A Four-Scroll Chaotic Generator based on Two Nonlinear Functions

Abstract

This paper presents a new three dimensions four-scroll chaotic generator with two unique nonlinear functions. The modified jerk model is utilized with the traditional signum and modified rectangular functions. The proposed system can generate two-scroll and four-scroll attractors by adjusting only one coefficient (k). The fundamental dynamical behaviors of the system are investigated by the bifurcation, Lyapunov spectrum, and Kaplan-Yorke dimension. The one chaotic system can generate double-scroll and complex four-scroll chaotic attractors with variations of a single parameter and without multipliers that are highlighted in this paper. MATLAB carries out the simulation results, and the results confirmed that this is a new three dimensions chaotic jerk model which deserves further detailed investigation.