A Fractional-order Multi-scroll Chaotic System

The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, a novel fractional-order multi-scroll chaotic system with a rich variety of dynamical behaviors is proposed. We numerically study the dynamical behaviors of this fractional-order system. Chaotic behaviors can be found in this system when the order is lower than 3 and multi-scroll chaotic attractors similar to integer order system can be generated. Until no chaotic behaviors are found in this fractionalorder system, the number of multi-scroll chaotic attractors is decreasing with the reducing of system order. Further calculations indicate that the lowest order for chaos to exist in the considered system is 2.1.

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