Fractional-order design of a novel non-autonomous laser chaotic system with compound nonlinearity and its circuit realization

Abstract

In this paper, a 3-D non-autonomous fractional memristive laser chaotic system which contains a compound nonlinear term multiplied by an absolute value function and a sine function is proposed. The compound nonlinear term and the differential equations of the system are decomposed and solved by the ADM. The chaotic feature of this system is studied by bifurcation diagram and Lyapunov exponential spectrum, and the multiple stability of the system is discovered and analyzed. Besides, the analog simulation circuit and digital DSP corresponding to the new fractional-order memristive system are designed, and this chaotic system is verified by two implementation methods. This research results will provide new research ideas and a theoretical basis for the circuit realization of non-autonomous chaotic systems.