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Reversal-time dynamics of two-dimensional non-autonomous systems
https://tokushima-u.repo.nii.ac.jp/records/2012317
https://tokushima-u.repo.nii.ac.jp/records/2012317bd6554d4-6088-49e7-8f72-75bb8187cf19
| 名前 / ファイル | ライセンス | アクション |
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nolta_16_1_147.pdf (576 KB)
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| Item type | 文献 / Documents(1) | |||||||||||||
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| 公開日 | 2025-01-31 | |||||||||||||
| アクセス権 | ||||||||||||||
| アクセス権 | open access | |||||||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||||
| 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.16.147 | |||||||||||||
| 関連名称 | 10.1587/nolta.16.147 | |||||||||||||
| 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 | Reversal-time dynamics of two-dimensional non-autonomous systems | |||||||||||||
| 著者 |
Katayama, Michiru
× Katayama, Michiru
× 上田, 哲史
WEKO
98
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| 抄録 | ||||||||||||||
| 内容記述 | This study, we discusses the topological type of nonautonomous systems with periodic solutions when the time variable t increases negatively. When linear approximation holds near a fixed point of the Poincaré map, we confirm that the bifurcation points where the fixed point becomes nonhyperbolic are invariant regardless of the time direction however, the stability of the fixed point is changed. Consequently, we show that two-dimensional bifurcation diagrams obtained by the brute-force method give different results for positive and reversal-time variable systems; however, the bifurcation curves are identical. The inverted time variable system is useful for visualizing the completely unstable fixed point, because the repeller can be observed as an attractor. Furthermore, in certain models, chaotic attractors with a wide parameter range exist in reversal time variable systems. | |||||||||||||
| キーワード | ||||||||||||||
| 主題 | bifurcation | |||||||||||||
| キーワード | ||||||||||||||
| 主題 | chaos | |||||||||||||
| キーワード | ||||||||||||||
| 主題 | reversal-time | |||||||||||||
| キーワード | ||||||||||||||
| 主題 | diode | |||||||||||||
| 書誌情報 |
en : Nonlinear Theory and Its Applications, IEICE 巻 16, 号 1, p. 147-156, 発行日 2025-01-01 |
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| 収録物ID | ||||||||||||||
| 収録物識別子タイプ | EISSN | |||||||||||||
| 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 2025 This work is licensed under a Creative Commons Attribution Non Commercial, No Derivatives 4.0 License. | |||||||||||||
| EID | ||||||||||||||
| 識別子 | 415044 | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | eng | |||||||||||||
