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Recurrence Analysis of Converging and Diverging Trajectories in the Mandelbrot Set
https://jumonji-u.repo.nii.ac.jp/records/67
https://jumonji-u.repo.nii.ac.jp/records/6778a94bc2-a0e3-453a-9a32-03803d0ce77a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
4714-155-162.pdf (736.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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| 公開日 | 2017-06-01 | |||||
| タイトル | ||||||
| タイトル | Recurrence Analysis of Converging and Diverging Trajectories in the Mandelbrot Set | |||||
| タイトル | ||||||
| タイトル | Recurrence Analysis of Converging and Diverging Trajectories in the Mandelbrot Set | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 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 | departmental bulletin paper | |||||
| 著者 |
池川, 繁樹
× 池川, 繁樹× Webber, Charles L. Jr.× IKEGAWA, Shigeki× Webber, Charles L. Jr. |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Iterated dynamics of the Mandelbrot set (M-set) were studied at paired points close to, but on either side of seven specific borders regions. Cross recurrence analysis of the real versus imaginary variables of the converging and diverging trajectories were found to be similar until the final divergence was manifested after hundreds of iterations. This study show that recurrence strategies can be used to study the sensitive dependence of M-set dynamics on initial conditions of the Mandelbrot chaotic attractor. | |||||
| 書誌情報 |
十文字学園女子大学紀要 en : Bulletin of Jumonji University 巻 47, p. 155-162, 発行日 2017-03-24 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 2424-0591 | |||||
