Volume 5, Number 2, 2015, Pages 168176 DOI：10.11948/2015015 
A topological horseshoe in a fractionalorder Qi fourwing chaotic system 
Yanling Guo,Guoyuan Qi 
Keywords:Fractionalorder system, topological horseshoe, Poincare map, topologcal entropy, Qi fourwing chaotic system. 
Abstract: 
A fractionalorder Qi fourwing chaotic system is present based on the GrunwaldLetnikov 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 semiconjugate to a 2shift map, implying that the fractionalorder Qi fourwing chaotic system exhibits chaos. 
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