无标度混沌映射网络中的开-关间歇振荡

On-Off intermittency in scale-free networks of chaotic maps

真实网络往往都具有无标度特性,开-关间歇振荡是网络动力学行为发生转变时的一个现象。通常用2个状态来描述开-关间歇振荡一是“关”状态,即时间轴上长时间的定态;另一个是“开”状态,即定态被突然的爆发所取代。本文研究了无标度混沌映射网络中的开-关间歇振荡,选择适当的耦合强度和新加入节点的度使得无标度混沌映射网络处于同步状态。数值计算表明,当耦合强度稍低于其临界值时,开-关间歇振荡出现,并且开-关间歇振荡中层流相长度的分布服从幂律分布。

Many real networks display a scale-free feature. The on-off intermittency, a phenomenon in complex networks, characterizes the dynamic behavior when changed. This intermittency is described by a two-state nature. One is the ＂off＂ state, which remains constant for long periods of time and is suddenly changed by a burst, the other is the ＂on＂ state, which departs quickly from and returns quickly to the ＂off＂ state. The on-off intermittency was investigated in scale-free networks of chaotic maps in this article. We chose the coupling coefficient and the degree to a constant properly so that the network was synchronous chaos. The simulations show that when the coupling strength slightly less than a critical value, the on-off intermittency appears, and the length of laminar phases obey power-law distribution.