Topological horseshoe analysis and field-programmable gate array implementation of a fractional-order four-wing chaotic attractor

被引：1
|
作者：
董恩增 [1 ]
王震 [1 ]
于晓 [1 ]
陈增强 [2 ]
王增会 [3 ]
机构：
[1] Tianjin Key Laboratory For Control Theory & Applications in Complicated Systems, Tianjin University of Technology
[2] Department of Automation, Nankai University
[3] Department of Electrical and Mining Engineering, University of South Africa
来源：
Chinese Physics B | 2018年 / 01期
基金：
新加坡国家研究基金会; 中国国家自然科学基金;
关键词：
fractional-order chaotic system; Poincaré; topological horseshoe; field-programmable gate array(FPGA);
D O I：
暂无
中图分类号：
O415.5 [混沌理论];
学科分类号：
摘要：
We present a fractional-order three-dimensional chaotic system, which can generate four-wing chaotic attractor. Dynamics of the fractional-order system is investigated by numerical simulations. To rigorously verify the chaos properties of this system, the existence of horseshoe in the four-wing attractor is presented. Firstly, a Poincare′ section is selected properly, and a first-return Poincare′ map is established. Then, a one-dimensional tensile horseshoe is discovered, which verifies the chaos existence of the system in mathematical view. Finally, the fractional-order chaotic attractor is implemented physically with a field-programmable gate array(FPGA) chip, which is useful in further engineering applications of information encryption and secure communications.
引用
收藏
页码：304 / 310
页数：7
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