Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 910189, 6 pages
http://dx.doi.org/10.1155/2013/910189
Research Article

A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points

Ping Zhou,1,2 Kun Huang,2 and Chun-de Yang1

1Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 18 February 2013; Accepted 21 March 2013

Academic Editor: Xiao-Song Yang

Copyright © 2013 Ping Zhou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor. A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system. Numerical simulations is verified the effectiveness of the proposed scheme.