Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
