信息技术2024,Issue(1) :115-121.DOI:10.13274/j.cnki.hdzj.2024.01.018

一种分数阶混沌系统的通用增强型FPGA实现

A universal enhanced FPGA implementation of the fractional-order chaotic system

彭代鑫 彭良玉 张学丰
信息技术2024,Issue(1) :115-121.DOI:10.13274/j.cnki.hdzj.2024.01.018
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一种分数阶混沌系统的通用增强型FPGA实现

A universal enhanced FPGA implementation of the fractional-order chaotic system

彭代鑫 1彭良玉 1张学丰1
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作者信息

  • 1. 湖南师范大学物理与电子科学学院,长沙 410081
  • 折叠

摘要

针对目前分数阶混沌系统的FPGA设计实现通用程度不高的问题,文中给出了一种通用增强型FPGA算法.首先给出基于G-L定义的分数阶微分算法原理,再将一个已知的三维整数阶混沌系统扩展至分数阶多涡卷混沌系统,通过平衡点、分岔图及最大李氏指数谱分析了其动力学特性,最后运用可变长度移位寄存器,设计分数阶微分的通用增强型FPGA算法,并将其应用至分数阶多涡卷混沌系统.实验结果与数值仿真结果一致,该算法当修改参数时,无需设计新的代码,并能够动态调节记忆长度,且对步长没有严格限制.

Abstract

In order to solve the problem of the low degree of general purpose of the FPGA design and imple-mentation of fractional-order chaotic system,a universal enhanced FPGA algorithm is presented in this pa-per.Firstly,the principle of fractional differential algorithm based on G-L definition is given.Then,a known three-dimensional integer-order chaotic system is extended to fractional multi-scroll chaotic system,and its dynamic characteristics are analyzed by means of equilibrium points,bifurcation diagrams and maxi-mum Lyapunov exponential spectrum.Finally,a universal enhanced FPGA algorithm of fractional-order dif-ferential is designed by using variable length shifting registers,and it is applied to the fractional-order multi-scroll chaotic system.Experiment results are consistent with the results of numerical simulations,when modifying parameters in this algorithm,there is no need to design a new code,and the memory length can be dynamically adjusted,and there is no strict limit on step.

关键词

分数阶/多涡卷/混沌系统/FPGA

Key words

fractional-order/multi-scroll/chaotic system/FPGA

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出版年

2024
信息技术
黑龙江省信息技术学会 中国电子信息产业发展研究院 中国信息产业部电子信息中心

信息技术

CSTPCD
影响因子:0.413
ISSN:1009-2552
参考文献量4
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