Dynamics analysis and circuit implementation of a new three-dimensional chaotic system

Abstract

In this paper, a novel three-dimensional quadratic autonomous double-wing chaotic system is introduced and analyzed theoretically. The chaotic system is constructed with three control parameters and two different nonlinear items, in which one of the nonlinear term constituted by the sign function and the other nonlinear constituted by the square function. Some of its detailed basic dynamical properties, such as theoretical analysis, numerical simulation, the equilibrium point, Lyapunov exponent (LE) spectrum and bifurcation diagram are investigated either analytically or numerically. Moreover, an analog circuit diagram is designed to realize the new chaotic system. Circuit experiment result of the chaotic attractor is identical to computer simulation, and the chaotic characteristic is verified.