Design of multi-directional multi-scroll chaotic attractors based on fractional differential systems

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 × m-grid scroll, and three-directional (3- D) n × m × 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 systems. Furthermore, some underlying dynamical mechanics are briefly investigated for the fractional differential multi-scroll systems.