Design of Multi-Directional Multi-Scroll Chaotic Attractors Based on Fractional Differential Systems

Abstract

A novel approach is proposed for generating multidirectional multi-scroll chaotic attractors from the fractional differential systems, including one-directional (1-D) n-scroll, two-directional (2-D) n times m-grid scroll, and three-directional (3-D) n times m times l-grid scroll chaotic attractors. It is the first time in the literature to report the multi-directional multi-scroll chaotic attractors from a fractional differential system. Furthermore, some underlying dynamical mechanics are briefly investigated for the fractional differential multi-scroll systems.