Adaptive-network models of collective dynamics

Largenet2: an object-oriented programming library for simulating large adaptive networks

“…Dynamical processes in adaptive networks are typically specified in terms of a set of rules that locally transform a part of the network, e.g., update a node's state according to its neighbourhood or modify the local connectivity of a node [10,26]. An example of such rules for an epidemiological model is shown in Figure 1.…”

Sentiment cycles in discrete-time homogeneous networks

“…The links provide the necessary tool for local interaction to occur; it is this interaction that allows each agent to eventually change her perspective or state, as she suffers the influence of an agent positioned in an adjacent or neighboring node. 1 If every node in the network exhibits an identical connectivity degree, i.e., if there is a same number of links emanating from each node to the other nodes, the network is called homogeneous; otherwise, it acquires the designation of inhomogeneous.…”

“…Collective phenomena are typically perceived, as emphasized in Zschaler [1], as the macroscopic outcome emerging from the microscopic and decentralized interaction across a large number of individual units.…”

“…They are composed by thousands or millions of nodes that may or may not display different connectivity degrees. 1 Furthermore, the evolutionary nature of the network implies that agents placed at a given node will potentially change their status as they contact with agents in neighboring nodes.…”

Scale-Free Networks in Economics

“…As Zschaler [3] emphasizes, such network configuration implies the existence of 'hubs', i.e., of nodes with a high degree of centrality, what allows for the presence of short average path lengths across the network (the small-world property highlighted by Zanette [4], to characterize real-world networks holds in this type of network structure).…”