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The study on the scenarios for chaotic itinerancy

Research Project

Project/Area Number 18340021
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionHokkaido University

Principal Investigator

TSUDA Ichiro  Hokkaido University, 電子科学研究所, 教授 (10207384)

Co-Investigator(Kenkyū-buntansha) YURI Michiko  北海道大学, 大学院・理学研究院, 教授 (70174836)
TSUJII Masato  九州大学, 数理学研究院, 教授 (20251598)
NAMIKI Takao  北海道大学, 大学院・理学研究院, 教授 (40271712)
KOMURO Motomasa  帝京科学大学, 医療科学部, 教授 (00186818)
Project Period (FY) 2006 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥10,460,000 (Direct Cost: ¥8,600,000、Indirect Cost: ¥1,860,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2008: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2007: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2006: ¥2,400,000 (Direct Cost: ¥2,400,000)
Keywordsカオス力学系 / 非線形科学 / 複雑系科学 / 科学技術数学 / カオス的遍歴 / 高次元力学系 / on-off間欠性 / in-out間欠性 / ミルナーアトラクター / 出口集合 / 入り口集合 / カオス的不変集合 / ハイパーカオス / リドルドベイシン / 同期・非同期転移
Research Abstract

We have proposed four scenarios on the mechanisms of chaotic itinerancy : 1. the appearance of triplet {Milnor attractors, riddled basin, chaotic invariant set} ; 2. the presence of the invariant set on which the entrance and the exit sets appears such as on-off intermittency; 3. the appearance of normally hyperbolic invariant manifolds ; 4. the presence of fractal basin boundaries with multiple stable states. The other possibility under the appearance of hetero-dimensional cycle was also pointed out.

Report

(6 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report   Self-evaluation Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (121 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (31 results) (of which Peer Reviewed: 20 results) Presentation (76 results) Book (10 results) Remarks (4 results)

  • [Journal Article] Hypotheses on the functional roles of chaotic transitory dynamics2009

    • Author(s)
      I. Tsuda
    • Journal Title

      CHAOS 19

    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Iterated function systems in the hippocampal CA12009

    • Author(s)
      Shigeru Kuroda, Yasuhiro Fukushima, Yutaka Yamaguti, Minoru Tsukada, Ichiro Tsuda
    • Journal Title

      Cognitive Neurodynamics 3(3)

      Pages: 205-222

    • NAID

      120001492955

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On embedded bifurcation structure in some discretized vector fields2009

    • Author(s)
      Hunseok Kang, Ichiro Tsuda
    • Journal Title

      CHAOS 19

    • NAID

      120001538103

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Iterated function systems in the hippocampal CA12009

    • Author(s)
      Shigeru Kuroda
    • Journal Title

      Cognitive Neurodynamics 3

      Pages: 205-222

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On embedded bifurcation structure in some discretized vector fields2009

    • Author(s)
      Hunseok Kang
    • Journal Title

      CHAOS 19

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reward prediction based on stimulus categorization in primate lateral prefrontal cortex2008

    • Author(s)
      X. Pan, K. Sawa, I. Tsuda, M. Tsukada and M. Sakagami
    • Journal Title

      Nature Neuroscience 11(published online)

    • NAID

      40017188930

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Application of chaos theory to engine systems2008

    • Author(s)
      K. Matsumoto, H. Diebner, I. Tsuda and Y. Hosoi
    • Journal Title

      In Proc.of Small Engine Technology Conference, Society of Automotive Engineers 2008-32-0010(SAE)/20084710(JSAE)

    • NAID

      120001151947

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A Mathematical Model for the Hippocampus : Towards the Understanding of Episodic Memory and Imagination2008

    • Author(s)
      I. Tsuda, Y. Yamaguti, S.Kuroda, Y.Fukushima and M.Tsukada
    • Journal Title

      Prog. Theor. Phys. Suppl. 173

      Pages: 99-108

    • NAID

      110006880473

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] エピソード記憶 : 海馬のカオスモデル2008

    • Author(s)
      津田一郎
    • Journal Title

      応用数理 Vol.18, No.3, SEP.

      Pages: 2-19

    • NAID

      110006935929

    • Related Report
      2008 Self-evaluation Report
  • [Journal Article] エピソード記憶の数学的構造2008

    • Author(s)
      津田一郎
    • Journal Title

      BRAIN and NERVE 第60巻, 第7号

      Pages: 771-782

    • Related Report
      2008 Self-evaluation Report
  • [Journal Article] Reward prediction based on stimulus categorization in primate lateral prefrontal cortex.2008

    • Author(s)
      X. Pan
    • Journal Title

      Nature Neuroscience 11

      Pages: 703-712

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of chaos theory to engine systems2008

    • Author(s)
      K. Matsumoto
    • Journal Title

      In Proc. of Small Engine Technology C onference, Society of Automotive Engineers

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Number Created by the Interaction Between Consciousnes s and Memory : A Mathematical Basis for Preafference2008

    • Author(s)
      I. Tsuda
    • Journal Title

      Integrative Psychological and Behavio ral Science 42(2)

      Pages: 153-156

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Mathematical Model for the Hippocampus : Towards the Understanding of Episodic Memory and Imagination2008

    • Author(s)
      I. Tsuda
    • Journal Title

      Prog. Theor. Phys. Suppl. 173

      Pages: 99-108

    • NAID

      110006880473

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] エピソード記憶:海馬のカオスモデル2008

    • Author(s)
      津田一郎
    • Journal Title

      応用数理 Vol.18(3)

      Pages: 2-19

    • NAID

      110006935929

    • Related Report
      2008 Annual Research Report
  • [Journal Article] エピソード記憶の数学的構造2008

    • Author(s)
      津田一郎
    • Journal Title

      BRAIN and NERVE 第60巻(7)

      Pages: 771-782

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Chaos Reality in the Brain2007

    • Author(s)
      I. Tsuda, H. Fujii
    • Journal Title

      J. of Integrative Neuroscience 6

      Pages: 309-326

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Chaos Reality in the Brain2007

    • Author(s)
      I.Tsuda and H. Fujii
    • Journal Title

      J. of Integrative Neuroscience 6

      Pages: 309-326

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Spatial clustering property and its self-similarity in membrane potentials of hippocampal CAl pyramidal neurons for a spatio-temporal input sequence2007

    • Author(s)
      Y. Fukushima, M. Tsukada, I. Tsuda, Y. Yamaguti and S.Kuroda
    • Journal Title

      Cogn. Neurodyn 1

      Pages: 305-316

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Internal logic viewed from observation space: Theory and a case study2007

    • Author(s)
      M. Hatakeyama
    • Journal Title

      BioSystems 90

      Pages: 273-286

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Controlling Engine System: a Low-Dimensional Dynamics in a Spark Ignition Engine of a Motorcycle2007

    • Author(s)
      Kazuhiro Matsumoto
    • Journal Title

      Z. Naturforsch. 62a

      Pages: 587-595

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Chaos Reality in the Brain2007

    • Author(s)
      I. Tsuda
    • Journal Title

      J. of Integrative Neuroscience 6

      Pages: 309-326

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spatial clustering property and its self-similarity in membrane potentials of hippocampal CA1 pyramidal neurons for a spatio-temporal input sequence2007

    • Author(s)
      Y. Fukushima
    • Journal Title

      Cogn. Neurodyn 1

      Pages: 305-316

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] フィードバック結合を持つネットワークにおける入力シグナルの伝播と保持2007

    • Author(s)
      伊藤孝男
    • Journal Title

      物性研究 vol.87, No.4

      Pages: 598-599

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 脳の数理-動的脳の側面から2006

    • Author(s)
      津田一郎
    • Journal Title

      数学 第58巻、第2号

      Pages: 133-150

    • NAID

      10018387102

    • Related Report
      2009 Final Research Report
  • [Journal Article] 脳の数理-動的脳の側面から2006

    • Author(s)
      津田一郎
    • Journal Title

      数学 第58巻, 第2号

      Pages: 133-150

    • NAID

      10018387102

    • Related Report
      2008 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A mathematical model for the hippocampus : Toward the understanding of episodic memory2006

    • Author(s)
      Y.Yamaguti
    • Journal Title

      Abstracts : The 8th RIES-Hokudai International Symposium on [bi]

      Pages: 108-109

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Controlling engine data : Nonperiodic fluctuations in a spark ignition engine of motorcycle and its stabilization2006

    • Author(s)
      K.Matsumoto
    • Journal Title

      Abstracts : The 8th RIES-Hokudai International Symposium on [bi]

      Pages: 110-111

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Chaotic itinerancy in gap junction-coupled class I^* neurons2006

    • Author(s)
      S.Tadokoro
    • Journal Title

      Abstracts : The 8th RIES-Hokudai International Symposium on [bi]

      Pages: 112-113

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 脳の中のカオス2006

    • Author(s)
      津田一郎
    • Journal Title

      数学通信 第11巻第1号

      Pages: 6-14

    • NAID

      120000960546

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 脳の数理-動的脳の側面から2006

    • Author(s)
      津田一郎
    • Journal Title

      数学 第58巻第2号

      Pages: 133-150

    • NAID

      10018387102

    • Related Report
      2006 Annual Research Report
  • [Presentation] 結合力学系の分岐と進行波アトラクタ2010

    • Author(s)
      小室元政
    • Organizer
      2009年度冬の力学系研究集会
    • Place of Presentation
      東京工業大学 大岡山キャンパス
    • Year and Date
      2010-01-08
    • Related Report
      2009 Final Research Report
  • [Presentation] Transitory dynamics and its possible roles in the perception and dynamic memory in the brain2009

    • Author(s)
      I.Tsuda
    • Organizer
      Department of Mathematics, Zhejiang University, Special Seminar
    • Place of Presentation
      Zhejiang University, Hangzhou, China
    • Year and Date
      2009-11-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Top-down Mechanism of Perception : A Scenario on the Role for Layer 1 and 2/3 Projections Viewed from Dynamical Systems Theory2009

    • Author(s)
      Hiroshi Fujii
    • Organizer
      The 2nd International Conference on Cognitive Neurodynamics(ICCN'09)
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2009-11-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Representation of Time-series by a Self-similar Set in a Model of Hippocampal CA12009

    • Author(s)
      Yutaka Yamaguti
    • Organizer
      The 2nd International Conference on Cognitive Neurodynamics(ICCN'09)
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2009-11-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Emergence of Iterated Function Systems in the Hippocampal CA12009

    • Author(s)
      Shigeru Kuroda
    • Organizer
      The 2nd International Conference on Cognitive Neurodynamics(ICCN'09)
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2009-11-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] Chaotic Dynamics, Episodic Memory, and Self-identity2009

    • Author(s)
      I. Tsuda
    • Organizer
      The 2nd International Conference on Cognitive Neurodynamics (ICCN'09), Plenary talk
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2009-11-16
    • Related Report
      2009 Final Research Report
  • [Presentation] Chaotic Dynamics, Episodic Memory, and Self-identity2009

    • Author(s)
      I.Tsuda
    • Organizer
      The 2nd International Conference on Cognitive Neurodynamics(ICCN'09)
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2009-11-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Evolution through maps2009

    • Author(s)
      I.Tsuda
    • Organizer
      What is Biological Evolution?
    • Place of Presentation
      Coop-in-Kyoto, Kyoto
    • Year and Date
      2009-10-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Chaotic dynamics, episodic memory, and the dynamic model for the hippocampus2009

    • Author(s)
      I.Tsuda
    • Organizer
      12th JAPAN-SLOVENIA SEMINAR ON NONLINEAR SCIENCE
    • Place of Presentation
      Maribor, Slovenia
    • Year and Date
      2009-10-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Chaotic dynamics and episodic memory in the brain2009

    • Author(s)
      I.Tsuda
    • Organizer
      Budapest University of Technology and Economics, Special Seminar
    • Place of Presentation
      Budapest University of Technology and Economics, Budapest, Hungary
    • Year and Date
      2009-09-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] Cantor coding : Theory and experimental verification2009

    • Author(s)
      I.Tsuda
    • Organizer
      Section of Biophysics, Institute for Atomic and Nuclear Physics, Hungarian Academy of Science, Special Lecture
    • Place of Presentation
      Hungarian Academy of Science, Budapest, Hungary
    • Year and Date
      2009-09-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Chaotic brain dynamics in the skew product transformations, Invited talk, Section of Biophysics2009

    • Author(s)
      I. Tsuda
    • Organizer
      Institute for Atomic and Nuclear Physics
    • Place of Presentation
      Hungarian Academy of Science
    • Year and Date
      2009-09-21
    • Related Report
      2009 Final Research Report
  • [Presentation] Chaotic brain dynamics in the skew product transformations2009

    • Author(s)
      I.Tsuda
    • Organizer
      Section of Biophysics, Insititute for Atomic and Nuclear Physics, Hungarian Academy of Science, Special Lecture
    • Place of Presentation
      Hungarian Academy of Science, Budapest, Hungary
    • Year and Date
      2009-09-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Cantor Coding in a model of hippocampal CA12009

    • Author(s)
      Yutaka Yamaguti
    • Organizer
      第32回日本神経科学大会(Neuroscience 2009)
    • Place of Presentation
      名古屋市、名古屋国際会議場
    • Year and Date
      2009-09-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] 海馬におけるカオスとフラクタルのデュアルな関係-エピソード記憶の神経機構に関する数理モデル:予言と実証2009

    • Author(s)
      津田一郎
    • Organizer
      Dynamics of complex systems 2009-複雑系解析における未解決問題への新しい挑戦-
    • Place of Presentation
      北海道大学理学部5号館
    • Year and Date
      2009-09-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] エピソード記憶と推論からみた脳の数理:カオス的遍歴の役割2009

    • Author(s)
      津田一郎
    • Organizer
      生物物理若手の会第49回夏の学校
    • Place of Presentation
      支笏湖ユースホステル
    • Year and Date
      2009-08-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] A short-term information representation of episodic time series in the hippocampus2009

    • Author(s)
      I.Tsuda
    • Organizer
      Honda-Europe, Special Seminar
    • Place of Presentation
      Offenbach, Germany
    • Year and Date
      2009-07-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] エピソード記憶の神経機構に関する数理モデル:予言と実証2009

    • Author(s)
      津田一郎
    • Organizer
      応用数学連携フォーラム第8回ワークショップ「数学と脳科学」
    • Place of Presentation
      仙台市、東北大学
    • Year and Date
      2009-05-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] 結合力学系の分岐解析-CMLの一様1周期点の分岐について-2009

    • Author(s)
      小室元政
    • Organizer
      2008年度冬の力学系研究集会
    • Place of Presentation
      日本大学軽井沢研修所
    • Year and Date
      2009-01-12
    • Related Report
      2009 Final Research Report 2008 Self-evaluation Report
  • [Presentation] Evolution through maps, What is Biological Evolution?2009

    • Author(s)
      I. Tsuda
    • Organizer
      Invited talk, Coop-in-Kyoto
    • Place of Presentation
      Kyoto
    • Related Report
      2009 Final Research Report
  • [Presentation] Chaotic dynamics, episodic memory, and the dynamic model for the hippocampus2009

    • Author(s)
      I. Tsuda
    • Organizer
      Invited Talk, 12th JAPAN-SLOVENIA SEMINAR ON NONLINEAR SCIENCE
    • Related Report
      2009 Final Research Report
  • [Presentation] Dual relationship between chaos and fractal in the hippocampus : A mathematical model for the neural mechanism of episodic memory2009

    • Author(s)
      I. Tsuda
    • Organizer
      Invited talk, Dynamics of complex systems 2009
    • Place of Presentation
      Hokkaido University
    • Related Report
      2009 Final Research Report
  • [Presentation] 結合力学系における準周期進行アトラクターの発生・消滅・分岐のメカニズム2009

    • Author(s)
      小室元政
    • Organizer
      研究集会「双曲型力学系から大自由度力学系へ」
    • Place of Presentation
      京都大学情報メディアセンター (南館) 地下講義室
    • Related Report
      2009 Final Research Report
  • [Presentation] Hypotheses on the functional roles of chaotic transitory dynamics2009

    • Author(s)
      I. Tsuda
    • Organizer
      Invited talk, Dynamic Brain Forum'09 (DBF'09)
    • Place of Presentation
      Atami, Japan
    • Related Report
      2009 Final Research Report
  • [Presentation] Hypotheses on the functional roles of chaotic transitory dynamics2009

    • Author(s)
      I. Tsuda
    • Organizer
      International Conference for Nonlinear Sciences-SAPPORO WINTER SCHOOL, Conference Hall
    • Place of Presentation
      Hokkaido University
    • Related Report
      2009 Final Research Report
  • [Presentation] Chaotic itinerancy in the hippocampal CA3 and contractive affine transformations in CA1 provide a dynamical interpretation of complex memory2009

    • Author(s)
      Ichiro Tsuda
    • Organizer
      Invited talk : Neurocomputing (NC) meeting
    • Place of Presentation
      Centennial Hall, Hokkaido University
    • Related Report
      2009 Final Research Report
  • [Presentation] Dynamical systems and biological modeling : Application of chaotic dynamical systems to the brain dynamics2009

    • Author(s)
      I.Tsuda
    • Organizer
      Summer School on Dynamical Systems, 12-26 July 2009(Intensive Programme through the EU Lifelong Learning Programme)
    • Place of Presentation
      Gottingen, Germany
    • Related Report
      2009 Annual Research Report
  • [Presentation] 海馬の数学モデル : エピソード記憶の理解に向けて2008

    • Author(s)
      津田一郎
    • Organizer
      Motor Controlの会(日本ベーリンガーインゲルハイム主催)
    • Place of Presentation
      千里ライフサイエンスセンター(大阪府)
    • Year and Date
      2008-11-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Quasiperiodic traveling waves in coupled map lattices2008

    • Author(s)
      小室元政
    • Organizer
      2008年度RIMS研究集会 :「双曲性を超えた位相力学系の新展開 New Development in the study of Dynamical Systems beyond Uniform-Hyperbolicity
    • Place of Presentation
      京大数理解析研究所
    • Year and Date
      2008-10-01
    • Related Report
      2009 Final Research Report
  • [Presentation] Quasiperiodic traveling wave regions in coupled map lattices2008

    • Author(s)
      Motomasa Komuro
    • Organizer
      Dynamics Days Asia Pacific 5 (DDAP5) The 5th International Conference on Nonlinear Science
    • Place of Presentation
      奈良県新公会堂
    • Year and Date
      2008-09-10
    • Related Report
      2009 Final Research Report
  • [Presentation] Temporal metamorphosis as a dynamical mechanism of episodic memory2008

    • Author(s)
      Ichiro Tsuda
    • Organizer
      Dynamics Days Asia Pacific (DDAP5)
    • Place of Presentation
      Nara Public Hall
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Application of Chaos Theory to Engine Systems2008

    • Author(s)
      Kazuhiro Matsumoto
    • Organizer
      Small Engine Technology Conference
    • Place of Presentation
      Midwest Airlines Center. USA
    • Year and Date
      2008-09-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] 脳神経系における測定の理論2008

    • Author(s)
      津田一郎
    • Organizer
      Dynamics of Complex Systems, organized by M. Yuri
    • Place of Presentation
      北海道大学遠友学舎
    • Year and Date
      2008-09-01
    • Related Report
      2008 Annual Research Report
  • [Presentation] Temporal metamorphosis, Special lecture2008

    • Author(s)
      Ichiro Tsuda
    • Organizer
      Summer meeting of Hokkaido Branch in The Japan Institute of Metals & The Iron and Steel Institute of Japan
    • Place of Presentation
      Hokkaido University
    • Year and Date
      2008-07-24
    • Related Report
      2009 Final Research Report
  • [Presentation] 時間のメタモルフォーシス2008

    • Author(s)
      津田一郎
    • Organizer
      日本金属学会・鉄鋼協会北海道支部夏季講演大会
    • Place of Presentation
      北海道大学学術交流会館
    • Year and Date
      2008-07-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] 脳における時間のメタモルフォーシス2008

    • Author(s)
      津田一郎
    • Organizer
      数学教室大談話会
    • Place of Presentation
      北海道大学数学教室
    • Year and Date
      2008-07-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] 海馬CA1野錐体細胞の閾値上応答におけるカントール性2008

    • Author(s)
      福島康弘
    • Organizer
      第31回神経科学大会
    • Place of Presentation
      東京国際フォーラム
    • Year and Date
      2008-07-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Hippocampus follows transitory dynamics in an episodic context2008

    • Author(s)
      I. Tsuda
    • Organizer
      The 120th complex systems seminar
    • Place of Presentation
      理化学研究所(埼玉県和光市)
    • Year and Date
      2008-07-02
    • Related Report
      2008 Annual Research Report
  • [Presentation] エンジンシステムにおけるカオス性とその制御2008

    • Author(s)
      松本和宏
    • Organizer
      自動車技術会2008年春季大会
    • Place of Presentation
      パシフィコ横浜
    • Year and Date
      2008-05-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] 結合写像系における進行波アトラクタとカオス的遍歴 Traveling Wave Attractor and Chaotic Itenerancy in Coupled Map Systems2008

    • Author(s)
      小室元政
    • Organizer
      2008年日本数学会年会応用数学分科会スペシャルセッション【結合振動子系の数理】
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Related Report
      2009 Final Research Report
  • [Presentation] 結合力学系における進行波の発生機構―CMLにおける安定周期点のサドル・ノード分岐法則―2008

    • Author(s)
      小室元政
    • Organizer
      2007年度冬の力学系研究集会
    • Place of Presentation
      日本大学軽井沢研修所
    • Year and Date
      2008-01-05
    • Related Report
      2009 Final Research Report
  • [Presentation] Temporal metamorphosis as a dynamical mechanism of episodic memory2008

    • Author(s)
      Ichiro Tsuda
    • Organizer
      Invited talk, DDAP5
    • Place of Presentation
      Nara Public Hall
    • Related Report
      2009 Final Research Report
  • [Presentation] Temporal metamorphosis as a. dynamical mechanism of episodic memory2008

    • Author(s)
      Ichiro Tsuda
    • Organizer
      Invited talk, DDAP5
    • Place of Presentation
      Nara Public Hall
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Quasiperiodic traveling waves in coupled map lattices2008

    • Author(s)
      小室元政
    • Organizer
      2008年度RIMS 研究集会「双曲性を超えた位相力学系の新展開 New Development in the study of Dynamical Systems beyond Uniform-Hyperbolicity
    • Place of Presentation
      京大数理解析研究所
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Quasiperiodic traveling wave regions in coupled map lattices2008

    • Author(s)
      Motomasa Komuro
    • Organizer
      Dynamics Days Asia Pacific 5 (DDAP5) The 5^<th> International Conference on Nonlinear Science
    • Place of Presentation
      Nara-Japan, Nara Prefectural New Public Hall
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 結合写像系における進行波アトラクタとカオス的遍歴 Traveling Wave Attractor and Chaotic Itenerancy in Coupled Map Systems2008

    • Author(s)
      小室元政
    • Organizer
      2008 年日本数学会年会
    • Place of Presentation
      近畿大学
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 結合力学系における進行波の発生機構-CML における安定周期点のサドル・ノード分岐法則-2008

    • Author(s)
      小室元政
    • Organizer
      2007 年度冬の力学系研究集会
    • Place of Presentation
      日本大学軽井沢研修所
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Iterated Function Systems in Hippocampal CA1 Neurons2007

    • Author(s)
      S. Kuroda
    • Organizer
      The 1st International Conferenceon Cognitive Neurodynamics
    • Place of Presentation
      East China University of Science & Technology Convention Center, Shanghai, China
    • Year and Date
      2007-11-19
    • Related Report
      2007 Annual Research Report
  • [Presentation] Corticopetal Acetylcholine: A role in attentional state transitions and the genesis of quasi-attractors during perception2007

    • Author(s)
      H. Fujii
    • Organizer
      The 1st International Conferenceon Cognitive Neurodynamics
    • Place of Presentation
      East China University of Science & Technology Convention Center, Shanghai, China
    • Year and Date
      2007-11-19
    • Related Report
      2007 Annual Research Report
  • [Presentation] CMLにおける進行波アトラクタの発生機構 (1)―サドル・ノード分岐経路の場合―2007

    • Author(s)
      小室元政
    • Organizer
      京都結合系セミナー
    • Place of Presentation
      京都大学理学部数学教室
    • Year and Date
      2007-10-31
    • Related Report
      2009 Final Research Report
  • [Presentation] CMLにおける進行波アトラクタの発生機構(1)-サドル・ノード分岐経路の場合-2007

    • Author(s)
      小室元政
    • Organizer
      京都結合系セミナー
    • Place of Presentation
      京都大学理学部数学教室
    • Year and Date
      2007-10-31
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] A mathematical model for the hippocampus: towards the understanding of episodic memory and imagination2007

    • Author(s)
      I. Tsuda
    • Organizer
      Nishinomiya-Yukawa International & Interdisciplinary Symposium 2007 "What is Life? The Next 100 Years of Yukawa's Dream", Yukawa Institute for Theoretical Physics, Kyoto University(organized by M. Murase)
    • Place of Presentation
      CO-OP INN KYOTO
    • Year and Date
      2007-10-16
    • Related Report
      2007 Annual Research Report
  • [Presentation] エピソード記憶:海馬のカオスモデル2007

    • Author(s)
      津田一郎
    • Organizer
      日本応用数理学会
    • Place of Presentation
      北海道大学工学部
    • Year and Date
      2007-09-16
    • Related Report
      2007 Annual Research Report
  • [Presentation] 脳のダイナミックスの解明を目指して : カオス的遍歴とフラクタル2007

    • Author(s)
      津田一郎
    • Organizer
      計測自動制御学会、特別講演、ライフォート
    • Place of Presentation
      札幌
    • Year and Date
      2007-09-06
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 脳のダイナミックスの解明を目指して:カオス的遍歴とフラクタル2007

    • Author(s)
      津田一郎
    • Organizer
      計測自動制御学会
    • Place of Presentation
      ライフォート札幌
    • Year and Date
      2007-09-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] 海馬の数学モデルについて2007

    • Author(s)
      津田一郎
    • Organizer
      セミナー「意識と認知の複雑系的解釈」
    • Place of Presentation
      東京大学工学部
    • Year and Date
      2007-08-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] A mathematical model for the hippocampus.2007

    • Author(s)
      I. Tsuda
    • Organizer
      Seminar talk(organized by Peter Erdi)
    • Place of Presentation
      Institute for nuclear physics, Biophysics laboratory, Hungarian Academy of Sciences, Budapest
    • Year and Date
      2007-07-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] Chaotic itinerancy reality in brain dynamics2007

    • Author(s)
      I. Tsuda
    • Organizer
      6th International Congress on Industrial and Applied Mathematics
    • Place of Presentation
      University of Zurich
    • Year and Date
      2007-07-17
    • Related Report
      2007 Annual Research Report
  • [Presentation] 結合力学系の分岐と進行波の発生機構2007

    • Author(s)
      小室元政
    • Organizer
      力学系研究集会
    • Place of Presentation
      京都大学数理解研究所
    • Year and Date
      2007-06-13
    • Related Report
      2009 Final Research Report
  • [Presentation] 結合写像系の新しい分岐解析手法と進行波の発生機構2007

    • Author(s)
      小室元政
    • Organizer
      非線形振動子系の物理学
    • Place of Presentation
      京大基礎物理研
    • Year and Date
      2007-06-06
    • Related Report
      2009 Final Research Report
  • [Presentation] 結合力学系の分岐シート解析-CMLにおける進行波アトラクタの発生機構-2007

    • Author(s)
      小室元政
    • Organizer
      2006年度冬の力学系研究集会
    • Place of Presentation
      東京大学数理科学研究科大講義室
    • Year and Date
      2007-01-07
    • Related Report
      2009 Final Research Report
  • [Presentation] Chaotic dynamical systems viewpoint of the brain2007

    • Author(s)
      I. Tsuda
    • Organizer
      Invited : Kyushu University, Department of Engineering
    • Related Report
      2009 Final Research Report
  • [Presentation] Chaotic itinerancy reality in brain dynamics, Plenary talk2007

    • Author(s)
      I. Tsuda
    • Organizer
      6th International Congress on Industrial and Applied Mathematics
    • Place of Presentation
      University of Zurich
    • Related Report
      2009 Final Research Report
  • [Presentation] Chaotic dynamics reality in brain dynamics2007

    • Author(s)
      I. Tsuda
    • Organizer
      Invited talk in International Conference in honor of Y. Pesin and Y. Takahashi on their 60th birthdays, "Dynamics of Complex Systems" -mathematical modelling, method and prediction-
    • Place of Presentation
      Hokkaido University, Sapporo
    • Related Report
      2009 Final Research Report
  • [Presentation] Chaotic dynamics reality in brain dynamics2007

    • Author(s)
      I. Tsuda
    • Organizer
      Tutorial talk in Dynamic Brain Forum 07 (DBF'07)
    • Place of Presentation
      Hakuba, Japan
    • Related Report
      2009 Final Research Report
  • [Presentation] Chaotic dynamics reality in brain dynamics2007

    • Author(s)
      I. Tsuda
    • Organizer
      Tutorial talk in Dynamic Brain Forum 07(DBF'07)
    • Place of Presentation
      Hakuba, Japan
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Chaotic dynamics reality in brain dynamics2007

    • Author(s)
      I. Tsuda
    • Organizer
      Invited talk in International Conference in honor of Y. Pesin and Y. Takahashi on their 60^<th> birthdays, "Dynamics of Complex Systems" - mathematical modelling, method and Prediction
    • Place of Presentation
      Hokkaido University,Sapporo
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Chaotic itinerancy reality in brain dynamics, Plenary talk2007

    • Author(s)
      I. Tsuda
    • Organizer
      6^<th> International Congress on Industrial and Applied Mathematics
    • Place of Presentation
      University of Zurich
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Corticopetal Acetylcholine : A role in attentional state transitions and the genesis of quasi-attractors during perception2007

    • Author(s)
      H. Fujii, K. Aihara, and I. Tsuda
    • Organizer
      The 1^<st> International Conferenceon Cognitive Neurodynamics
    • Place of Presentation
      Shanghai
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 結合力学系の分岐と進行波の発生機構2007

    • Author(s)
      小室元政
    • Organizer
      力学系研究集会(京大数理解析研)
    • Place of Presentation
      京都大学数理解研究所
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] 結合写像系の新しい分岐解析-CML における進行波アトラクタの発生機構-2007

    • Author(s)
      小室元政
    • Organizer
      2006 年度冬の力学系研究集会
    • Place of Presentation
      東京大学数理科学研究科大講義室
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] A mathematical model for the hippocampus.2007

    • Author(s)
      I. Tsuda
    • Organizer
      Workshop on Dynamics, Informatics and Cognition, organized by Fullop Bazso
    • Place of Presentation
      Polytechnical Engineering College, Department of Informatics, Subatica, Serbia
    • Related Report
      2007 Annual Research Report
  • [Presentation] Chaotic itinerancy in gap junction-coupled class I* neurons2006

    • Author(s)
      S. Tadokoro, Y. Yamaguti, I. Tsuda, H. Fujii
    • Organizer
      Poster presentation in The 8th RIES-Hokudai International Symposium on [bi]
    • Related Report
      2009 Final Research Report
  • [Presentation] Nonlinear dynamics and creative logic of the brain2006

    • Author(s)
      I. Tsuda
    • Organizer
      Invited talk : Organized session on Towards a new paradigm of understanding in International Conference on Biophysics (EABS & BSJ 2006)
    • Place of Presentation
      Okinawa
    • Related Report
      2009 Final Research Report
  • [Presentation] Episodic memory : A mathematical model for the hippocampus2006

    • Author(s)
      I. Tsuda, Y. Yamaguti and S. Kuroda
    • Organizer
      Invited talk : Intenational Sympojium on Shynchronization Phenomena and Analysis,organized by K. Aihara
    • Place of Presentation
      ERATO Aihara Project
    • Related Report
      2008 Self-evaluation Report
  • [Presentation] Chaotic itinerancy in gap junction-coupled class I* neurons2006

    • Author(s)
      S. Tadokoro, Y. Yamaguti, I. Tsuda and H. Fujii
    • Organizer
      Poster presentation in The 8^<th> RIES-Hokudai International Symposium on [bi]
    • Place of Presentation
      Hokkaido Univ. Conference Hall
    • Related Report
      2008 Self-evaluation Report
  • [Book] カオスー力学系入門2007

    • Author(s)
      津田一郎, (監訳) 星野高志, 松本和宏, 黒田拓, 阿部巨仁 (訳)
    • Publisher
      シュプリンガー
    • Related Report
      2009 Final Research Report
  • [Book] カオス-力学系入門(津田一郎, 星野高志, 松本和宏, 黒田拓, 阿部巨仁)2007

    • Author(s)
      アリグッド、サウア、ヨーク
    • Publisher
      シュプリンガ東京
    • Related Report
      2008 Self-evaluation Report
  • [Book] カオス-力学系入門 第3巻 (アリグッド、サウアー、ヨーク著)2007

    • Author(s)
      津田一郎(監訳)
    • Total Pages
      209
    • Publisher
      シュプリンガー東京
    • Related Report
      2007 Annual Research Report
  • [Book] カオスー力学系入門2006

    • Author(s)
      津田一郎 (監訳), 星野高志, 松本和宏, 黒田拓, 阿部巨仁 (訳)
    • Publisher
      シュプリンガー
    • Related Report
      2009 Final Research Report
  • [Book] 水滴系のカオス2006

    • Author(s)
      佐藤譲, 津田一郎 (訳)
    • Publisher
      岩波書店
    • Related Report
      2009 Final Research Report
  • [Book] カオス-力学系入門(津田一郎, 星野高志, 松本和宏, 黒田拓, 阿部巨仁)2006

    • Author(s)
      アリグッド、サウア、ヨーク
    • Publisher
      シュプリンガ東京
    • Related Report
      2008 Self-evaluation Report
  • [Book] 水滴系のカオス(佐藤譲, 津田一郎)2006

    • Author(s)
      ロブ・ショー
    • Publisher
      岩波書店
    • Related Report
      2008 Self-evaluation Report
  • [Book] 水滴系のカオス(ロブ・ショー著)2006

    • Author(s)
      佐藤譲(訳)
    • Total Pages
      102
    • Publisher
      岩波書店
    • Related Report
      2006 Annual Research Report
  • [Book] カオス-力学系入門 第1巻(アリグッド、サウアー、ヨーク著)2006

    • Author(s)
      津田一郎(監訳)
    • Total Pages
      227
    • Publisher
      シュプリンガー東京
    • Related Report
      2006 Annual Research Report
  • [Book] カオス-力学系入門 第2巻(アリグッド、サウアー、ヨーク著)2006

    • Author(s)
      津田一郎(監訳)
    • Total Pages
      227
    • Publisher
      シュプリンガー東京
    • Related Report
      2006 Annual Research Report
  • [Remarks]

    • URL

      http://www.math.sci.hokudai.ac.jp/~tsuda/index_j.htm

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.math.sci.hokudai.ac.jp/~tsuda/index_j.htm

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.math.sci.hokudai.ac.jp/~tsuda/

    • Related Report
      2008 Self-evaluation Report
  • [Remarks]

    • URL

      http://www.math.sci.hokudai.ac.jp/~tsuda

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2006-04-01   Modified: 2016-04-21  

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