基于蔡氏电路的混沌同步的研究

该文采用研究混沌连续时间系统的同步方法，基于系统的稳定性准则，分析了蔡氏电路的混沌同步问题，即用同步误差的线性系统的稳定性分析来保证混沌的同步。通过系统的线性项和非线性项的适当分离，使系统的雅可比矩阵的全部特征值为负值，此时响应系统与驱动系统的状态变量之间，存在一个与初值有关的误差，无论初始同步误差多大。都能使同步误差e（t）最终趋于稳定，从而实现新、旧系统的完全同步。运用该方法对蔡氏电路进行计算机仿真实验，得到的仿真结果和分析相符，证明了该方法在研究非线性电路方面是简单有效的，为今后研究类似问题提出了新思路。

Chaotic Synchronization on Chua's Circuit

The chaotic synchronization of Chua's circuit is analyzed by using an approach of synchronization of a chaotic time-continuous system based on the stability criteron of linear systems,namely, to assure synchronization of chaos by stability analysis of linear systems of synchronization error e(t). By means of appropriate separation of linearity and non-linearity of the chaotic system , all eigenvalues of Jacobian matrix of the system are negative , here, there is error concerning initial values between state variable of response system and drive system, no matter how big the initial value is, synchronization error e(t) will tend to be stable eventually, and then, complete synchronization of old system and new system is realized. By this method the simulating experiment is carried out for Chua's circuit, the result of simulating is in accordance with what have been analyzed, the convenience and effectiveness of the method are verified in non-linearity circuit, and a new idea for the future research work is proposed.