摘要
对Lorenz系统添加一个非线性状态反馈控制器所构成的四维超混沌Lorenz系统,并运用数值模拟和理论分析的方法研究该超混沌系统丰富的动力学特性,同时运用PSPICE和MATLAB软件设计电子电路以实现超混沌系统,并且所得电路仿真结果与数值仿真结果完全一致;然后提出自适应控制器以实现超混沌同步;最后运用Lyapunov理论与数值模拟证实所设计的控制器的有效性.
A new hyperchaotic Lorenz system was constructed by introducing a nonlinear state feedback controller, and its abundant dynamic behavior was studied by using numerical simulations and theory analysis. At the same time, by means of PSPICE and MATLAB, an electronic circuit was designed to realize the hyperchaotic Lorenz system and the circuit simulations obtained were identical with the numerical simulations. Moreover, the adaptive controller was proposed to achieve hyperchaotic synchronization. It is concluded that by means of Lyapunov theory and numerical simulation the controller designed is effective.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第5期120-126,共7页
Journal of Lanzhou University(Natural Sciences)
基金
Supported by the Foundation for College Tutor's Research Project of Gansu Province(1013-05)
