基于双非线性反馈控制的五维超混沌系统的分析与电路实现  

The theory analysis and circuit implementation of a five dimensional hyperchaotic systembased on the double nonlinear feedback control method

作　　者：孔德彭[1] 周国华[1] 李久胜[1] 周一飞[1] 方栋良[1] 

机构地区：[1]浙江工业大学技术与教育发展研究中心,浙江杭州310023

出　　处：《浙江工业大学学报》2014年第5期559-565,共7页Journal of Zhejiang University of Technology

基　　金：教育部人文社会科学基金资助项目(13YJAZH043);浙江省教育科学规划基金资助项目(2014SCG040);浙江工业大学人文中心项目(z20130308)的资助

摘　　要：在三维Lü系统的基础上,增加两个非线性控制器,构造出一个双非线性反馈控制的五维超混沌系统,重点研究了两个控制参数的变换对该系统的影响,并对平衡点的性质、超混沌吸引子相图、Lyapunov指数、分岔图和Poincare截面进行了数值分析和仿真,结果表明该系统具有复杂的动力学特性和超混沌现象.然后利用整数维混沌电路的设计方法,借助Multisim软件模拟电路并配置正确的参数进行验证,通过示波器测量获取直观的实验结果并与计算机仿真进行比对,结果完全一致.该系统的高维混沌特性和硬件电路实现方法可以为混沌理论在应用领域的推广提供了方法和技术支持,具有重要的应用价值.Based on three-dimensional Lü system,two nonlinear controllers are added and a five dimensional hyper-chaotic system is built.The influence of two control parameters of the transformation to the system is focused on.The properties of equilibrium points,the chaotic attractor phase diagram,the Lyapunov exponent,the bifurcation diagram and Poincare mapping are analyzed and simulated.The results show that this system has extremely complex dynamic characteristics and hyper-chaotic phenomenon.Then the design method of integer dimension chaotic circuit is used and Multisim software is applied to simulate and verify the chaotic circuit with configurating correct parameters.The results from the oscilloscope are consistent with the result from the computer simulation completely.This method can provide method and technical support for the popularization of chaotic theory in the application domains.It has significant application value.

关 键 词：超混沌系统 电路实现 动力学特性 LYAPUNOV指数 计算机仿真 

分 类 号：TM85[电气工程—高电压与绝缘技术]