AUTHOR=Wei Zhangzhi , Zhang Xin TITLE=Chaos in the Shimizu-Morioka Model With Fractional Order JOURNAL=Frontiers in Physics VOLUME=9 YEAR=2021 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2021.636173 DOI=10.3389/fphy.2021.636173 ISSN=2296-424X ABSTRACT=

The investigation of dynamical behaviors for fractional-order chaotic systems is a new trend recently. This article is numerically concerned with the Shimizu-Morioka model with a fractional order. We find that chaos exists in the fractional-order model with order less than three by utilizing the fractional calculus techniques, and some phase diagrams are also constructed.