Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system

This Letter initiates a hysteresis series switching approach for generating multi-directional multi-scroll chaotic attractors from a threedimensional linear autonomous fractional differential system, including 1-D n-scroll, 2-D (n × m)-grid scroll, and 3-D (n × m × l)-grid scroll chaotic attractors. The underlying dynamical mechanisms of a fractional differential hysteresis system are then further investigated. © 2007 Published by Elsevier B.V.