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Calculation method for unstable periodic points in two-to-one maps using symbolic dynamical system
https://tokushima-u.repo.nii.ac.jp/records/2009595
https://tokushima-u.repo.nii.ac.jp/records/20095953c83fd1e-0898-4f63-acdd-673b48e92d1d
| 名前 / ファイル | ライセンス | アクション |
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nolta_13_2_215.pdf (1.07 MB)
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| Item type | 文献 / Documents(1) | |||||||||||||||||
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| 公開日 | 2022-04-07 | |||||||||||||||||
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| アクセス権 | open access | |||||||||||||||||
| 資源タイプ | ||||||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||||
| 資源タイプ | journal article | |||||||||||||||||
| 出版社版DOI | ||||||||||||||||||
| 関連識別子 | https://doi.org/10.1587/nolta.13.215 | |||||||||||||||||
| 関連名称 | 10.1587/nolta.13.215 | |||||||||||||||||
| 出版タイプ | ||||||||||||||||||
| 出版タイプ | VoR | |||||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | Calculation method for unstable periodic points in two-to-one maps using symbolic dynamical system | |||||||||||||||||
| 著者 |
美井野, 優
× 美井野, 優
× 上田, 哲史
WEKO
98
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| 内容記述 | In this study, we have focused on the two-to-one maps and developed the numerical method to calculate the unstable periodic points (UPPs), based on the theory of the symbolic dynamical system. The core technique of the method is the definition of a non-deterministic map G. From the experimental result of three typical maps: logistic map, tent map, and Bernoulli map, we have confirmed the proposed method works very well within the defined errors. Our method has the following advantages: the method converges rapidly as the period of the target UPP is larger; we can choose the target UPP regardless of its cause (any bifurcation is not a matter); we can find the UPPs that are always unstable in the given parameter range. The convergence of the method is guaranteed by two standpoints: the corresponding symbolic dynamical system, and the asymptotic stability of UPP of G. Hereby, the error of the convergence is scalable according to the numeric precision of the software. | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | two-to-one map | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | unstable periodic point | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | symbolic dynamical system | |||||||||||||||||
| 書誌情報 |
en : Nonlinear Theory and Its Applications, IEICE 巻 13, 号 2, p. 215-220, 発行日 2022-04-01 |
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| 収録物識別子タイプ | ISSN | |||||||||||||||||
| 収録物識別子 | 21854106 | |||||||||||||||||
| 出版者 | ||||||||||||||||||
| 出版者 | The Institute of Electronics, Information and Communication Engineers | |||||||||||||||||
| 権利情報 | ||||||||||||||||||
| 権利情報 | ©IEICE 2022 | |||||||||||||||||
| EID | ||||||||||||||||||
| 識別子 | 383803 | |||||||||||||||||
| 言語 | ||||||||||||||||||
| 言語 | eng | |||||||||||||||||
