| Volume 5, Number 2, 2015, Pages 168-176 DOI：10.11948/2015015 |
| A topological horseshoe in a fractional-order Qi four-wing chaotic system |
| Yanling Guo,Guoyuan Qi |
| Keywords:Fractional-order system, topological horseshoe, Poincare map, topologcal entropy, Qi four-wing chaotic system. |
| Abstract: |
| A fractional-order Qi four-wing chaotic system is present based on the Grunwald-Letnikov denition. The existence of topological horseshoe in a fractional chaotic system is analyzed by utilizing topological horseshoe theory. A Poincare section is properly chosen to obtain the Poincare map which is proved to be semi-conjugate to a 2-shift map, implying that the fractional-order Qi four-wing chaotic system exhibits chaos. |
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