一个新非自治超混沌四维二次系统及其电路实现  

Circuit Implementation for a New Non-Autonomous Hyper-Chaotic Four-Dimensional Quadratic System

作　　者：罗小华[1] 李元彬[2] 罗明伟[3] 李锐[1] 李华清[4] 

机构地区：[1]重庆邮电大学通信与信息工程学院,重庆400065 [2]重庆邮电大学基建后勤处,重庆400065 [3]重庆邮电大学自动化学院,重庆400065 [4]重庆邮电大学数理学院,重庆400065

出　　处：《西南大学学报（自然科学版）》2009年第7期162-165,共4页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60572089);重庆市教委科学技术资助项目(KJ070511)

摘　　要：在三维二次混沌系统的基础上增加一个含控制信号的状态变量,组成一个新的非自治超混沌四维二次系统.该系统的基本动力学特性的变化主要依赖于控制信号频率的改变.通过系统的Lyapunov指数谱、分岔图及数值仿真表明,在不同的频率参数下,该系统能够体现周期、拟周期、混沌、超混沌的动力学特性.最后设计了一个模拟电路,进一步验证了其特性.Based on the three-dimensional quadratic chaos system, this paper constructs a new fourdimen sional quadratic non-autonomous hyperchaos system by adding a state variable with the controlling signal. The change in the basic dynamics characters of this system is mainly realized by varying the frequency of the controlling signal. The different chaos dynamics characters of this system such as periodicity, quasi periodicity, chaos and hyperchaos at different frequencies is shown by Lyapunov spectrum , bifurcation diagram and numerical simulation. The results of the experiment are further shown to be consistent with the numerical simulation bv designing an anlog electronic eiruit.

关 键 词：混沌系统 非自治超混沌系统 调频 电路实现 

分 类 号：O545[理学—物理]