Ward, JA and Grindrod, P (2014) Aperiodic dynamics in a deterministic adaptive network model of attitude formation in social groups. Physica D: Nonlinear Phenomena, 282. pp. 27-33. ISSN 0167-2789
Abstract
Adaptive network models, in which node states and network topology coevolve, arise naturally in models of social dynamics that incorporate homophily and social influence. Homophily relates the similarity between pairs of nodes’ states to their network coupling strength, whilst social influence causes coupled nodes’ states to convergence. In this paper we propose a deterministic adaptive network model of attitude formation in social groups that includes these effects, and in which the attitudinal dynamics are represented by an activator–inhibitor process. We illustrate that consensus, corresponding to all nodes adopting the same attitudinal state and being fully connected, may destabilise via Turing instability, giving rise to aperiodic dynamics with sensitive dependence on initial conditions. These aperiodic dynamics correspond to the formation and dissolution of sub-groups that adopt contrasting attitudes. We discuss our findings in the context of cultural polarisation phenomena.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2014, Elsevier. This is an author produced version of a paper published in Physica D: Nonlinear Phenomena. Uploaded in accordance with the publisher's self-archiving policy |
Keywords: | Adaptive networks; Social dynamics; Activator–inhibitor; Chaos; Social influence; Homophily |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 08 Jun 2016 09:10 |
Last Modified: | 20 Jan 2018 18:02 |
Published Version: | http://dx.doi.org/10.1016/j.physd.2014.05.006 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.physd.2014.05.006 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:96408 |