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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| s13160-020-00453-9.pdf | 1.95 MB | Adobe PDF | 見る/開く |
| タイトル: | An extension of the entropic chaos degree and its positive effect |
| 著者: | Inoue, Kei Mao, Tomoyuki Okutomi, Hidetoshi Umeno, Ken   https://orcid.org/0000-0002-9162-1261 (unconfirmed) |
| 著者名の別形: | 梅野, 健 |
| キーワード: | Entropic chaos degree Chaos Lyapunov exponent |
| 発行日: | 2021 |
| 出版者: | Springer Nature |
| 誌名: | Japan Journal of Industrial and Applied Mathematics |
| 巻: | 38 |
| 開始ページ: | 611 |
| 終了ページ: | 624 |
| 抄録: | The Lyapunov exponent is used to quantify the chaos of a dynamical system, by characterizing the exponential sensitivity of an initial point on the dynamical system. However, we cannot directly compute the Lyapunov exponent for a dynamical system without its dynamical equation, although some estimation methods do exist. Information dynamics introduces the entropic chaos degree to measure the strength of chaos of the dynamical system. The entropic chaos degree can be used to compute the strength of chaos with a practical time series. It may seem like a kind of fnite space Kolmogorov-Sinai entropy, which then indicates the relation between the entropic chaos degree and the Lyapunov exponent. In this paper, we attempt to extend the defnition of the entropic chaos degree on a d-dimensional Euclidean space to improve the ability to measure the stength of chaos of the dynamical system and show several relations between the extended entropic chaos degree and the Lyapunov exponent |
| 著作権等: | © The Author(s) 2021. 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 asyou give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this articleare included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to thematerial. If material is not included in the article’s Creative Commons licence and your intended use isnot permitted by statutory regulation or exceeds the permitted use, you will need to obtain permissiondirectly from the copyright holder. |
| URI: | http://hdl.handle.net/2433/263139 |
| DOI(出版社版): | 10.1007/s13160-020-00453-9 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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