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. 2018 Jul 2;8:9910. doi: 10.1038/s41598-018-28236-w

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© The Author(s) 2018

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/.

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Frustrated synchronization. The synchronization order parameter R(T) is plotted versus the coupling strength σ for D = 1 (a) D = 2 (b) and D = 3 (c), for a single network realization of N = 1600 nodes. Here, we have taken T = 500 in all graphs. The arrows in the panels (a–c) indicate the specific values of the coupling strength σ for which we show the time series R(t) in panels (d) for D = 1, (e) for D = 2 and (f) for D = 3.