Lorenz系统单一耦合同步研究

A Single coupling method in Lorenz systems

针对耦合同步法中如何确定耦合强度的问题,提出了Lorenz系统单一耦合同步定理。在单向耦合同步基础上进行改进,减少状态变量耦合数目,提出了单一耦合同步方法;利用Lyapunov稳定性理论及Routh-Hurwitz判据,通过判定误差系统系数矩阵的特征值符号,推导了同步误差渐进稳定时耦合系数需满足的充分条件;仿真验证了该定理的正确性和有效性,表明了该定理下的单一耦合同步具有良好的抗干扰能力。

In order to solve the problem of how to determine the coupling strength in coupling synchroniza- tion method,a theorem of single coupling method between Lorenz systems is proposed. First, by reducing the number of state variables, an improved synchronization method named,i.e, single coupling method, is proposed on the basis of the unidirectional coupling synchronization Then, in accordance with stability the- ory and Routh--Hurwitz criterion, by detecting the signs of characteristic values reduced from the Jacobi matrix of error system, full conditions are derived for satisfying the coupling coefficient in error gradually