摘要
基于一种带通滤波忆阻器混沌电路,构造了Caputo定义下的分数阶忆阻带通滤波混沌系统。通过Adomian分解算法(ADM)对该分数阶混沌系统进行数值仿真。在此基础上,利用分岔图、李雅普诺夫指数谱、吸引子相图、庞加莱截图、谱熵(SE)复杂度和C0复杂度算法分析了系统参数和系统阶数对系统动力学特性的影响。分析结果表明,相对于整数阶忆阻混沌系统,分数阶忆阻混沌系统不仅增加了混沌系统阶数这一可变参数,而且使得系统的动力学行为更加复杂,这将更有利于分数阶混沌电路应用于保密同信领域。该研究对于分数阶忆阻混沌电路在保密通信和信息安全等领域的应用提供了理论基础。
Based on a memristive bandpass filter chaotic circuit,a Caputo fractional-order memristive bandpass filter chaotic system was constructed.The numerical solutions were calculated by the Adomian decomposition method(ADM).Based on this,the bifurcation diagram,Lyapunov exponent spectrum,attractor phase diagram,Poincarésection,spectral entropy(SE)complexity,and C0 complexity algorithm were used to analyze the system parameters and system order on system dynamics.The analysis results showed that compared with integer-order memristive chaotic systems,fractional-order memristive chaotic systems not only increase the variable parameter of the chaotic system,but also make the system’s dynamic behavior more complex,which is more desirable in secure communications.It provides a theoretical basis for the application of fractional-order memristor chaotic circuits in the fields of secure communication and information security.
作者
马晨光
于晓强
杨飞飞
牟俊
MA Chenguang;YU Xiaoqiang;YANG Feifei;MOU Jun(School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China)
出处
《大连工业大学学报》
CAS
北大核心
2020年第2期150-156,共7页
Journal of Dalian Polytechnic University
基金
辽宁省自然科学基金项目(20170540060)
辽宁省高等学校基本科研项目(2017J045)。
关键词
ADM算法
分数阶系统
动力学特性
忆阻混沌电路
ADM algorithm
fractional-order system
dynamic characteristic
memristor chaotic circuit
