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Discrete Dynamics in Nature and Society - Volume 2017 2017, Article ID 3173016, 5 pages - https:-doi.org-10.1155-2017-3173016

Research Article

Department of Information Management, Peking University, Beijing 100871, China

School of Mathematics and Computer Science, Jiangxi Science and Technology Normal University, Nanchang 330038, China

Correspondence should be addressed to Guangjian Li

Received 22 February 2017; Accepted 15 March 2017; Published 3 April 2017

Academic Editor: Luisa Di Paola

Copyright © 2017 Hui Xie et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate opinion dynamics as a stochastic process in social networks. We introduce the stubborn agent in order to determine the impact of network structure on the emergence of consensus. Depending on the fraction of undirected long-range connections, we observe fascinatingly rich dynamical behavior and transitions from disordered to ordered states. In general, we find that the stubborn agent promotes the emergence of consensus due to the so-called -group effect- that facilitates coalescence between separated network components. Agents are also behaviorally constrained Shannon information entropy in networks. However, since agents want to evolve their opinion with Brownian motion, which may in turn impede full consensus, sufficiently frequent long-range links are in such situations crucial for the network to converge into an absorbing phase. Our experimental findings indicate that, for a large range of control parameters, our model yields stable and fluctuating polarized states.

Author: Hui Xie, Guangjian Li, Yongjie Yan, and Sihui Shu

Source: https://www.hindawi.com/


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