一种新六维Duffing-Lu混沌系统及其电路实现  

A New Six-dimensional Duffing-Lu Chaotic System and Its Circuit Implementation

作　　者：张帆[1] 

机构地区：[1]河北外国语职业学院,秦皇岛066311

出　　处：《科学技术与工程》2013年第12期3372-3376,3380,共6页Science Technology and Engineering

基　　金：黑龙江省自然科学基金(E200935)资助

摘　　要：通过对电路系统中存在的Lu混沌现象和通讯系统中存在的Duffing混沌现象进行整合,构建了一种新的多参数、六维Duffing-Lu超混沌系统。分析了新超混沌系统的动力学特征,绘制了新六维超混沌系统的相空间图、李雅普诺夫指数图、poincare截面图、功率谱以及时域等特性。理论分析和仿真实验验证了新超混沌系统的性能,证实了该系统属于一种新的超混沌系统。设计出新六维超混沌系统的电路实现。By integrating the Lu chaotic phenomenon of circuit system with the Duffing chaotic phenomenon of communication system, a new muhi-parameter six-dimensional Duffing-Lu hyperchaotic system is built. The dy- namics characteristics of new hyperchaotic systems is analysed. The phase space, Lyapunov index, Poincare maps, power spectrm and time domain character of the new chyperhaotic system are drawed. The theoretical analysis and simulation experiments verified the performances of the new hyperchaotic system and show that the system belongs to a new hyperchaotic system. The circuits of the~ n,~w ~ix-rlirn^nQi,~.~l h h.~＋; .~__：___

关 键 词：Duffing系统Lu系统 超混沌 混沌电路Lyapunov指数 

分 类 号：O189.13[理学—数学] TP391[理学—基础数学]