Emergence of hysteresis loop in social contagions on complex networks
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Date
2017-07-21
Authors
Su, Zhen
Wang, Wei
Li, Lixiang
Xiao, Jinghua
Stanley, H. Eugene
Version
Published version
OA Version
Citation
Zhen Su, Wei Wang, Lixiang Li, Jinghua Xiao, H Eugene Stanley. 2017. "Emergence of hysteresis loop in social contagions on complex networks." SCIENTIFIC REPORTS, Volume 7, 8 pp. https://doi.org/10.1038/s41598-017-06286-w
Abstract
Understanding the spreading mechanisms of social contagions in complex network systems has attracted much attention in the physics community. Here we propose a generalized threshold model to describe social contagions. Using extensive numerical simulations and theoretical analyses, we find that a hysteresis loop emerges in the system. Specifically, the steady state of the system is sensitive to the initial conditions of the dynamics of the system. In the steady state, the adoption size increases discontinuously with the transmission probability of information about social contagions, and trial size exhibits a non-monotonic pattern, i.e., it first increases discontinuously then decreases continuously. Finally we study social contagions on heterogeneous networks and find that network topology does not qualitatively affect our results.
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License
Copyright © The Author(s) 2017. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.