基于忆阻器的新型四阶混沌电路的设计、分析与实现

发布时间：2018-05-03 17:11

本文选题：忆阻器 + 混沌电路　；参考：《山东科技大学》2017年硕士论文

【摘要】：1971年,美国加州大学的蔡少棠教授根据电路元件的完备性原理,预测了忆阻器的存在。直到2008年,HP实验室用纳米材料研制出实物忆阻器,开始引起国内外学者的广泛关注。忆阻器具有非线性特性,很容易产生混沌振荡信号,因此成为设计混沌电路中一个新兴电路元件,利用忆阻器设计混沌电路是一个热门研究方向,忆阻混沌电路与传统混沌电路相比,其动力学特性不仅依赖于电路参数的变化,还依赖于忆阻器初始值的设定。目前研究较多的是基于蔡氏(Chua)电路的忆阻混沌电路的设计。基于对混沌理论、忆阻器理论、经典混沌电路、忆阻混沌电路的分析及实现的认识,本文设计了两个新型忆阻混沌电路,并对其进行动力学分析及实现。具体的研究步骤如下:1.首先介绍混沌概念、混沌基本特征及其非线性动力学分析方法等理论,通过MATLAB编程仿真的数值分析方法包括:Lyapunov指数法、平衡点及稳定性分析、相轨图、分岔图、庞加莱映射及功率谱分析等方法。简单阐述了混沌电路中经常用到的基本运算单元电路,并介绍三类经典的混沌系统——Lorenz混沌系统、蔡氏(Chua)混沌电路及蔡氏对偶电路。2.简单介绍忆阻器与忆阻混沌电路,阐述忆阻器的概念,分析忆阻器的数学模型,并设计电路实现忆阻器,对两个基于忆阻器的混沌电路进行研究,系统阐述了忆阻混沌电路的分析方法。3.设计两个新型忆阻混沌电路——基于Lorenz系统的忆阻混沌电路,针对系统进行动力学分析,验证其复杂的动力学现象;基于Chua对偶电路的四阶忆阻混沌电路,对该电路依赖于参数和初始条件的动力学行为分别进行研究,用Multisim进行模拟电路设计,并用实际电路进行硬件实现,实验结果验证了理论结果的正确性。
[Abstract]:In 1971, Professor Choi Shao-tong of the University of California predicted the existence of resistive devices according to the principle of completeness of circuit components. It was not until 2008 that physical amnesizer was developed by HP laboratory with nanometer materials, which has attracted wide attention of scholars at home and abroad. Because of the nonlinear characteristics of the device, it is easy to produce chaotic oscillation signal, so it becomes a new circuit element in the design of chaotic circuit. It is a hot research direction to design chaotic circuit by using the resistor. Compared with the traditional chaotic circuit, the dynamic characteristics of the circuit depend not only on the variation of circuit parameters, but also on the setting of the initial value of the resistor. At present, much research is done on the design of amnesia chaotic circuit based on Chua's Chua circuit. Based on the analysis and realization of chaos theory, amnesia theory, classical chaotic circuit and amnesia chaotic circuit, two new amnesia chaotic circuits are designed, and their dynamics analysis and implementation are carried out. The specific research steps are as follows: 1: 1. Firstly, the concept of chaos, the basic characteristics of chaos and the nonlinear dynamic analysis methods are introduced. The numerical analysis methods of MATLAB programming simulation include the method of: Lyapunov exponent, equilibrium point and stability analysis, phase orbit diagram, bifurcation diagram, and so on. Poincare mapping and power spectrum analysis. In this paper, the basic operation unit circuits often used in chaotic circuits are briefly described, and three classical chaotic systems, Lorenz chaotic system, Chua's Chua chaotic circuit and Chua's dual circuit .2. are introduced. This paper briefly introduces the amnesia and its chaotic circuit, expounds the concept of the memristor, analyzes the mathematical model of the memristor, and designs the circuit to realize the circuit. Two chaotic circuits based on the memristor are studied. The analysis method of amnesia chaotic circuit. 3. Two new amnesia chaotic circuits, which are based on the Lorenz system, are designed to analyze the dynamics of the system to verify its complex dynamic phenomena, and the fourth order amnesia chaotic circuit based on the dual circuit of Chua is designed. The dynamic behavior of the circuit which depends on the parameters and initial conditions is studied respectively. The analog circuit is designed by Multisim and the hardware is implemented by the actual circuit. The experimental results verify the correctness of the theoretical results.
【学位授予单位】：山东科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TM132

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