One new fractional-order chaos system and its circuit simulation by electronic workbench
Zhou Ping(周平)a)b), Cheng Xue-Feng(程雪峰)b), and Zhang Nian-Ying(张年英)b)
aInstitute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; b Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract This paper proposes a new chaotic system and its fractional-order chaotic system. The necessary condition for the existence of chaotic attractors in this new fractional-order system is obtained. It finds that this new fractional-order system is chaotic for $q>0.783$ if the system parameter $m$=6. The chaotic attractors for $q$=0.8, and $q$=0.9 are obtained. A circuit is designed to realize its fractional-order chaos system for $q$=0.9 by electronic workbench.
Received: 02 January 2008
Revised: 14 February 2008
Accepted manuscript online:
Fund: Project supported by Chongqing Education Committee of China
(Grant No KJ070502).
Cite this article:
Zhou Ping(周平), Cheng Xue-Feng(程雪峰), and Zhang Nian-Ying(张年英) One new fractional-order chaos system and its circuit simulation by electronic workbench 2008 Chin. Phys. B 17 3252
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