Generating multiscroll chaotic attractors: theories, methods and applications

This paper proposes a new switching control method — saturated function series approach — for gener-ating multi-scroll chaotic attractors. The systematic methodology developed here can create multi-scroll chaotic attractors from a given 3-D linear autonomous system with a saturated function series controller. It includes 1-D n−scroll, 2-D n × m−grid scroll, and 3-D n × m × l−grid scroll chaotic attractors. The chaos generation mechanism in multi-scroll systems is briefly discussed by analyzing the system equilibria.