Topological horseshoe analysis and circuit realization for a fractional-order Lu system

被引：33
|
作者：
Jia, Hong-Yan [1 ]
Chen, Zeng-Qiang [2 ]
Qi, Guo-Yuan [3 ]
机构：
[1] Tianjin Univ Sci & Technol, Dept Automat, Tianjin 300222, Peoples R China
[2] Nankai Univ, Dept Automat, Tianjin 300071, Peoples R China
[3] Tshwane Univ Technol, FSATI Dept Elect Engn, ZA-0001 Pretoria, South Africa
来源：
NONLINEAR DYNAMICS | 2013年 / 74卷 / 1-2期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Chaos; Bifurcation; Topological horseshoe; Fractional-order system; Analog circuit; FREQUENCY-DOMAIN APPROXIMATION; CHAOTIC SYSTEM; NONLINEAR-SYSTEMS; NEURAL-NETWORKS; SYNCHRONIZATION; HYPERCHAOS; IMPLEMENTATION; EXISTENCE; EQUATIONS; ATTRACTORS;
D O I：
10.1007/s11071-013-0958-9
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The paper first discusses a newly reported fractional-order Lu system of order as low as 2.7 and shows its chaotic characteristics by numerical simulations. Then by using the topological horseshoe theory and computer-assisted proof, the existence of chaos in the system is verified theoretically. Finally, an analog hardware circuit is made for the fractional-order system, and the observed results demonstrate that the fractional-order Lu system is chaotic in physical experiment.
引用
收藏
页码：203 / 212
页数：10
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