一类具有长程连接的规则网络同步

在一些自然系统中,各个子系统（单元）是通过互相交换信息的方式,最后达到行为一致,对应于一个具体的网络,可以看作是网络中各个节点之间流的互输入,使整个网络达到同步.基于以上考虑,研究了一类具有长程连接的规则网络的同步,并通过与其他网络同步的比较,考察网络结构以及在网络中增加长程连接对网络同步性能的影响.程序运行表明,该网络比同规模的最近邻耦合网络更易达到同步,且网络中长程连接的数目越多,网络越易达到同步,同步的鲁棒性越强.

Synchronization in a regular network with long distance connection

In some natural systems, the behaviors of all subsystems may become identical by exchanging the information one another. For a specific network, it can be seen as the network flow among the various nodes in each input, so that the entire network can achieve synchronization. Based on this considering, a kind of regular networks with long-distance-connections are introduced. And then, comparing to other network synchronization, the networks＇conflguration and the influence of long distance connections for network synchronism are researched. Program running shows that such network is easier to get synchronization than the nearest-neighbor coupled dynamical networks on equal scale, and the long-distance network, the more the number of connections, the easier the synchronization of network, and the stronger the robustness.