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2009 Fiscal Year Final Research Report

A transition among attractors in dynamical systems and its functional roles

Research Project

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Project/Area Number 18300079
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Sensitivity informatics/Soft computing
Research InstitutionKyoto University

Principal Investigator

AOYAGI Toshio  Kyoto University, 情報学研究科, 講師 (90252486)

Project Period (FY) 2006 – 2009
Keywords脳 / ネットワーク / リズム / アトラクター / 力学系
Research Abstract

Many real-world complex systems investigated in engineering, biology, and the social sciences can be regarded as dynamical networks of active elements in which the coupling connections and the states of the elements evolve simultaneously. We have first studied an evolving recurrent network in which phase oscillators and synaptic weights interact with each other. We found that the system exhibits three states: two-cluster, coherent with a fixed phase relation, chaotic states with frustration. We believe that, because of its structural stability, our model will provide a framework for describing essential behavior in co-evolving systems.

  • Research Products

    (44 results)

All 2009 2008 2007 Other

All Journal Article (31 results) (of which Peer Reviewed: 17 results) Presentation (10 results) Book (3 results)

  • [Journal Article] Weighted spike-triggered average of a fluctuating stimulus yielding the phase response curve2009

    • Author(s)
      Kaiichiro Ota, Masaki Nomura, Toshio Aoyagi
    • Journal Title

      Physical Review Letters vol.103,Issue 2

      Pages: 024101

    • Peer Reviewed
  • [Journal Article] Dynamics in Co-evolving Networks of Active Elements2009

    • Author(s)
      akuma Tanaka, Takaaki Aoki, Toshio Aoyagi
    • Journal Title

      FORMA Vol.24(No.1)

      Pages: 17-22

    • Peer Reviewed
  • [Journal Article] Estimation of functional connectivity that causes burst-like population activities2009

    • Author(s)
      Masaki Nomura, Daisuke Ito, Hiroki Tamate, Kazutoshi Gohara, Toshio Aoyagi
    • Journal Title

      FORMA Vol.24(No.1)

      Pages: 11-16

    • Peer Reviewed
  • [Journal Article] Recurrent infomax generates cell assemblies, neuronal avalanches, and simple cell-like selectivity2009

    • Author(s)
      akuma Tanaka, Takeshi Kaneko, Toshio Aoyagi
    • Journal Title

      Neural Computation vol.21,no.4

      Pages: 1038-1067

    • Peer Reviewed
  • [Journal Article] Co-evolution of phases and connection strengths in a network of phase oscillators2009

    • Author(s)
      Takaaki Aoki, Toshio Aoyagi
    • Journal Title

      Physical Review Letters vol.102,Issue3

      Pages: 034101

    • Peer Reviewed
  • [Journal Article] Ordering Process of Self-Organizing Maps Improved by Asymmetric Neighborhood Function2009

    • Author(s)
      Takaaki Aoki, Kaiichiro Ota, Koji Kurata, Toshio Aoyagi
    • Journal Title

      Cognitive Neurodynamics Vol.3

      Pages: 9-15

    • Peer Reviewed
  • [Journal Article] A Novel Method of estimating the phase response function-Weighted spike-triggered average of fluctuating stimulus-2009

    • Author(s)
      Toshio Aoyagi, Kaiichiro Ota
    • Journal Title

      Proceedings of 3nd International Symposium on Mobiligence in Awaji

      Pages: 379-382

    • Peer Reviewed
  • [Journal Article] Dendritic shape and EPSP conduction of cortical nonpyramidal cells2009

    • Author(s)
      Yoshiyuki Kubota, Fuyuki Karube, Masaki Nomura, Toshio Aoyagi, Yasuo Kawaguchi
    • Journal Title

      Neuroscience Research Volume65,Supplement1

      Pages: S84

  • [Journal Article] Estimated connections that capture population burst-like activities2009

    • Author(s)
      Masaki Nomura, Daisuke Ito, Hiroki Tamate, Kazutoshi Gohara, Toshio Aoyagi
    • Journal Title

      Neuroscience Research Volume65,Supplement1

      Pages: S232

  • [Journal Article] Higher-order structures in natural scenes2009

    • Author(s)
      Takuma Tanaka, Toshio Aoyagi, Takeshi Kaneko
    • Journal Title

      Neuroscience Research Volume65,Supplement1

      Pages: S109

  • [Journal Article] Experimental measurement of phase response curve employing fluctuation in rhythmic system2009

    • Author(s)
      Kaiichiro Ota, Masaki Nomura, Toshio Aoyagi
    • Journal Title

      Neuroscience Research Volume65,Supplement1

      Pages: S232

  • [Journal Article] Typical behaviors in co-evolving recurrent network of oscillatory neurons2009

    • Author(s)
      Takaaki Aoki, Toshio Aoyagi
    • Journal Title

      Frontiers in Systems Neuroscience. Conference Abstract: Computational and systems neuroscience

    • URL

      doi:10.3389/conf.neuro.06.2009.03.005

    • Peer Reviewed
  • [Journal Article] Optimal weighted networks of phase oscillators for synchronization2008

    • 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 exponents2008

    • Author(s)
      Takuma Tanaka, Toshio Aoyagi
    • Journal Title

      Physica D vol.237,no.7

      Pages: 898-907

    • Peer Reviewed
  • [Journal Article] Immunocytochemistry in low-density culture of neurons on multielectrode arrays is effective for identification of action-potential pathway2008

    • Author(s)
      Daisuke Ito, Hiroki Tamate, Masaki Nomura, Toshio Aoyagi, Kazutoshi Gohara
    • Journal Title

      Society for Neuroscience 38th annual meeting 797(CD-ROM)

      Pages: 16

    • Peer Reviewed
  • [Journal Article] Estimation of neuronal functional connectivity of cultured neuronal networks2008

    • Author(s)
      Masaki Nomura, Dausuke Ito, Hiroki Tamate, Kazutoshi Gohara, Toshio Aoyagi
    • Journal Title

      Neuroscience Research 61S

      Pages: S236

  • [Journal Article] Estimation of neuronal functional connectivity of rats' hippocampus CA1 performing a conditional discrimination task2008

    • Author(s)
      Masaki Nomura, Yoshio Sakura, Toshio Aoyagi
    • Journal Title

      Neuroscience Research 61S

      Pages: S251

  • [Journal Article] A novel method of measurement for phase response curves under noisy current injection2008

    • Author(s)
      Kaiichiro Ota, Masaki Nomura, Toshio Aoyagi
    • Journal Title

      Neuroscience Research 61S

      Pages: S73

  • [Journal Article] Recurrent Infomax generates cell assembly, firing sequence, neuronal avalanche, and simple cell-like selectivity2008

    • Author(s)
      Takuma Tanaka, Takeshi Kaneko, Toshio Aoyagi
    • Journal Title

      Neuroscience Research 61S

      Pages: S195

  • [Journal Article] Ordering Process of Self-Organizing Maps Improved by Asymmetric Neighborhood Function2008

    • Author(s)
      akaaki Aoki, Kaiichiro Ota, Koji Kurata, Toshio Aoyagi
    • Journal Title

      LNCS vol.4984

      Pages: 426-435

    • Peer Reviewed
  • [Journal Article] Synchrony-induced switching behavior of spike-pattern attractors created by spike-timing dependent plasticity2007

    • Author(s)
      Takaaki Aoki, Toshio Aoyagi
    • Journal Title

      Neural Computation Vol.19,No.10

      Pages: 2720-2738

    • Peer Reviewed
  • [Journal Article] Synchronous and asynchronous bursting states: role of intrinsic neural dynamics2007

    • Author(s)
      Takashi Takekawa, Toshio Aoyagi, Tomoki Fukai
    • Journal Title

      Journal of Computational Neuroscience vol.23,no2

      Pages: 189-200

    • Peer Reviewed
  • [Journal Article] Self-Organizing maps with Asymmetric Neighborhood function2007

    • Author(s)
      Takaaki Aoki, Toshio Aoyagi
    • Journal Title

      Neural Computation vol.19,no.8

      Pages: 2525-2535

    • Peer Reviewed
  • [Journal Article] Synchrony-Induced switching behavior of attractors in neural network organized by spike-timing dependent plasticity2007

    • Author(s)
      Takaaki Aoki, Toshio Aoyagi
    • Journal Title

      Proceedings of 2nd International Symposium on Mobiligence in Awaji

      Pages: 283-286

    • Peer Reviewed
  • [Journal Article] Dendritic dimensions of cortical nonpyramidal cells2007

    • Author(s)
      Yoshiyuki Kubota, Fuyuki Karube, Akio Sekigawa, Masaki Nomura, Toshio Aoyagi, Atsushi Mochizuki, Yasuo Kawaguchi
    • Journal Title

      Society for Neuroscience 37th annual meeting 470(CD-ROM)

      Pages: 20

  • [Journal Article] A cooperative dynamics of network of neural oscillators between the neuronal activity and the synatptic weight2007

    • Author(s)
      Takaaki Aoki, Toshio Aoyagi
    • Journal Title

      Neuroscience Research Volume58,Supplement1

      Pages: S112

  • [Journal Article] Presynaptic AMPA receptors on the corticostriatal terminals enhance the release probability of the synaptic vesicles2007

    • Author(s)
      Takuma Tanaka, Fumino Fujiyama, Masaki Nomura, Toshio Aoyagi, Takeshi Kaneko
    • Journal Title

      Neuroscience Research Volume58,Supplement1

      Pages: S211

  • [Journal Article] Dendritic dimensions of cortical nonpyramidal cells2007

    • Author(s)
      Yoshiyuki Kubota, Fuyuki Karube, Masaki Nomura, Toshio Aoyagi, Atsushi Mochizuki, Yasuo Kawaguchi
    • Journal Title

      Neuroscience Research Volume58,Supplement1

      Pages: S73

  • [Journal Article] Behavioral inference based on hippocampal multi-neuronal activities of rats2007

    • Author(s)
      Masaki Nomura, Yoshio Sakurai, Toshio Aoyagi
    • Journal Title

      Neuroscience Research Volume58,Supplement1

      Pages: S160

  • [Journal Article] Optimal weighted networks of phase oscillators maximizing frequency and phase orders, STATPHYS 232007

    • Author(s)
      Toshio Aoyagi, Yoshihiro Yoshii, Yukito Iba, Tsuyoshi Chawanya
    • Journal Title

      the 23rd International Conference on Statistical Physics of the International Union for Pure and Applied Physics (IUPAP)

      Pages: 225

  • [Journal Article] Kernel Analysis Of Multi-neuronal2007

    • Author(s)
      Spike Trains, Masaki Nomura, Yoshio Sakurai, Toshio Aoyagi
    • Journal Title

      2007 IEEE/ICME International Conference on Complex Medical Engineering-CME2007 (CD-ROM)

      Pages: 68-71

    • Peer Reviewed
  • [Presentation] A Novel Method of estimating the phase response function-Weighted spike-triggered average of fluctuating stimulus-2009

    • Author(s)
      Toshio Aoyagi
    • Organizer
      The 3nd International Symposium on Mobiligence in Awaji
    • Place of Presentation
      Awaji Yumebutai International Conference Center
    • Year and Date
      2009-11-21
  • [Presentation] 位相応答と周期の揺らぎの理論的関係とカオス系への応用への試み2009

    • Author(s)
      青柳富誌生
    • Organizer
      研究会『非線形の科学』第3回
    • Place of Presentation
      鹿児島大学理学部
    • Year and Date
      2009-06-23
  • [Presentation] 結合振動子ネットワークの最近の研究2009

    • Author(s)
      青柳富志生
    • Organizer
      京都算楽会第5回研究会
    • Place of Presentation
      京都会館
    • Year and Date
      2009-06-13
  • [Presentation] 周期的活動をしている素子のネットワークの数理モデル-神経系を中心として-2009

    • Author(s)
      青柳富誌生
    • Organizer
      第48回日本生体医工学会大会オーガナイズドセッション「振動子集団のちから」
    • Place of Presentation
      東京都タワーホール船堀
    • Year and Date
      2009-04-23
  • [Presentation] 周期の揺らぎで重みを付けたスパイクトリガー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
    • Year and Date
      2009-01-26
  • [Presentation] 動的素子のネットワークの数理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
    • Year and Date
      2008-10-31
  • [Presentation] 情報量最大化から見た神経ネットワークの回路構造と発火パターン2007

    • Author(s)
      青柳富誌生
    • Organizer
      生理学研究所研究会「理論と実験の融合による神経回路機能の統合的理解」
    • Place of Presentation
      自然科学研究機構岡崎カンファレンスセンター(口頭発表)
    • Year and Date
      2007-11-29
  • [Presentation] Optimal weighted networks of phase oscillators maximizing frequency and phase orders, STATPHYS 232007

    • Author(s)
      Toshio Aoyagi, Yoshihiro Yoshii, Yukito Iba, Tsuyoshi Chawanya
    • Organizer
      the 23rd International Conference on Statistical Physics of the International Union for Pure and Applied Physics (IUPAP)
    • Place of Presentation
      Genova, Italy
    • Year and Date
      2007-07-10
  • [Presentation] 神経ネットワーク情報表現解明の試み2007

    • Author(s)
      青柳富誌生
    • Organizer
      研究会第2回「非線形の次代」
    • Place of Presentation
      福井、福井大学文教キャンパスアカデミーホール
    • Year and Date
      2007-03-04
  • [Presentation] 非線形科学と統計科学の可能性2007

    • Author(s)
      青柳富誌生
    • Organizer
      非線形科学と統計科学の周辺ミニワークショップ
    • Place of Presentation
      京都
    • Year and Date
      2007-02-20
  • [Book] リズム活動と位相応答, 神経ダイナミクスと情報表現, 4章

    • Author(s)
      青柳富誌生
    • Publisher
      東大出版(出版予定)
  • [Book] 神経細胞の数理モデル, 数理科学事典, 5章1節

    • Author(s)
      青柳富誌生
    • Publisher
      丸善(出版予定)
  • [Book] 細胞集団の同期, 数理科学事典, 5章2節

    • Author(s)
      青柳富誌生
    • Publisher
      丸善(出版予定)

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Published: 2011-06-18   Modified: 2016-04-21  

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