WEKO3
アイテム
Love Affairs Dynamics with One Delay in Losing Memory or Gaining Affection
https://chuo-u.repo.nii.ac.jp/records/7396
https://chuo-u.repo.nii.ac.jp/records/73961f006572-a52a-4862-86ad-780121b83c89
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
本文を見る (479.3 kB)
|
|
| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2016-04-25 | |||||||||
| タイトル | ||||||||||
| タイトル | Love Affairs Dynamics with One Delay in Losing Memory or Gaining Affection | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Love Dynamics | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Delay Differential Equation | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Cross-Reaction Delay | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Hopf bifurcation | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Stability Switch | |||||||||
| 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 |
MATSUMOTO, Akio
× MATSUMOTO, Akio
× SZIDAROVSZKY, Ferenc
|
|||||||||
| 著者別名 | ||||||||||
| 識別子Scheme | WEKO | |||||||||
| 識別子 | 27290 | |||||||||
| 姓名 | 松本, 昭夫 | |||||||||
| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | A dynamic model of a love affair between two people is examined under different conditions. First the two-dimensional model is analyzed without time delays in the interaction of the lovers. Conditions are derived for the existence of a unique as well as for multiple steady states. The nonzero steady states are always stable and the stability of the zero steady state depends on model parameters. Then a delay is assumed in the mutual-reaction process called the Gaining-affection process. Similarly to the no delay case, the nonzero steady states are always stable. The zero steady state is either always stable or always unstable or it is stable for small delays and at a certain threshold stability is lost in which case the steady state bifurcates to a limit cycle. When delay is introduced to the self-reaction process called the Losing-memory process, then the asymptotic behavior of the steady state becomes more complex. The stability of the nonzero steady state is lost at a certain value of the delay and bifurcates to a limit cycle, while the stability of the zero steady state depends on model parameters and there is the possibility of multiple stability switches with stability losses and regains. All stability conditions and stability switches are derived analytically, which are also verified and illustrated by using computer simulation. | |||||||||
| 書誌情報 |
経済研究所 Discussion Paper en : IERCU Discussion Paper 巻 260, 発行日 2016-02-01 |
|||||||||
| 出版者 | ||||||||||
| 出版者 | 中央大学経済研究所 | |||||||||
| 権利 | ||||||||||
| 権利情報 | この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。 | |||||||||
| フォーマット | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | application/pdf | |||||||||
| 著者版フラグ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
