Simulation Research of Diode Bridge Fractional Memristive Chaotic Circuit Based on RLC Load
The fractional order chaotic systems have received widespread attention because they have richer dynamic behavior than integer orders.In this paper,the nonlinear resistance in the Chua's circuit is replaced with a diode bridge memristor to con-struct a chaotic circuit,and the circuit simulation results show a double-scroll chaotic attractor.Secondly,the principle of fraction-al calculus is used to generalize the capacitance and inductance in the memristor to the form of fractional order components,and it is verified that the fractional order model conforms to the characteristics of generalized memristors.The influence of excitation source amplitude and frequency on the hysteresis loop of the model is described.Finally,the integer-order memristor in the chaotic circuit based on the RLC diode bridge memristor is replaced with the fractional order model to obtain the model of the fractional order sys-tem.The circuit simulation verifies that the circuit still exhibits a two-scroll chaotic attractor under the given parameters,which fur-ther proves the correctness and feasibility of the theoretical analysis.
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