The study on the scenarios for chaotic itinerancy

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18340021
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Hokkaido University
• Principal Investigator: TSUDA Ichiro Hokkaido University, 電子科学研究所, 教授 (10207384)
• Project Period (FY): 2006 – 2009
• Keywords: カオス力学系 / 非線形科学 / 複雑系科学 / 科学技術数学

Research Abstract

カオス的遍歴が出現する機構に関して可能なシナリオを研究する。典型的なカオス的遍歴現象を生成する具体的なモデルとして、結合写像、結合微分方程式などを扱う。カオス的遍歴の生成機構を数学的に分類する。可能なら、カオス的遍歴の雛形モデルを構築する。

Research Products

• [Journal Article] Hypotheses on the functional roles of chaotic transitory dynamics (2009)
  • Author(s): I. Tsuda
  • Journal Title: CHAOS 19 Pages: 015113-1-015113-10
  • Peer Reviewed
• [Journal Article] Reward prediction based on stimulus categorization in primate lateral prefrontal cortex (2008)
  • Author(s): X. Pan, K. Sawa, I. Tsuda, M. Tsukada and M. Sakagami
  • Journal Title: Nature Neuroscience 11(published online) Pages: doi:10.1038/nn.2128, 703-712
  • Peer Reviewed
• [Journal Article] Application of chaos theory to engine systems (2008)
  • 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)
  • Peer Reviewed
• [Journal Article] A Mathematical Model for the Hippocampus : Towards the Understanding of Episodic Memory and Imagination (2008)
  • Author(s): I. Tsuda, Y. Yamaguti, S.Kuroda, Y.Fukushima and M.Tsukada
  • Journal Title: Prog. Theor. Phys. Suppl. 173 Pages: 99-108
  • 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
• [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
• [Journal Article] Chaos Reality in the Brain (2007)
  • Author(s): I.Tsuda and H. Fujii
  • Journal Title: J. of Integrative Neuroscience 6 Pages: 309-326
  • Peer Reviewed
• [Journal Article] Spatial clustering property and its self-similarity in membrane potentials of hippocampal CAl pyramidal neurons for a spatio-temporal input sequence (2007)
  • Author(s): Y. Fukushima, M. Tsukada, I. Tsuda, Y. Yamaguti and S.Kuroda
  • Journal Title: Cogn. Neurodyn 1 Pages: 305-316
  • Peer Reviewed
• [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
  • Peer Reviewed
• [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
• [Presentation] Temporal metamorphosis as a. dynamical mechanism of episodic memory (2008)
  • Author(s): Ichiro Tsuda
  • Organizer: Invited talk, DDAP5
  • Place of Presentation: Nara Public Hall
  • Year and Date: 20081109-12
• [Presentation] Quasiperiodic traveling waves in coupled map lattices (2008)
  • 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: 20080929-1003
• [Presentation] Quasiperiodic traveling wave regions in coupled map lattices (2008)
  • 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
  • Year and Date: 20080909-12
• [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 Systems (2008)
  • Author(s): 小室元政
  • Organizer: 2008 年日本数学会年会
  • Place of Presentation: 近畿大学
  • Year and Date: 20080323-26
• [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: 20080105-08
• [Presentation] Corticopetal Acetylcholine : A role in attentional state transitions and the genesis of quasi-attractors during perception (2007)
  • Author(s): H. Fujii, K. Aihara, and I. Tsuda
  • Organizer: The 1^<st> International Conferenceon Cognitive Neurodynamics
  • Place of Presentation: Shanghai
  • Year and Date: 20071117-21
• [Presentation] Chaotic itinerancy reality in brain dynamics, Plenary talk (2007)
  • Author(s): I. Tsuda
  • Organizer: 6^<th> International Congress on Industrial and Applied Mathematics
  • Place of Presentation: University of Zurich
  • Year and Date: 20070616-20
• [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
  • Year and Date: 20070611-15
• [Presentation] Chaotic dynamics reality in brain dynamics (2007)
  • 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
  • Year and Date: 20070319-20
• [Presentation] Chaotic dynamics reality in brain dynamics (2007)
  • Author(s): I. Tsuda
  • Organizer: Tutorial talk in Dynamic Brain Forum 07(DBF'07)
  • Place of Presentation: Hakuba, Japan
  • Year and Date: 20070305-09
• [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
  • Year and Date: 20070106-09
• [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
• [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
• [Presentation] Chaotic itinerancy in gap junction-coupled class I* neurons (2006)
  • 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
  • Year and Date: 20061211-12
• [Presentation] Episodic memory : A mathematical model for the hippocampus (2006)
  • 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
  • Year and Date: 20061003-06
• [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
  • Total Pages: 1-209
  • Publisher: シュプリンガ東京
• [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
  • Total Pages: 1-227
  • Publisher: シュプリンガ東京
• [Book] 水滴系のカオス(佐藤譲, 津田一郎) (2006)
  • Author(s): ロブ・ショー
  • Total Pages: 1-102
  • Publisher: 岩波書店
• [Remarks]
  • URL: http://www.math.sci.hokudai.ac.jp/~tsuda/