环链耦合非全同混沌激光器阵列中的同步

Dynamic synchronization in heterogeneous chaotic laser arrays

研究了由Lorenz-Haken方程所描述的混沌激光器阵列的动力学同步行为.通过对单向耦合环形激光器阵列系统Lyapunov指数谱的计算发现,环行阵列激光器间出现的间隙性位相同步、混沌位相同步、不等幅混沌旋转波、不等幅准周期旋转波、不等幅周期旋转波等各种不同动力学行为分别对应不同的Lyapunov指数谱.特别是出现了环链耦合系统的横向Lyapunov指数为负的不同耦合参数区域,在这些区域内,环上激光器的不同动力学波将在链上做空间周期性同步传输,且随着链上激光器数目的增加,不同步瞬态时间也随之增加.

The dynamic synchronization in one-way coupled ring and linear arrays of chaotic laser systems has been studied. The spectrum of Lyapunov exponent of the ring shows that the intermittent phase chaotic synchronization, phase chaotic synchronization, unequal amplitude chaotic rotating wave and unequal amplitude periodic rotating wave correspond to different spectra of Lyapunov exponent. Especially, different windows of coupled constant with negative maximal transversal Lyapunov exponent are found in this ring-linear chaotic laser array system. In these windows different dynamic waves in the ring can propagate in the linear array with spatial period and the transient unsynchronous time increases the linear array.