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Chaotic pulses for discrete reaction diffusion systems
https://hiroshima.repo.nii.ac.jp/records/2008776
https://hiroshima.repo.nii.ac.jp/records/2008776b2da3186-b96c-40b1-83f2-0e826ac9a6f9
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
SIAM_J_AppDynSys4_723.pdf (4.3 MB)
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| Item type | デフォルトアイテムタイプ_（フル）(1) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2023-03-18 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Chaotic pulses for discrete reaction diffusion systems | |||||||||||
| 言語 | en | |||||||||||
| 作成者 |
Nishiura, Y
× Nishiura, Y
× Ueyama, Daishin
× Yanagita, T
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| 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 | |||||||||||
| 権利情報 | ||||||||||||
| 権利情報 | Copyright (c) 2005 Society for Industrial and Applied Mathematics | |||||||||||
| 主題 | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Bifurcation theory | |||||||||||
| 主題 | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Chaos | |||||||||||
| 主題 | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Dissipative systems | |||||||||||
| 主題 | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Lattice differential equation | |||||||||||
| 主題 | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | LDE | |||||||||||
| 主題 | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Localized pulse | |||||||||||
| 主題 | ||||||||||||
| 主題Scheme | NDC | |||||||||||
| 主題 | 410 | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | Existence and dynamics of chaotic pulses on a one-dimensional lattice are discussed. Traveling pulses arise typically in reaction diffusion systems like the FitzHugh-Nagumo equations. Such pulses annihilate when they collide with each other. A new type of traveling pulse has been found recently in many systems where pulses bounce off like elastic balls. We consider the behavior of such a localized pattern on one-dimensional lattice, i.e., an infinite system of ODEs with nearest interaction of diffusive type. Besides the usual standing and traveling pulses, a new type of localized pattern, which moves chaotically on a lattice, is found numerically. Employing the strength of diffusive interaction as a bifurcation parameter, it is found that the route from standing pulse to chaotic pulse is of intermittent type. If two chaotic pulses collide with appropriate timing, they form a periodic oscillating pulse called a molecular pulse. Interaction among many chaotic pulses is also studied numerically. | |||||||||||
| 出版者 | ||||||||||||
| 出版者 | Society for Industrial and Applied Mathematics | |||||||||||
| 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 | journal article | |||||||||||
| 出版タイプ | ||||||||||||
| 出版タイプ | AO | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce | |||||||||||
| 関連情報 | ||||||||||||
| 識別子タイプ | DOI | |||||||||||
| 関連識別子 | 10.1137/040608714 | |||||||||||
| 関連情報 | ||||||||||||
| 関連タイプ | isVersionOf | |||||||||||
| 識別子タイプ | DOI | |||||||||||
| 関連識別子 | http://dx.doi.org/10.1137/040608714 | |||||||||||
| 収録物識別子 | ||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||
| 収録物識別子 | 1536-0040 | |||||||||||
| 開始ページ | ||||||||||||
| 開始ページ | 733 | |||||||||||
| 書誌情報 |
SIAM Journal on Applied Dynamical Systems SIAM Journal on Applied Dynamical Systems 巻 4, 号 3, p. 733-754, 発行日 2005 |
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| 旧ID | 14679 | |||||||||||
