Dynamics of a Fractional-Order Memristive Chaotic System and Its Applications

To ensure high-security levels in secure communication, we propose a Fractional-Order Memristor (FOM) chaotic system with a complex nonlinear term combined with an absolute value function. Using the Adomian Decomposition Method, we decompose and analyze the FOM system of the nonlinear term and differential equations. The dynamics of the system is analyzed by using Lyapunov exponents, bifurcation diagrams, basin attractors, complexity analysis, and phase diagrams. The results demonstrate that the proposed system exhibits rich nonlinear dynamics, high complexity, and persistent chaotic behavior over a broad range of the fractional-order [Formula: see text]. In addition, we investigate the synchronization between the FOM chaotic systems and a hidden attractor. Finally, an analog circuit of the FOM system is implemented, demonstrating that the phase diagrams obtained are consistent with that of the simulation analysis.