电子元件与材料2023，Vol.42Issue(11)：1340-1347,8.DOI:10.14106/j.cnki.1001-2028.2023.0071
基于Adomian分解法的分数阶忆阻混沌电路分析及其FPGA实现
Analysis and FPGA implementation of fractional-order memristive chaotic circuit based on Adomian decomposition
摘要
Abstract
Compared with integer-order systems,fractional-order chaotic systems,based on memristors,is more accurate to describe the dynamic behavior of a system.Firstly,a chaotic system was constructed using a cubic smooth nonlinear memristor,and the dynamic behavior of the system was analyzed through Lyapunov exponents,bifurcation diagrams,and other methods.Secondly,the system was extended to the fractional-order domain,and phase diagrams of different parameters of the system were obtained at the order q = 0.9.By comparing the dynamical behavior of the system determined by bifurcation diagram and the fractional-order domain phase diagram,it is found that the results are consistent.Finally,the Adomian decomposition method was used to implement the fractional-order system in FPGA hardware circuit.The experimental results are consistent with the numerical simulation results,which further verifies the correctness and feasibility of the theoretical analysis of the memristive chaotic system,and enriches the theoretical foundation for its application in the field of encryption.关键词
分数阶/忆阻混沌系统/Adomian分解法/动力学特性/FPGA实现Key words
fractional-order/memristive chaotic system/adomian decomposition method/dynamic characteristics/FPGA implementation分类
数理科学引用本文复制引用
张哲源,吴朝俊,张琦,杨宁宁..基于Adomian分解法的分数阶忆阻混沌电路分析及其FPGA实现[J].电子元件与材料,2023,42(11):1340-1347,8.基金项目
国家自然科学基金(51507134) （51507134）
陕西省自然科学基础研究计划面上项目(2021JM-449,2018JM5068) （2021JM-449,2018JM5068）
