自适应网络上的接触过程和矩闭合
Contact processes and moment closure on adaptive networks
摘要:
接触过程描述了节点的不同属性通过网络链路的传输。它们为传染病传播和舆论形成等许多现象提供了一个简单的框架。将接触过程与拓扑演化规则相结合,得到了一个自适应网络,其中节点的状态可以与拓扑自由度动态地相互作用。通过矩闭合近似,可以导出低维常微分方程组,该方程组在粗粒度水平上描述自适应网络的动态特性。在本章中,我们将讨论近似技术本身及其在自适应网络中的应用。因此,它既可以作为教程,也可以作为最近结果的回顾。
英文摘要:
Contact processes describe the transmission of distinct properties of nodes via the links of a network. They provide a simple framework for many phenomena, such as epidemic spreading and opinion formation. Combining contact processes with rules for topological evolution yields an adaptive network in which the states of the nodes can interact dynamically with the topological degrees of freedom. By moment-closure approximation it is possible to derive low-dimensional systems of ordinary differential equations that describe the dynamics of the adaptive network on a coarse-grained level. In this chapter we discuss the approximation technique itself as well as its applications to adaptive networks. Thus, it can serve both as a tutorial as well as a review of recent results.
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