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Abstract: The structure of a network can significantly influence the properties of thedynamical processes which take place on them. While many studies have beendevoted to this influence, much less attention has been devoted to theinterplay and feedback mechanisms between dynamical processes and networktopology on adaptive networks. Adaptive rewiring of links can happen in reallife systems such as acquaintance networks where people are more likely tomaintain a social connection if their views and values are similar. In ourstudy, we consider different variants of a model for consensus formation. Ourinvestigations reveal that the adaptation of the network topology fosterscluster formation by enhancing communication between agents of similar opinion,though it also promotes the division of these clusters. The temporal behavioris also strongly affected by adaptivity: while, on static networks, it isinfluenced by percolation properties, on adaptive networks, both the early andlate time evolution of the system are determined by the rewiring process. Theinvestigation of a variant of the model reveals that the scenarios oftransitions between consensus and polarized states are more robust on adaptivenetworks.

Author: Balazs Kozma, Alain Barrat


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