一种简单混沌系统的动力学分析及电路实现  

Dynamical analysis and circuit realization of a simple chaotic system

作　　者：陆安山[1] 陆益民[2] 方浚丞[1] 

机构地区：[1]钦州学院物理与电子工程学院,广西钦州535000 [2]广西大学电气工程学院,广西南宁530004

出　　处：《河南理工大学学报（自然科学版）》2016年第1期100-104,123,共6页Journal of Henan Polytechnic University（Natural Science）

基　　金：国家自然科学基金资助项目(51167002);广西高校科学技术研究资助项目(2013YB256)

摘　　要：针对混沌系统的构建存在建模、电路实现难度大,且建模规律难以寻获等特点,提出一种仅含一个非线性项的三变量简单混沌系统,并对其动力学特征进行分析研究。给出系统的李雅普诺夫指数谱、李雅普诺夫指数和维数、单参数分岔图及时域波形图和吸引子相图,Poincaré映射图,并研究不同调控系数对系统的动力行为的影响;设计出该混沌系统的硬件实现电路,数值模拟与实验电路验证结果一致,证明了该系统是一种新混沌系统,表明该混沌系统动力学行为与调控系数有关。For many difficulties existing in the realization of a chaotic system construction model and a circuit,and finding the modeling rules of a chaotic system,a novel three-variable simple chaotic system containing only one nonlinear variables is put forward,and the dynamical characteristics of the new system is studied. The Lyapunov spectrum,the Lyapunov index and spectra dimension,bifurcation diagrams,time domain waveform,and attractor phase diagram are obtained. The effects of the system dynamic behavior on different regulation coefficients are investigated. The realization hardware circuit of this chaotic system was designed. The numerical simulation results and circuit experiment results have a good agreement. And the chaotic system dynamics behavior only depend on the system regulation coefficient.

关 键 词：简单混沌系统 LYAPUNOV指数 电路实现 调控系数 

分 类 号：TN79[电子电信—电路与系统] TN710.9