Analysis of the dynamical characteristics of fractional-order chaotic system and its DSP realization

In this paper, the 4D fractional-order chaotic system is devised, and the accurate numerical solution of the system is obtained based on the CADM algorithm. The dynamical characteristics of the fractional-order chaotic system are analyzed by employing bifurcation diagram, Lyapunov exponential spectrum, 0-1 test and the poincaré section. Meanwhile, the ranges of parameters of the fractional-order chaotic system are given in practical application through the SE and C0 complexity algorithm. The results demonstrate that the fractional-order chaotic system with the complex dynamical behaviors. Finally, digital circuit of the chaotic system is implemented on the DSP platform. This study offers a practical and theoretical basis for the application of fractional-order chaotic system in the safe communication and other fields.