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

• 来源期刊: 中国物理B（英文版）
• 关键词: fractional-order chaotic system Poincar é map topological horseshoe field-programmable gate array (FPGA)
• 年，卷（期）: 2018,（1）
• 页码范围: 300-306
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/1/010503

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 Poincaré section is selected properly, and a first-return Poincaré 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.