弱耦合对耦合映像集体动力学行为的影响

The Influence of Weak Coupling on the Coupled Map Lattices

文章研究弱耦合对二维耦合格子系统的集体动力学行为的影响,选取的动力学为逻辑斯蒂映像,引入基于方向相的序参量,计算了格点的时间序列,对分岔参数做了系统性研究。笔者认为:随着分岔参数的增加,序参量的值从1变为0。研究结果表明,弱耦合能够引起系统周期窗口消失,甚至使系统处于无序状态,还能够使系统从无序状态转变为有序状态。

We investigate how the weak coupling influences the dynamic behaviors of the coupled map lattice. By defining an order parameter based on the direction phase of the logistic map, a transition of the order parameter from one to zero as the parameter increases is found. The result is useful to understand the role of weak coupling.