应用MATLAB仿真几类混沌电路

更新时间：2017/1/24 17:55:00  浏览量：564  手机版

本科毕业设计(论文)

应用MATLAB仿真几类混沌电路

学 生 姓 名： 单玉青

指 导 教 师： 付景超

专 业、班级： 信息与计算科学071

院 (系) ： 理学院数学系

完成日期： 2011 年 6 月 15 日

摘 要

混沌电路理论是现代非线性科学的一个重要分支．混沌电路的研究主要包括混沌电路理论的研究和应用研究．在这两者之间，混沌电路的仿真起着至关重要的作用．由于混沌的初值敏感性，使其在电路设计中对初值要求较高，因此混沌电路仿真实现较为困难．

本文介绍了混沌电路的定义、基本概念、基本特征及研究现状，并针对几类混沌电路(蔡氏电路、蔡氏对偶混沌电路、带有负电容的三阶自治蔡氏混沌电路、三阶非自治铁磁材料混沌电路)，首先通过电路图对系统的动力学特性进行了分析与论述，建立对应的数学方程式，然后使用MATLAB软件进行仿真研究，通过编写并绘制系统的波形图、混沌吸引子、相平面图等程序，来研究各种电路不同的混沌现象．仿真结果表明了理论的正确性．

本文对于非线性混沌电路的研究与学习有一定的实用价值．论文选题具有一定的理论意义和应用前景．

关键词 MATLAB；仿真；混沌电路

Abstract

Theory of chaos circuits is an important branch of the modern nonlinear science. Chaos circuit research mainly includes chaos circuit theory research and applied research. Between that, the chaos circuit simulation plays a vital role. The initial value sensitivity makes the design of circuits for the initial value of higher requirements, so chaotic circuit’s simulation is more difficult.

The definition of chaos circuit、the basic concept、the basic characteristic and research status are introduced in this paper, then for a few kind of chaotic circuits(Chua’s circuits, chua's dual chaos circuit, with a negative capacitance of the first three autonomous chua's chaos circuit, the first three non-autonomous chaotic circuit ferromagnetic materials), firstly the dynamic characteristics of system are analyzed and discussed through the circuit diagram, and the corresponding mathematical equations are established, then we use the software MATLAB simulation research to draw the system of the wave form figure, chaotic attractor, phase plan programs, to study various circuit different chaotic phenomenon. Finally, the simulation results show that the conclusion is correct.

In this paper, the design and implementation of the comprehensive experimental simulation for chaos circuit experiment and nonlinear circuits learning has certain practical value. The thesis has certain theoretical meaning and application prospect.

Keywords MATLAB; Simulink; Chaos circuit