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. 2018 Jul 18;8:10890. doi: 10.1038/s41598-018-29117-y

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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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Chaotic time series, inherent time-correlated structures, RF spectra, and decision-making performance for the two-armed bandit problem. (a) Snapshots of the time series used for solving the N-armed bandit problem. Four kinds of chaotic signals (Chaos 1–4) as well as quasiperiodic sequences, pseudorandom numbers (RAND), and coloured noise are used. (b) Radio-frequency (RF) power spectra in Chaos 1–4 and quasiperiodic signal cases. (c) Evolution of the correct decision ratio (CDR) indicating the likelihood of choosing the highest-reward-probability slot machine. The reward probabilities of Machine 0 and 1 are 0.9 and 0.7, respectively. (d) Autocorrelation inherent in Chaos 1–4, quasiperiodic, and coloured noise cases.