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: 2012/10/01タイトル(英語): Corticothalamic Model with Time Delay Reduced to a Real Ginzburg-Landau Equation著者名: 山口 郁博（東京大学新領域創成科学研究科），小川 雄太郎（東京大学新領域創成科学研究科），中尾 裕也（東京工業大学大学院情報理工学研究科），神保 泰彦（東京大学新領域創成科学研究科），小谷 潔（東京大学新領域創成科学研究科）著者名(英語): Ikuhiro Yamaguchi (The University of Tokyo), Yutaro Ogawa (The University of Tokyo), Hiroya Nakao (Gaduate School of Information Science and Engineering, Tokyo Institute of Technology), Yasuhiko Jimbo (The University of Tokyo), Kiyoshi Kotani (The University of Tokyo)キーワード: 皮質-視床，時間遅れ，ギンツブルグ-ランダウ方程式，ピッチフォーク分岐，縮約，相転移 corticothalamic，time-delay，Ginzburg-Landau equation，pitchfork bifurcation，reduction，phase transition要約(英語): The corticothalamic Compact Model with time delay proposed by Kim and Robinson is successfully reduced to a real Ginzburg-Landau equation in the vicinity of pitchfork bifurcation point, using center manifold theory for functional differential equations and perturbation theory of week interactions. Broad agreement between the predictions with the reduced equation and corresponding numerical results with the original equation are confirmed in transient analysis of single-body and two-body problem, with emphasis that a "projection to the center subspace" is essential. Furthermore, analogies with Ginzburg-Landau theory of phase transition and with theory developed by Benayoun et al. of neural avalanches are pointed out.本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.132 No.10 （2012） 特集：医療関連電子技術のニュートピック本誌掲載ページ: 1563-1574 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/132/10/132_1563/_article/-char/ja/
