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. 2019 Dec 30;9:20351. doi: 10.1038/s41598-019-56851-8

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© The Author(s) 2019

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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Description of the quality Indicators QI_s, QI_p, QI1, QI2 and ICI, and visualization of assessment of the Lyapunov exponents using these indicators for the stationary window time series. Each graph in the lower panel shows the points calculated by Tisean v3.0.1 package (empty circles), a combined fit for the linear increase and plateau (red line), quality assessment (+, 0, −) by the indicators QI1 (first symbol) and QI2 (second symbol), and a large colour dot indicating the relevance (reliability) of the calculated Ly-values: green – positive test for both quality indicators (QI1 and QI2), yellow – positive test for just one of the indicators, red – negative tests for both indicators.