Design of multi-scroll chaotic attractors using nonlinear exponential function

In this paper, nonlinear exponential function series is designed that can generate one-directional and two-directional multi-scroll chaotic attractors in Chua system. Then, some dynamic characteristics of these multi-scroll chaotic systems including phase diagram, equilibrium point, bifurcation diagram, Lyapunov exponent and Poincaré surface of section are analyzed by MATLAB. The numerical simulation is consistent with the theoretical analysis, which shows the effectiveness of this approach.