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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。
Real networks often have scale-free characteristics. On-off intermittent oscillation is a phenomenon when network dynamics change. The two states are usually used to describe the on-off intermittent oscillation. One is the “off” state, that is, the stationary state on the time axis for a long time; the other is the “on” state, ie, the steady state is replaced by a sudden explosion. In this paper, the open-closed intermittent oscillations in scale-free chaotic mapping networks are studied, and the appropriate coupling strength and the degree of newly added nodes are chosen to make the scale-free chaotic mapping network in a synchronized state. The numerical results show that on-off intermittent oscillation occurs when the coupling strength is slightly lower than the critical value, and the distribution of the length of the laminar flow in the on-off intermittent oscillation follows the power law distribution.