一种新六维超混沌系统及其电路实现  

A New Six-dimensional Hyperchaotic System and Its Circuit Implementation

作　　者：张帆[1] 刘剑鸣[2] 

机构地区：[1]河北外国语职业学院,秦皇岛066311 [2]燕山大学工业计算机控制工程河北省重点实验室,秦皇岛066004

出　　处：《科学技术与工程》2013年第23期6659-6666,共8页Science Technology and Engineering

基　　金：黑龙江省自然科学基金项目(E200935)资助

摘　　要：通过Duffing混沌系统和lorenz混沌系统的结合,产生了一个新的结构复杂、多参数的六维超混沌系统,对系统中7个参数的Lyapunov指数仿真实验显示此超混沌系统具有强混沌特征。分析了该新超混沌系统的相空间结构图、Lyapunov指数图、Poincare映射、功率谱以及时域等特性,设计了该新混沌系统的电路实现和仿真实验,理论分析和实验结果证实了该系统属于一种新的超混沌系统。By mixing the Duffing chaotic system with the lorenz chaotic system,a new multi-parameter six-dimensional hyperchaotic system with a more complex structure is produced.The Lyapunov exponent simulation results of seven parameters in the system show that the hyperchaotic system has strong chaotic features.The features of phase space maps,Lyapunov exponents maps,Poincare maps,power spectrm and time domain of the new hyperchaotic system are analysed.The circuit implementation and simulation experiments of the new chaotic system are designed.The results of theoretical analysis and experimental show that the system belongs to a new hyperchaotic system.

关 键 词：超混沌 混沌电路 LYAPUNOV指数 LORENZ DUFFING 

分 类 号：O159[理学—数学] TP391[理学—基础数学]