A family of multi-wing chaotic attractors and its circuit implementation

Abstract

A novel method is presented generating multi-wing butterfly chaotic attractors in this paper. Based on Liu chaotic system, a multi-wing butterfly chaotic system is constructed via designing a new piecewise linear function. The equilibrium point, Lyapunov exponent spectra, bifurcation diagram, phase diagram, frequency spectrum and Poincaré mapping of the system are studied. Furthermore, an electronic circuit is designed to implement the system. The experimental results are in agreement with numerical simulation results, which verify the feasibility and availability of this method.