时滞扰动Lorenz系统及其同步电路实现

以Lorenz系统为模型,构造一个具有多个正的Lyapunov指数的四维时滞混沌系统,分析了其基本动力学行为,并利用滤波网络技术对新系统进行了可切换电路设计.然后,基于Lyapunov方法给出了两个相同高维时滞系统的耦合同步条件,根据所提出的同步方法设计了自同步控制电路.实验表明了该时滞系统具有丰富的动力学行为,所设计的同步控制电路结构简单,易于实现,能够通过调节部分元件参数获得较好的同步性能.

Time-delay perturbation Lorenz system and its synchronous circuit realization

A four-dimensional chaotic time-delay system with multiple positive Lyapunov exponents is presented based on Lorenz system. Some of its basic dynamical properties are studied, and the switchable circuit of the new system is designed by using filter network technique. The conditions for synchronization between two identical higher-order coupled time-delay systems are put forward by using Lyapunov method. The proposed method is also applied to design synchronous control circuits. Experiment results show that this time-delay system has abundant dynamical behaviors; the designed controller is easily to be implemented in practice; better synchronous performances can be achieved by adjusting component values.