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

被引：2
|
作者：
Hong-Yan Jia
Zeng-Qiang Chen
Guo-Yuan Qi
机构：
[1] Tianjin University of Science and Technology,Department of Automation
[2] Nankai University,Department of Automation
[3] Tshwane University of Technology,F’SATI/Department of Electrical Engineering
来源：
Nonlinear Dynamics | 2013年 / 74卷
关键词：
Chaos; Bifurcation; Topological horseshoe; Fractional-order system; Analog circuit;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper first discusses a newly reported fractional-order Lü 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 Lü system is chaotic in physical experiment.
引用
收藏
页码：203 / 212
页数：9
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