Solution Analysis of the fractional-order Lu hyperchaotic system Based on Adomian Decomposition ^*

摘要

In this paper, fractional-order Lu chaotic system is studied and simulated by Adomian decomposition method. The dynamic behavior of fractional-order chaotic system from Period to chaos is analyzed from bifurcation diagram and Lyapunov exponent spectrum numerical simulation under single parameter variation of the system. The simulation results show that the higher the fractional chaotic Order of system Q, the lower the system complexity. The simulation results provide theoretical support for the application of the system to chaotic secure communication.