Adomian Decomposition, Dynamic Analysis and Circuit Implementation of a 5D Fractional-Order Hyperchaotic System

In this paper, a class of fractional-order symmetric hyperchaotic systems is studied based on the Adomian decomposition method. Starting from definition Adomian, nonlinear term five-dimensional chaotic system decomposed. At same time, dynamic behavior analyzed by using bifurcation diagrams, Lyapunov exponent spectrum, complexity and attractor phase diagrams. The simulation results show that with decrease fractional order q, increases. Finally, circuit design principle, diagram designed, simulated Multisim. are consistent numerical results, which can be realized, provides foundation for engineering applications systems.