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

作     者：董恩增 王震 于晓 陈增强 王增会 

作者机构：Tianjin Key Laboratory For Control Theory & Applications in Complicated Systems Tianjin University of Technology Department of Automation Nankai University Department of Electrical and Mining Engineering University of South Africa 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2018年第27卷第1期

页      面：300-306页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.61502340 and 61374169) the Application Base and Frontier Technology Research Project of Tianjin,China(Grant No.15JCYBJC51800) the South African National Research Foundation Incentive Grants(Grant No.81705) 

主　　题：fractional-order chaotic system Poincar6 map topological horseshoe field-programmable gatearray (FPGA) 

摘      要：We present a fractional-order three-dimensional chaotic system, which can generate four-wing chaotic attractor. Dy- namics 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 Poincar6 section is selected properly, and a first-return Poincar6 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 imple- mented physically with a field-programmable gate array （FPGA） chip, which is useful in further engineering applications of information encryption and secure communications.