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 × m-grid scroll, and three-directional (3D) 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.

• Type: Conference
• Year: 2007
• Where: ISCAS
• Authors: Weihua Deng, Jinhu Lu
• Keywords: Chaotic Attractors, ISCAS 2007, M-grid Scroll, Multi-scroll Chaotic Attractors