Nonlinear Dynamics of Hyper-chaotic Complex Lu System

Abstract

Abstract. We propose the fractional-order complex Lu system. Based on theoretical analysis and computer simulations, rich dynamics behavior of the system is investigated in detail. First of all, symmetry and the stability of equilibrium points are discussed. In addition, bifurcations with variation of different system parameters are discussed for diverse derivative orders. Chaotic attractors are further verified dynamical behavior of the system is very abundant.