文章基本信息

标题：A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points
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作者：Ping Zhou ; Kun Huang ; Chun-de Yang 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2013
卷号：2013
DOI：10.1155/2013/910189
出版社：Hindawi Publishing Corporation
摘要：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.