電子回路で構成したdelay-induced oscillationにおける位相応答関数の導出および同期特性の評価

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2015/07/01

タイトル(英語): Derivation of Experimental Phase Response Curves of a Delay-induced Oscillation Composed with an Electrical Circuit

著者名: 赤尾　旭彦（東京大学大学院新領域創成科学研究科），小川　雄太郎（東京大学大学院新領域創成科学研究科），下野　勇希（東京大学大学院新領域創成科学研究科），山口　郁博（東京大学大学院教育学研究科），小谷　潔（東京大学先端科学技術研究センター／独立行政法人科学技術振興機構,さきがけ），神保　泰彦（東京大学大学院工学系研究科）

著者名(英語): Akihiko Akao (Graduate School of Frontier Sciences, The University of Tokyo), Yutaro Ogawa (Graduate School of Frontier Sciences, The University of Tokyo), Yuki Shimono (Graduate School of Frontier Sciences, The University of Tokyo), Ikuhiro Yamaguchi (Graduate School of Education, The University of Tokyo), Kiyoshi Kotani (Research Center for Advanced Science and Technology, The University of Tokyo/JST, PRESTO), Yasuhiko Jimbo (Graduate School of Engineering, The University of Tokyo)

キーワード: 遅延起因振動，位相縮約，位相応答関数，Mackey-Glass回路　　Delay-induced oscillation，Phase reduction，Phase response curve，Mackey-Glass circuit

要約(英語): Delay-induced oscillations are widely observed in biological systems such as gene regulation and neural activities. Synchronization among delay-induced oscillations plays important roles in physiology. Therefore, it is significant to establish a method to analyze synchronization properties of delay-induced oscillations. Phase reduction is a mathematical method to analyze such synchronization phenomena. Recently, phase reduction was extended to analyze mathematical models of delay-induced oscillations. However, derivation of synchronization properties of an experimental delay-induced oscillation from phase reduction of its mathematical model has yet to be demonstrated. Here, we demonstrated the validity of a method to derive synchronization properties of a delay-induced oscillation from phase reduction. We generated a delay-induced oscillation experimentally by an electrical circuit. We derived phase response curve and synchronization conditions with periodic external forces by two methods: phase reduction and electrical experiment. We compared the results of the two methods, then phase response curves and synchronization conditions were generally consistent between the two methods. In conclusion, the validity of a method to derive synchronization properties of a delay-induced oscillation from phase reduction was indicated.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.135 No.7 （2015） 特集：平成26 年電子・情報・システム部門大会

本誌掲載ページ: 819-825 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejeiss/135/7/135_819/_article/-char/ja/