A new 4-D non-equilibrium fractional-order chaotic system and its circuit implementation

被引：75
作者：
Zhou, Ping [1 ]
Huang, Kun
机构：
[1] Chongqing Univ Posts & Telecommun, Res Ctr Syst Theory & Applicat, Chongqing 400065, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Non-equilibrium fractional-order chaotic system; No chaotic behavior; Dynamical behavior; Computer simulations; Circuit experiment; SCROLL ATTRACTOR; SYNCHRONIZATION;
D O I：
10.1016/j.cnsns.2013.10.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new 4-D fractional-order chaotic system without equilibrium point is proposed in this paper. There is no chaotic behavior for its corresponding integer-order system. By computer simulations, we find complex dynamical behaviors in this system, and obtain that the lowest order for exhibiting a chaotic attractor is 3.2. We also design an electronic circuit to realize this 4-D fractional-order chaotic system and present some experiment results. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：2005 / 2011
页数：7
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