학술논문
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
Document Type
Academic Journal
Author
Source
信息技术 / Information Technology. (1):115-121
Subject
Language
Chinese
ISSN
1009-2552
Abstract
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.
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.
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.