A transition among attractors in dynamical systems and its functional roles

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18300079
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Sensitivity informatics/Soft computing
• Research Institution: Kyoto University
• Principal Investigator: AOYAGI Toshio Kyoto University, 情報学研究科, 講師 (90252486)
• Project Period (FY): 2006 – 2009
• Keywords: 脳 / ネットワ-ク / リズム / アトラクタ- / 力学系

Research Abstract

高度な機能や情報処理を行うシステムは、しばしば複雑な相互作用をした非線形力学系である。例えば、生物の免疫ネットワ-ク・遺伝子や酵素反応ネットワ-ク・神経ネットワ-クなどは、いろいろな基本的要素が非線形相互作用することにより高度な機能を発現している良い例である。このような系を詳しく研究し、機能発現のメカニズムを知ることは将来、新たな情報処理原理や生体と同じような柔軟な計算システムを開発する基礎となると考えられる。そこで本研究では、非線形力学系が機能を発現する場合に共通に重要な特性と考えられる以下の2点に関して研究を行う。
(1)アトラクタ-間遷移と時空間パタ-ン
(2)ネットワ-ク構造と機能の関係性

Research Products

• [Journal Article] Recurrent infomax generates cell assemblies, neuronal avalanches, and simple cell-like selectivity (2009)
  • Author(s): Takuma Tanaka, Takeshi Kaneko and Toshio Aoyagi
  • Journal Title: Neural Computation vol.21, no4 Pages: 1038-1067
  • Peer Reviewed
• [Journal Article] Co-evolution of phases and connection strengths in a network of phase oscillators (2009)
  • Author(s): Takaaki Aoki & Toshio Aoyagi
  • Journal Title: Physical Review Letters vol.102, Issue 3 Pages: 034101
  • Peer Reviewed
• [Journal Article] Ordering Process of Self-Organizing Maps Improved by Asymmetric Neighborhood Function, Takaaki Aoki , Kaiichiro Ota (2009)
  • Author(s): Koji Kurata & Toshio Aoyagi
  • Journal Title: Cognitive Neurodynamics vol.3 Pages: 9-15
  • Peer Reviewed
• [Journal Article] Optimal weighted networks of phase oscillators for synchronization (2008)
  • Author(s): Takuma Tanaka & Toshio Aoyagi
  • Journal Title: Physical Review E vol.78, Issue.4 Pages: 046210
  • Peer Reviewed
• [Journal Article] Weighted scale-free networks with variable power-law exponents (2008)
  • Author(s): Takuma Tanaka, Toshio Aoyagi
  • Journal Title: Physica D vol.237, no7 Pages: 898-907
  • Peer Reviewed
• [Journal Article] Synchrony-induced switching behavior of spike-pattern attractors created by spike-timing dependent plasticity (2007)
  • Author(s): Takaaki Aoki & Toshio Aoyagi
  • Journal Title: Neural Computation vol.19, no10 Pages: 2720-2738
  • Peer Reviewed
• [Journal Article] Synchronous and asynchronous bursting states : role of intrinsic neural dynamics (2007)
  • Author(s): Takashi Takekawa, Toshio Aoyagi, Tomoki Fukai
  • Journal Title: Journal of Computational Neuroscience vol.23, no 2 Pages: 189-200
  • Peer Reviewed
• [Journal Article] Self-Organizing maps with Asymmetric Neighborhood function (2007)
  • Author(s): Takaaki Aoki & Toshio Aoyagi
  • Journal Title: Neural Computation vol.19, no.8 Pages: 2525-2535
  • Peer Reviewed
• [Journal Article] Dynamics in Co-evolving Networks of Active Elements
  • Author(s): Takuma Tanaka, Takaaki Aoki and Toshio Aoyagi
  • Journal Title: FORMA (in press)
  • Peer Reviewed
• [Journal Article] Estimation of functional connectivity that causes burst-like population activities
  • Author(s): Masaki Nomura, Daisuke Ito, Hiroki Tamate, Kazutoshi Gohara and Toshio Aoyagi
  • Journal Title: FORMA (in press)
  • Peer Reviewed
• [Presentation] 周期の揺らぎで重みを付けたスパイクトリガ-平均からの位相応答関数の抽出 (2009)
  • Author(s): 青柳富誌生
  • Organizer: リズム現象の研究会IV
  • Place of Presentation: お茶の水大学(招待講演)
  • Year and Date: 2009-01-26
• [Presentation] 動的素子のネットワ-クの数理 (2008)
  • Author(s): 青柳富誌生
  • Organizer: 第66回形の科学シンポジウム
  • Place of Presentation: 京都大学(招待講演)
  • Year and Date: 2008-10-31
• [Book] リズム活動と位相応答(神経ダイナミクスと情報表現)
  • Author(s): 青柳富誌生
  • Total Pages: 4章
  • Publisher: 東大出版(出版予定)
• [Book] 神経細胞の数理モデル
  • Author(s): 青柳富誌生
  • Total Pages: 5章1節
  • Publisher: 数理科学事典(丸善)(出版予定)
• [Book] 細胞集団の同期
  • Author(s): 青柳富誌生
  • Total Pages: 5章2節
  • Publisher: 数理科学事典(丸善)(出版予定)