ORDER DIFFERENTIAL SYSTEM.

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. [ABSTRACT FROM AUTHOR]