Circuit implementations and bifurcations of a novel fractional-order chaotic system

According to the fractional order calculus and frequency-domain approximation method, three types of electronic unit circuits of the fractional-order 1/sα with α=0.80-0.99 in steps of 0.01 are first given, the corresponding values of resistance and capacitance are presented. These electronic unit circuits are applied to a novel fourth dimensional fractional-order chaotic system where the dynamical behaviors are investigated in this paper. The experimental results verified the effectiveness of the equivalent circuits.