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. 2017 Sep 4;7:10403. doi: 10.1038/s41598-017-09887-7

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© 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/.

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Dependence of the number of synchronized clusters N _c (solid red line) and size of the largest cluster S _c (dashed green line) on the hub frequency multiplier ω _x. The parameters are ε = 5, δ = 0.2π. For increasing values of the frequency multiplier, the size of the largest synchronized component presents a bell-shaped behavior, with the largest synchronized cluster observed for ω _x = 0.4.