Dynamic analysis and FPGA implementation of a 5D multi-wing fractional-order memristive chaotic system with hidden attractors

In this paper, inspired by a 3D multi-wing chaotic system proposed by Sahoo et al. in 2022, we presented a 5D multi-wing fractional-order memristive chaotic system with hidden attractors by increasing dimensionality and introducing memristor. Firstly, the equilibrium point of the 5D fractional-order memristive chaotic system was analyzed, and it was found that it has hidden attractors. The adomian decomposition algorithm was used to decompose the nonlinear term of the system. Then, the dynamic behavior of the system was analyzed using phase diagrams, Lyapunov exponent spectrums, and bifurcation diagrams. The hardware circuit of the 5D multi-wing fractional-order chaotic system was implemented using a field programmable gate array (FPGA) and experimentally verified. The experimental results are consistent with the numerical simulation results in MATLAB. Finally, the good randomness of the system was verified through NIST testing.