Dynamical Analysis of the Fractional-Order Memristive Band Pass Filter Chaotic Circuit

In this paper, a memristive band pass filter chaotic circuit system was designed based on a band pass filter circuit. The system numerical solutions were calculated by using the Adomian decomposition (ADM) algorithm. On this basis, the dynamical characteristics of the system were analyzed by means of bifurcation diagram, Lyapunov exponent spectrum, phase diagram of chaotic attractor, Poincare section, SE (spectral entropy) and C0 complexity algorithm. The results of analysis show that the fractional-order memristive chaotic system has richer dynamical behaviors compared with the integer order system. This paper provides a theoretical basis for the application of fractional-order memristor chaotic circuits in the fields of secure communication and information security.

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