变形Rikitake系统的混沌同步和应用  

Chaos Synchronization and Application of a Modified Rikitake System

作　　者：张济仕[1] 宫德龙[2] 

机构地区：[1]河南大学计算中心,河南开封475004 [2]河南大学基础实验教学中心,河南开封475004

出　　处：《计算机仿真》2010年第5期336-339,共4页Computer Simulation

基　　金：河南省教育厅自然科学研究指导计划项目(2008B520003)

摘　　要：针对Rikitake混沌系统同步问题,提出一个新的发电机系统,首先通过对新系统的分维、李雅普诺夫指数和功率谱的研究和计算,判定新系统存在混沌行为,接着采用自适应控制方法设计了自适应控制器和参数更新规则,通过李雅普诺夫稳定性理论和Barbalat引理,理论上证明了控制器和参数更新规则可使得驱动系统和未知参数的响应系统渐近地达到同步,并且可以清晰辨识出响应系统的未知参数,并运用混沌掩盖的方法将该同步方法应用于保密通信,数值仿真进一步证明了控制器的有效性和可行性。This article based on the Rikitake chaos system, proposed a new generator system. First, through the fractal dimension Lyapunov exponent, the power spectrum research and the computation of of the new system, the chaos behavior of the new system was determined . Then the adaptive control method was usedto design the auto - adapted controller and the parameter renewal rule based on the Lyapunov stability theory and Barbalat lemma. It is proved theoretically that the auto - adapted controller and the parameter renewal rule can cause the response system of driving system and the unknown parameter to approach synchronization, may recognize unknown parameters of the response system clearly, and can apply this synchronized method in privacy communication by using the chaos cover＇s method. The numerical simulation further proved the validity and feasibility of this controller.

关 键 词：分维 功率谱 混沌同步 李雅普诺夫稳定性理论 保密通信 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]