Solution and dynamics analysis of a fractional-order hyperchaotic system

Numerical solution and chaotic behaviors of the fractional-order simplified Lorenz hyperchaotic system are investigated in this paper. The solution of the fractional-order hyperchaotic system is obtained by employing Adomian decomposition method. Lyapunov characteristic exponents algorithm for the fractional-order chaotic system is designed. Dynamics of the fractional-order hyperchaotic systemare analyzed by means of bifurcation diagrams, Lyapunov characteristic exponents, C-0 complexity, and chaos diagram. It shows that this systemhas rich dynamical behaviors, and it ismore complex when the fractional order q is small. It lays a foundation for the practical application of the fractional-order hyperchaotic systems. Copyright (C) 2015 JohnWiley & Sons, Ltd.