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差分方程式の安定性とカオス解析
https://doi.org/10.14988/pa.2017.0000012185
https://doi.org/10.14988/pa.2017.00000121858c7640f4-a8fe-4b81-bd68-8ae6c84e30ec
名前 / ファイル | ライセンス | アクション |
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023051020005.pdf (632.6 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||
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公開日 | 2010-08-26 | |||||||||||
タイトル | ||||||||||||
言語 | ja | |||||||||||
タイトル | 差分方程式の安定性とカオス解析 | |||||||||||
タイトル | ||||||||||||
言語 | ja-Kana | |||||||||||
タイトル | サブン ホウテイシキ ノ アンテイセイ ト カオス カイセキ | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Analysis of stability and chaos concerning difference equations | |||||||||||
言語 | ||||||||||||
言語 | jpn | |||||||||||
キーワード | ||||||||||||
主題 | 差分方程式, 安定性, カオス, リアプノフの第2方法, 常微分方程式 difference equation, stability, chaos, Liapunov's second method, ordinary differential equation |
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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 | |||||||||||
ID登録 | ||||||||||||
ID登録 | 10.14988/pa.2017.0000012185 | |||||||||||
ID登録タイプ | JaLC | |||||||||||
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 | |||||||||||
著者 |
齋藤, 誠慈
× 齋藤, 誠慈
WEKO
16007
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著者所属 | ||||||||||||
ja | ||||||||||||
同志社大学理工学部数理システム学科教授 | ||||||||||||
著者所属(英) | ||||||||||||
en | ||||||||||||
Doshisha University | ||||||||||||
所属機関識別子種別 | ||||||||||||
値 | kakenhi | |||||||||||
所属機関識別子 | ||||||||||||
値 | 34310 | |||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | 本報告では,ワルラス則に従う経済学モデル,数理生物学モデル,赤血球密度モデル,ロトカ・ボルテラ方程式から生ずる差分方程式を扱い,それらの系につき,リアプノフの第2方法やカオス判定法を応用して,安定性とカオスを議論する. | |||||||||||
言語 | ja | |||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | In this paper we deal with difference equations arising from economics models with the Walras' law, mathematical models in biology, red blood density models and the Lotka-Volterra's equations. Moreover we discuss the stability and chaos of the systems by applying the Liapunov's second method and chaos criteria. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
ja : 同志社大学理工学研究報告 en : The Science and Engineering Review of Doshisha University 巻 51, 号 2, p. 32-39, 発行日 2010-07-31 |
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出版者 | ||||||||||||
言語 | ja | |||||||||||
出版者 | 同志社大学理工学研究所 | |||||||||||
出版者(英) | ||||||||||||
言語 | en | |||||||||||
出版者 | Science and Engineering Research Institute of Doshisha University | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 00368172 | |||||||||||
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収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AN00165868 | |||||||||||
権利者情報 | ||||||||||||
権利者名 | 同志社大学理工学研究所 | |||||||||||
言語 | ja | |||||||||||
権利者名 | Science and Engineering Research Institute of Doshisha University | |||||||||||
言語 | en | |||||||||||
関連サイト | ||||||||||||
関連タイプ | isFormatOf | |||||||||||
識別子タイプ | URI | |||||||||||
関連識別子 | https://doors.doshisha.ac.jp/opac/opac_link/bibid/SB00960326/?lang=0 | |||||||||||
言語 | ja | |||||||||||
関連名称 | 掲載刊行物所蔵情報へのリンク / Link to Contents | |||||||||||
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内容記述タイプ | Other | |||||||||||
内容記述 | application/pdf | |||||||||||
出版タイプ | ||||||||||||
出版タイプ | VoR | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
日本十進分類法 | ||||||||||||
主題 | 413.8 |