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Measuring Chaos: Topological Entropy and Correlation Dimension in Discrete Maps
https://kindai.repo.nii.ac.jp/records/11152
https://kindai.repo.nii.ac.jp/records/111524da8ad16-18c8-4729-8473-d3f87053b262
| 名前 / ファイル | ライセンス | アクション |
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AN10074306-20120228-0011.pdf (860.2 kB)
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| Item type | ☆紀要論文 / Departmental Bulletin Paper(1) | |||||||||||||||||
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| 公開日 | 2012-04-11 | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | Measuring Chaos: Topological Entropy and Correlation Dimension in Discrete Maps | |||||||||||||||||
| 言語 | en | |||||||||||||||||
| 著者 |
SAHA, L. M.
× SAHA, L. M.
× PRASAD, Sadanand
× YUASA, Manabu
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| 言語 | ||||||||||||||||||
| 言語 | eng | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | Topological entropy, Correlation dimension, Lyapunov exponents, Chaotic attractors | |||||||||||||||||
| 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(英) | ||||||||||||||||||
| 言語 | en | |||||||||||||||||
| 著者(英) | ||||||||||||||||||
| 言語 | en | |||||||||||||||||
| 著者(英) | ||||||||||||||||||
| 言語 | en | |||||||||||||||||
| 値 | 湯浅, 学 | |||||||||||||||||
| 著者 所属 | ||||||||||||||||||
| 値 | IIIMIT, Shiv Nadar University | |||||||||||||||||
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| 値 | Department of Mathematics, University of Delhi | |||||||||||||||||
| 著者 所属 | ||||||||||||||||||
| 値 | Research Institute for Science and Technology, Kinki University | |||||||||||||||||
| 著者所属(翻訳) | ||||||||||||||||||
| 著者所属(翻訳) | ||||||||||||||||||
| 著者所属(翻訳) | ||||||||||||||||||
| 値 | 近畿大学理工学総合研究所 | |||||||||||||||||
| 版 | ||||||||||||||||||
| 出版タイプ | VoR | |||||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||||
| 出版者 名前 | ||||||||||||||||||
| 出版者 | 近畿大学理工学総合研究所 | |||||||||||||||||
| 書誌情報 |
理工学総合研究所研究報告 en : Annual reports by Research Institute for Science and Technology 号 24, p. 11-23, 発行日 2012-02-01 |
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| ISSN | ||||||||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||||||||
| 収録物識別子 | 09162054 | |||||||||||||||||
| 抄録 | ||||||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||||||
| 内容記述 | [Abstract] Nonlinear systems may exhibit chaos during evolution and at the state of chaos one sees the emergence of certain chaotic attractors. Chaotic set appears during the phenomena of bifurcations while varying certain parameter. The Lyapunov characteristic exponents (LCE) and topological entropies are both suitable tools for description of the transition to chaos. Plots of both of these indicators are similar as for identification of chaos. But LCE has limitation that it would not work for systems having relativistic considerations. However, the topological entropy is considered as a nice way to measure the complexity of a system such as chaos in the sense that the more complexity in the system means more topological entropy it will have. In the present work, appearance of chaos through bifurcation in some one dimensional discrete nonlinear systems have been considered and plots of Lyapunov exponents and topological entropy for such evolution have been obtained. Then, the calculation of correlation dimensions of such chaotic sets, chaotic attractors, have been carried out. Graphical results reveal some interesting informations. | |||||||||||||||||
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| 内容記述タイプ | Other | |||||||||||||||||
| 内容記述 | application/pdf | |||||||||||||||||
