复杂系统中的演化子网络
Evolutionary Subnetworks in Complex Systems
摘要：
实际网络中的链路可能具有不同的功能，这使得原始网络是一些功能子网的组合。在这里，通过一个耦合振子模型，我们研究了这样的功能子网络是如何根据网络结构和动力学演化和发展的。特别是，我们研究的情况下，进化集群网络中的每个链接（无论是吸引力或排斥耦合）的功能更新的本地动态。研究发现，在系统演化过程中，网络逐渐稳定为吸引（排斥）子网络仅由内部链接（互连）组成的特定形式。基于子网络演化的性质，提出了一种新的网络划分算法，该算法具有操作方便、计算速度快的特点。
英文摘要：
Links in a practical network may have different functions, which makes the original network a combination of some functional subnetworks. Here, by a model of coupled oscillators, we investigate how such functional subnetworks are evolved and developed according to the network structure and dynamics. In particular, we study the case of evolutionary clustered networks in which the function of each link (either attractive or repulsive coupling) is updated by the local dynamics. It is found that, during the process of system evolution, the network is gradually stabilized into a particular form in which the attractive (repulsive) subnetwork consists only the intralinks (interlinks). Based on the properties of subnetwork evolution, we also propose a new algorithm for network partition which is distinguished by the convenient operation and fast computing speed.
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