Design and FPGA implementation of multi-wing chaotic switched systems based on a quadratic transformation

• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: GENERAL
• 页码范围: 267-277
• 页数: 11页
• 语种: 英文
• DOI: 10.1088/1674-1056/abd74c

摘要

Based on a quadratic transformation and a switching function,a novel multi-wing chaotic switched system is pro-posed.First,a 4-wing chaotic system is constructed from a 2-wing chaotic system on the basis of a quadratic transfor-mation.Then,a switching function is designed and by adjusting the switching function,the number and the distribution of the saddle-focus equilibrium points of the switched system can be regulated.Thus,a set of chaotic switched systems,which can produce 6-to-8-12-16-wing attractors,are generated.The Lyapunov exponent spectra,bifurcation diagrams,and Poincare maps are given to verify the existence of the chaotic attractors.Besides,the digital circuit of the multi-wing chaotic switched system is designed by using the Verilog HDL fixed-point algorithm and the state machine control.Finally,the multi-wing chaotic attractors are demonstrated via FPGA platform.The experimental results show that the number of the wings of the chaotic attractors can be expanded more effectively with the combination of the quadratic transformation and the switching function methods.