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Invariant patterns in a non-invertible chaotic map by the directional coloring
https://tokushima-u.repo.nii.ac.jp/records/2007843
https://tokushima-u.repo.nii.ac.jp/records/2007843f2fd9e7e-e3b3-42c7-bd47-6a70aef27578
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
nolta_3_4_497.pdf (7.48 MB)
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| Item type | 文献 / Documents(1) | |||||||||||
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| 公開日 | 2020-07-13 | |||||||||||
| アクセス権 | ||||||||||||
| 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.3.497 | |||||||||||
| 関連名称 | 10.1587/nolta.3.497 | |||||||||||
| 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 | Invariant patterns in a non-invertible chaotic map by the directional coloring | |||||||||||
| 著者 |
上田, 哲史
× 上田, 哲史
WEKO
98
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| 抄録 | ||||||||||||
| 内容記述 | We propose a visualization method called the directional coloring for chaotic attractors in planer discrete systems. A color in the hue circle is assigned to the argument determined by the current point and its n-th mapped point. Some unstable n-periodic points embedded in the chaotic attractor become visible as radiation points and they can be accurately detected by combination of this coloring and the Newton's method. For a chaotic attractor in a non-invertible map, we find out invariant patterns around the fixed point and detect its nearest unstable n-periodic point. The computed results of their locations show a fractal property of the system. | |||||||||||
| キーワード | ||||||||||||
| 主題 | directional coloring | |||||||||||
| キーワード | ||||||||||||
| 主題 | chaos | |||||||||||
| キーワード | ||||||||||||
| 主題 | invariant pattern | |||||||||||
| キーワード | ||||||||||||
| 主題 | fractal | |||||||||||
| 書誌情報 |
en : Nonlinear Theory and Its Applications, IEICE 巻 3, 号 4, p. 497-507, 発行日 2012-10-01 |
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| 収録物ID | ||||||||||||
| 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 2012 | |||||||||||
| EID | ||||||||||||
| 識別子 | 248204 | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
