Multistability analysis, coexisting multiple attractors, and FPGA implementation of Yu-Wang four-wing chaotic system
type: Item
instance of: scholarly article
title: Multistability analysis, coexisting multiple attractors, and FPGA implementation of Yu-Wang four-wing chaotic system
zbMATH Open document ID: 1459.34094
DOI: 10.1155/2020/7530976
author: Fei Yu
author: Li Liu
author: Hui Shen
author: Zinan Zhang
author: Shuo Cai
author: Zelin Deng
author: Qiuzhen Wan
author: Yuanyuan Huang
published in: Mathematical Problems in Engineering
publication date: 2020-10-12T00:00:00Z
review text: Summary: In this paper, we further study the dynamic characteristics of the Yu-Wang chaotic system obtained by \textit{F. Yu} et al. [``A 4-D chaos with fully qualified four-wing type'', Acta Phys. Sin. 61, No. 2, 020506 (2012; \url{doi:10.7498/aps.61.020506})]. The system can show a four-wing chaotic attractor in any direction, including all 3D spaces and 2D planes. For this reason, our interest is focused on multistability generation and chaotic FPGA implementation. The stability analysis, bifurcation diagram, basin of attraction, and Lyapunov exponent spectrum are given as the methods to analyze the dynamic behavior of this system. The analyses show that each system parameter has different coexistence phenomena including coexisting chaotic, coexisting stable node, and coexisting limit cycle. Some remarkable features of the system are that it can generate transient one-wing chaos, transient two-wing chaos, and offset boosting. These phenomena have not been found in previous studies of the Yu-Wang chaotic system, so they are worth sharing. Then, the RK4 algorithm of the Verilog 32-bit floating-point standard format is used to realize the autonomous multistable 4D Yu-Wang chaotic system on FPGA, so that it can be applied in embedded engineering based on chaos. Experiments show that the maximum operating frequency of the Yu-Wang chaotic oscillator designed based on FPGA is 161.212 MHz.
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 7259661
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/7530976
OpenAlex ID: W3082222058
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description: scientific article; zbMATH DE number 7259661