ITO Hidekazu 伊藤秀一

Researcher Number	90159905
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2020 – 2022: 神奈川大学, 工学部, 教授 2019: 首都大学東京, 理学研究科, 客員研究員 2008 – 2018: Kanazawa University, 数物科学系, 教授 2006 – 2007: 金沢大学, 自然科学研究科, 教授 1998 – 2000: Associate Professor at Tokyo Institute of Technology Guraduate School of Science and Engineering, 大学院・理工学研究科, 助教授 1994 – 1997: 東京工業大学, 理学部, 助教授 1989 – 1992: 東北大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Global analysis / Global analysis Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Foundations of mathematics/Applied mathematics / Global analysis / Geometry / Mathematical analysis
Keywords	Principal Investigator 可積分系 / バーコフ標準形 / ハミルトン力学系 / 標準形理論 / 超可積分系 / ハミルトン系 / シンプレクティック写像 / ゼータ関数 / 変分法 / 標準形 … More / シンプレクティック幾何学 / complex dynamical system / symplectic geometry / variational method / integrable system / 複素力学系 / 超可積分性 / 剛性 / 摂動問題 / 力学系 / 解析学 / 非可換 / バーコフ標準化 / 写像の標準形 / Conley index / zeta function / Hamiltonian system / 接触幾何学 / コンレイ指数 / 力学系ゼータ関数 / コシレイ指数 / zeta funetion / hamiltonian system / 大域幾何学 / エルゴード埋論 / シンプレティック幾何学 / 可積分ベクトル場 / 共鳴 / 作用-角変数 / 特異点 / ベクトル場 / 共鳴条件 / 保存力学系 / 自由境界問題 / 放物型方程式 / エントロピー / 1次元力学系 / 可積分シンプレクティック写像 / マルコフ写像 / フックス群 / シュレディンガー方程式 / スーパー解析学 / WKB法 / ループ空間 / ケーラー多様体 / Yang-Baxter方程式 / 半線型楕円型偏微分方程式 / 函数微分方程式 / 古典力学 / 正則性定理 / ディリクレ境界値問題 / 双曲型空間 / 調和写像 / 可積分ハミルトン系 / 積分可能系 / Symplectic幾何学 / Hamilton系 … More Except Principal Investigator 力学系 / 分岐 / ハミルトン系 / 偏微分方程式系 / カオス / 偏微分方程式 / 関数微分方程式 / 反転可能系 / 非可積分性 / パルス解 / 熱力学形式 / エルゴード理論 / 写像類群 / 閉測地線 / スーパー空間 / スピン / シュレディンガ-作用素 / 常微分方程式 / 力学系理論 / ソリトン解 / 確率的な摂動を受ける系 / 標準形 / ホモクリニック軌道 / 中心多様体 / ネットワーク / 可換ベクトル場 / 第一積分 / 反転対称系 / 保存系 / 最適制御 / 逆散乱法 / 時間遅れ系 / 結合振動子系 / ソリトン / 可積分性 / Painleve equation / spin / Grassmann variables / disordered system / matrix integral / Random Matrix Theory / Feynman's problem / Superanalysis / Weyl方程式 / Dirac方程式 / 量子化 / ワイル方程式 / 超対称性 / 非可換代数 / パンルべ方程式 / 血秩序系 / パンルベ方程式 / グラスマン変数 / 無秩序系 / 行列積分 / ランダム行列理論 / ファインマン問題 / スーパー解析 / thermodynamic formalism / ergodic theory / mapping class group / geodesic flow / 測地流 / Seiberg-witten equation / Gauge theory / Value distributions / Integrable systems / isparametric hypersurfaces / minimal surfaces / comstant mean curvature surfaces / harmonic maps / submanifolds / moduli / Gaurs map / CMC-surfaces / harmonie maps / サイバーグ・ウィッテン方程式 / 等径超曲面 / サイバーグ・ヴィッテン方程式 / ゲージ理論 / 値分布 / 可積分系 / 等経超曲面 / 極小曲面 / 平均曲率一定曲面 / 調和写像 / Bergman kernel / harmonic function / functional differential equation / integrable hamiltonian system / Dirac operator / Schrodinger operator / トレリの問題 / ケ-ラ-多様体 / ハ-ディ空間 / バ-コフ標準型 / ハミルトンベクトル場 / 半線型楕円型方程式 / ヤン・ミルズ汎函数 / 周期的シュレ-ディンガ-方程式 / バ-グマン核 / 調和関数 / ハミルトン力学系 / シュレディンガ-方程式 / バ-クマン核 / 〓〓調和関数 / ハミルトン正準方程式 / ディラック作用素 / 微分方程式 / 区分的に滑らかな系 / 周期摂動系 / 不規則摂動系 / 圧縮性流体シミュレーション / バーガーズ方程式 / 確率差分方程式 / ロトカーボルテラ方程式 / キャビティ流れ / 非圧縮性流体 / ランダム項 / 衝撃波 / 圧縮性流体 / 分岐過程 / 確率モデル / 数値実験 / ナヴィエーストークス方程式 / オイラー方程式 / 誤差移入 / ランダムネス / ヘテロクリニック挙動 / ホモ / 周期軌道 / 数値解析 / 微分ガロア理論 / 摂動法 / ホモ/ヘテロクリニック挙動 / 無限次元系 / 複素力学系 / 自己相似性 / マンデルブロート集合 / タイビミュラー空間 / 構造安定性 / タイヒミュラー空間 / フラクタル / ジュリア集合 / 分岐現象 / くりこみ / 位相計算理論 / 大自由度系 / 大域的 / Conley指数 / 計算機支援証明 / 特異摂動 / 特異性 / 大域的分岐 / 計算機援用証明 / 位相計算 / 位相的方法 / ホモロジー / 精度保証付き計算 / グラフ・アルゴリズム / 位相計算法 / 計算機援用 / 大域的構造 / 大域 / 大自由度 / 離散群 / 正値性 / 大域解析学 / 解の特異性の伝播 / コ-シ-問題 / ノイマン問題 / 非線型楕円型偏微分方程式 / 時異摂動 / 解析的ハミルトン系 / 半線形楕円型偏微分方程式 / ソボレフの埋蔵定理 / マルチンコンパクト化 / ポテンシャル論 / ノイマン環 / C^*ー環 / 作用素環 / グリ-ン関数 / カチョポリの不等式 / 最小エネルギ-解 / 完全積分可能性 / 終局有界性 / マルチン境界 / 狭義擬凸領域 / 固有値 / マルチプライヤ- / フ-リエ解析 / フ-リェ解析 / 漸近安定性 / 超幾何型微分方程式系 / 変分法 Less

New Developments of Dynamical Systems Theory for Diverse Mathematical Models
- Principal Investigator
  
  Yagasaki Kazuyuki
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kyoto University
Analysis of rigidity and global structure for integrable systems by using normal form theoryPrincipal Investigator
- Principal Investigator
  
  ITO Hidekazu
- Project Period (FY)
  2016 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanagawa University
  Tokyo Metropolitan University
  Kanazawa University
Perturbation problems for degenerate integrable systems and mathematics for resonance phenomenaPrincipal Investigator
- Principal Investigator
  
  Ito HIdekazu
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Investigation of Diverse Bifurcation Structures in Differential Dynamical Systems
- Principal Investigator
  
  Yagasaki Kazuyuki
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Kyoto University
  Hiroshima University
Analysis of Dynamical Structure by Considering the Randomness of Insertion of Errors and Development for Numerical Analysis on Conservative System
- Principal Investigator
  
  HATAUE Itaru
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanazawa University
Normal forms for superintegrable systems at singular points and their perturbation problemsPrincipal Investigator
- Principal Investigator
  
  ITO Hidekazu
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Bifurcations and Homo- and Heteroclinic Behavior in Infinite- Dimensional Dynamical Systems
- Principal Investigator
  
  YAGASAKI Kazuyuki
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
  Niigata University
Complex analytic study of real and complex dynamical systems
- Principal Investigator
  
  SHISHIKURA Mitsuhiro
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
可積分保存系における剛性の研究Principal Investigator
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Kanazawa University
Study of Global Bifurcations of Dynamical Systems for Understandings of Chaos and Systems with Large Degrees of Freedom
- Principal Investigator
  
  KOKUBU Hiroshi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
Analysis of dynamical systems and related topics in geometryPrincipal Investigator
- Principal Investigator
  
  ITO Hidekazu
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Institute of Technology
Ergodic theoretical approach to classical dynamical systems appearing in probability theory and complex analysis
- Principal Investigator
  
  MORITA Takehiko
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
System of partial differential equations and non-commutative analysis
- Principal Investigator
  
  INOUE Atsushi
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Institute of Technology
Various problems in Hamiltonian dynamical systems and related topics in geometry and analysisPrincipal Investigator
- Principal Investigator
  
  ITO Hidekazu
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOKYO INSTITUTE OF TECHNOLOGY
Geometry related to harmonic maps
- Principal Investigator
  
  MIYOOKA Reiko
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  TOKYO INSTITUTE OF TECHNOLOGY
力学系の解析と関連する幾何学Principal Investigator
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
古典力学系および群作用のエルゴード理論的研究
- Principal Investigator
  
  盛田健彦
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
大域解析学の総合的研究
- Principal Investigator
  
  井上淳
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
可積分ハミルトン系の特異点と摂動問題Principal Investigator
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
大域幾何学にあらわれる可積分ハミルトン系の研究Principal Investigator
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tohoku University
古典力学における数学的諸問題Principal Investigator
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の解の漸近的挙動
- Principal Investigator
  
  加藤順二
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学
- Principal Investigator
  
  斎藤和之
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式と摂動問題
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Tohoku University
調和解析と函数空間の研究
- Principal Investigator
  
  猪狩惺
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Hamilton力学系の総合的研究Principal Investigator
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
微分方程式の解の構造と漸近挙動
- Principal Investigator
  
  KATO Junji
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Problems in Global Analysis
- Principal Investigator
  
  KOTAKE Takeshi
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tohoku University

[Journal Article] Birkhoff normalization for a family of superintegrable symplectic maps and its application2023
- Author(s)
  Hidekazu Ito
- Journal Title
  
  数理解析研究所講究録
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-16K05173
[Journal Article] Chebyshev spectral methods for computing center manifolds2021
- Author(s)
  Saito Takeshi、Yagasaki Kazuyuki
- Journal Title
  
  Journal of Computational Dynamics
  
  Volume: 8 Issue: 2 Pages: 165-165
- DOI
  10.3934/jcd.2021008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17H02859
[Journal Article] Some remarks on integrability and normal forms for vector fields2016
- Author(s)
  Hidekazu Ito
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B57 Pages: 249-264
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-25400168
[Journal Article] Some remarks on integrability and normal forms for vector fields2016
- Author(s)
  Hikdekazu ITO
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B57 Pages: 249-264
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400108
[Journal Article] DNA 2 本鎖切断生成の確率モデル2013
- Author(s)
  税所康正, 伊藤敦
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1853 Pages: 202-209
- URL
  http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/kokyuroku.html
- Data Source
  KAKENHI-PROJECT-23540129
[Journal Article] Mathematical Models of the Generation of Radiation-Induced DNA Double-Strand Breaks2013
- Author(s)
  Saisho, Y. and Ito, A
- Journal Title
  
  J. Math. Biol
  
  Volume: 67-3 Issue: 3 Pages: 717-736
- DOI
  10.1007/s00285-012-0567-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540129, KAKENHI-PROJECT-24540128
[Journal Article] Mathematical models of the generation of radiation-induced DNA double-strand breaks2013
- Author(s)
  Y. Saisho and A. Ito
- Journal Title
  
  Journal of Mathematical Biology
  
  Volume: Vol.67, No.3 Pages: 717-736
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540129
[Journal Article] DNA 2本鎖切断生成の確率モデル2013
- Author(s)
  税所康正,伊藤敦
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1853 Pages: 202-209
- Data Source
  KAKENHI-PROJECT-23540129
[Journal Article] Birkhoff normalization and superintegrability of Hamiltonian systems2009
- Author(s)
  Hidekazu Ito
- Journal Title
  
  Ergodic Theory and Dynamical Systems (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18654033
[Journal Article] Birkhoff normal forms for superintegrable systems2008
- Author(s)
  Hidekazu Ito
- Journal Title
  
  RIMS Kokyuroku Bessatsu B10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18654033
[Presentation] シンプレクティック写像族のバーコフ標準化とハミルトン系の超可積分性2023
- Author(s)
  伊藤秀一
- Organizer
  日本数学会年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] シンプレクティック写像族のバーコフ標準化とハミルトン系の超可積分性2023
- Author(s)
  伊藤秀一
- Organizer
  日本数学会2022年度年会
- Data Source
  KAKENHI-PROJECT-17H02859
[Presentation] 共鳴不動点近傍におけるシンプレクティック写像族の超可積分性とバーコフ標準化2022
- Author(s)
  伊藤秀一
- Organizer
  2021年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Birkhoff normalization for a family of superintegrable symplectic maps and its application2022
- Author(s)
  伊藤秀一
- Organizer
  RIMS 共同研究（公開型）「幾何構造と微分方程式 -対称性・特異点及び量子化の視点から-」
- Invited
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] 共鳴不動点近傍におけるシンプレクティック写像族の超可積分性とバーコフ標準化2022
- Author(s)
  伊藤秀一
- Organizer
  2021年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-17H02859
[Presentation] Birkhoff normalization for a family of superintegrable symplectic maps and its application2022
- Author(s)
  伊藤秀一
- Organizer
  RIMS共同研究（公開型）「幾何構造と微分方程式ー対称性・特異点及び量子化の視点からー」
- Invited
- Data Source
  KAKENHI-PROJECT-17H02859
[Presentation] 可積分系の剛性とバーコフ標準形をめぐって2019
- Author(s)
  伊藤秀一
- Organizer
  第7回「ハミルトン系とその周辺」研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17H02859
[Presentation] Action-angle coordinates near singularities for noncommutatively integrable Hamiltonian systems2019
- Author(s)
  Hidekazu Ito
- Organizer
  Conference on PDEs, Dynamical Systems and Probability
- Invited
- Data Source
  KAKENHI-PROJECT-17H02859
[Presentation] Action-angle coordinates near singularities for noncommutatively integrable Hamiltonian systems2019
- Author(s)
  Hidekazu Ito
- Organizer
  Conference on PDEs, Dynamical Systems and Probability
- Invited
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] 可積分系の剛性とバーコフ標準形をめぐって2019
- Author(s)
  伊藤秀一
- Organizer
  第7回「ハミルトン系とその周辺」研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Normal form theory from the viewpoint of integrability near elliptic equilibria2017
- Author(s)
  HIdekazu ITO
- Organizer
  第６回「ハミルトン系とその周辺」研究集会
- Place of Presentation
  京都大学情報学研究科
- Year and Date
  2017-03-10
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Birkhoff normalization of non-commutatively integrable symplectic maps and its applications2017
- Author(s)
  Hidekazu Ito
- Organizer
  "Analysis and Dynamics" Conference in occasion of Luigi Chierchia's 60th birthday
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Normal form theory from the viewpoint of integrability near elliptic equilibria2017
- Author(s)
  Hidekazu Ito
- Organizer
  第６回「ハミルトン系とその周辺」研究集会
- Place of Presentation
  京都大学（京都府・京都市）
- Year and Date
  2017-03-10
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Birkhoff normalization of non-commutatively integrable symplectic maps and its applications2017
- Author(s)
  Hidekazu Ito
- Organizer
  "Analysis and Dynamics" Conference in occasion of Luigi Chierchia's 60th birthday
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02859
[Presentation] ベクトル場と写像に対する可積分性と標準形理論2017
- Author(s)
  伊藤秀一
- Organizer
  「微分方程式と幾何学」研究集会
- Data Source
  KAKENHI-PROJECT-17H02859
[Presentation] ベクトル場と写像に対する可積分性と標準形理論2017
- Author(s)
  伊藤秀一
- Organizer
  「微分方程式と幾何学」研究集会，立命館大学理工学部
- Invited
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Poincare center problem and normal form theory of vector fields2016
- Author(s)
  Hidekazu Ito
- Organizer
  97th Encounter between Mathematicians and Theoretical Physicists "Around Poincare"
- Place of Presentation
  Strasbourg (France)
- Year and Date
  2016-06-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Poincare center problem and normal form theory of vector fields2016
- Author(s)
  Hidekazu ITO
- Organizer
  97th Encounter between Mathematicians and Theoretical Physicists "Around Poincare"
- Place of Presentation
  IRMA, Strasboug
- Year and Date
  2016-06-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] Integrable and superintegrable vector fields and their normal forms at equilibria2015
- Author(s)
  Hidekazu Ito
- Organizer
  Dynamics, Topology and Computations
- Place of Presentation
  Bedlewo (Poland)
- Year and Date
  2015-06-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Resonance phenomena and normal form theory in dynamical systems2015
- Author(s)
  伊藤秀一
- Organizer
  第１０回「代数解析幾何セミナー」研究集会
- Place of Presentation
  鹿児島大学理学部
- Year and Date
  2015-02-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] Integrable and superintegrable vector fields and their normal forms at equilibria2015
- Author(s)
  Hidekazu ITO
- Organizer
  International conference on Dynamics, Topology and Computations
- Place of Presentation
  Banach Center, Bedlewo, Poland
- Year and Date
  2015-06-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] Some aspects of integrability of vector fields and normal form theory2014
- Author(s)
  伊藤秀一
- Organizer
  RIMS 研究集会 "Several aspects of microlocal analysis"
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-10-24
- Invited
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] Some open questions in Hamiltonian dynamical systems2014
- Author(s)
  伊藤秀一
- Organizer
  第５回「ハミルトン系とその周辺」研究集会
- Place of Presentation
  金沢大学サテライトプラザ
- Year and Date
  2014-05-31
- Invited
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] 放射線によるDNA切断生成の数理モデル2013
- Author(s)
  税所康正, 伊藤敦
- Organizer
  第23回日本数理生物学会大会・企画シンポジウム「放射線によるDNA 損傷問題の周辺- 数理モデルの可能性と役割」
- Place of Presentation
  静岡大学(静岡県) (企画シンポジウム講演)
- Year and Date
  2013-09-11
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] Superintegrability of vector fields and their normal forms near equilibrium points2013
- Author(s)
  伊藤秀一
- Organizer
  日本数学会2013年度年会,函数方程式論分科会
- Place of Presentation
  京都大学
- Year and Date
  2013-03-20
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] 放射線による DNA2 本鎖切断生成の LET 依存性を表す数理モデル2013
- Author(s)
  税所康正,伊藤敦
- Organizer
  日本放射線影響学会第56回大会
- Place of Presentation
  ホテルクラウンパレス青森
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] Birkhoff normalization of commuting maps associated with superintegrable systems2013
- Author(s)
  Hidekazu Ito
- Organizer
  KAM Theory and Related Topics in Hamiltonian Systems
- Place of Presentation
  金沢大学サテライト・プラザ
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Superintegrability of vector fields and their normal forms near equilibrium points2013
- Author(s)
  伊藤秀一
- Organizer
  日本数学会2013年度年会, 函数方程式論分科会
- Place of Presentation
  京都大学(京都府)
- Year and Date
  2013-03-20
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] Birkhoff normalization of commuting maps associated with superintegrable systems2013
- Author(s)
  伊藤秀一
- Organizer
  「KAM 理論とその周辺」研究集会
- Place of Presentation
  金沢大学サテライトプラザ(石川県)
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] Superintegrability of vector fields and their normal forms near equilibrium points2013
- Author(s)
  伊藤秀一
- Organizer
  日本数学会2013年度年会（函数方程式分科会）
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] Birkhoff normalization of commuting maps associated with superintegrable systems2013
- Author(s)
  伊藤秀一
- Organizer
  「KAM 理論とその周辺」研究集会
- Place of Presentation
  金沢大学サテライトプラザ
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] 放射線によるDNA2本鎖切断生成のLET 依存性を表す数理モデル2013
- Author(s)
  税所康正, 伊藤敦
- Organizer
  日本放射線影響学会第56回大会
- Place of Presentation
  ホテルクラウンパレス青森(青森県)
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] 超可積分ハミルトン系の特異点と作用－角変数2012
- Author(s)
  伊藤秀一
- Organizer
  2012年度日本数学会年会
- Place of Presentation
  東京理科大学（東京都）
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] 超可積分ハミルトン系の特異点と作用ー角変数2012
- Author(s)
  伊藤秀一
- Organizer
  日本数学会2012年度年会, 幾何学分科会
- Place of Presentation
  東京理科大学(東京都)
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] 超可積分ハミルトン系の特異点と作用ー角変数2012
- Author(s)
  伊藤秀一
- Organizer
  2012年度日本数学会年会,幾何学分科会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] 放射線による DNA 2本鎖切断生成の確率モデルについて2012
- Author(s)
  税所康正,伊藤敦
- Organizer
  バイオメディカル・ファジィ・システム学会第 25 回年次大会
- Place of Presentation
  東京都市大学
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] DNA 2本鎖切断生成の確率モデル2012
- Author(s)
  税所康正,伊藤敦
- Organizer
  2012 年度京都大学数理解析研究所共同利用研究集会:第9 回「生物数学の理論とその応用」
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] 超可積分ハミルトン系の特異点と作用-角変数2012
- Author(s)
  伊藤秀一
- Organizer
  2012年度日本数学会年会
- Place of Presentation
  東京理科大学(東京都)
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] 低 LET 放射線による DNA 2本鎖切断生成過程の確率モデル2012
- Author(s)
  伊藤敦,税所康正
- Organizer
  日本放射線影響学会第55回大会
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] DNA2本鎖切断生成の確率モデル2012
- Author(s)
  税所康正, 伊藤敦
- Organizer
  2012年度京都大学数理解析研究所共同利用研究集会 : 第9回「生物数学の理論とその応用」
- Place of Presentation
  京都大学数理解析研究所(京都府)
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] 放射線によるDNA 2本鎖切断生成の確率モデルについて2012
- Author(s)
  税所康正, 伊藤敦
- Organizer
  バイオメディカル・ファジィ・システム学会第25回年次大会
- Place of Presentation
  東京都市大学(東京都)
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] 低 LET 放射線によるDNA2 本鎖切断生成過程の確率モデル2012
- Author(s)
  伊藤敦, 税所康正
- Organizer
  日本放射線影響学会第55回大会
- Place of Presentation
  東北大学(宮城県)
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] Birkhoff normalization of symplectic maps and generalized action-angle coordinates for superintegrable systems2011
- Author(s)
  Ito, Hidekazu
- Organizer
  Workshop on "Dynamical Systems and Classical Mechanics"
- Place of Presentation
  Internationa Center for Mathemtical Sciences, Edinburgh, UK
- Year and Date
  2011-10-05
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] Birkhoff normalization of symplectic maps and generalized action-angle coordinates for superintegrable systems2011
- Author(s)
  H. Ito
- Organizer
  Workshop on Dynamical Systems and Classical Mechanics
- Place of Presentation
  Internationa Center for Mathemtical Sciences, UK
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] Birkhoff normalization of symplectic maps and generalized action angle coordinates for super integrable systems2011
- Author(s)
  H. Ito
- Organizer
  Workshop on"Dynamical Systems and Classical Mechanics"
- Place of Presentation
  International Center for Mathematical Sciences,Edinburgh,UK
- Year and Date
  2011-10-05
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] Birkhoff normalization of symplectic maps and generalized action-angle coordinates for superintegrable systems2011
- Author(s)
  Ito, H
- Organizer
  "Dynamical Systems and Classical Mechanics" conference at ICMS (International Center for Mathematical Sciences)
- Place of Presentation
  Edinburgh (Scotland)
- Data Source
  KAKENHI-PROJECT-23540129
[Presentation] Non-commutatively integrable vector fields and their normal forms at singular points2010
- Author(s)
  H. Ito
- Organizer
  Recent Developments in Resurgence Theory and Related Topics
- Place of Presentation
  Kansai Seminar House
- Data Source
  KAKENHI-PROJECT-21540124
[Presentation] Normal forms of non commutatively integrable vector fields near singular points2010
- Author(s)
  伊藤秀一
- Organizer
  第4回「ハミルトン力学系とその周辺」小研究会
- Place of Presentation
  新潟大学サテライトキャンパス・トキメイト
- Year and Date
  2010-10-15
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] Normal forms of non-commutatively integrable vector fields near singular points2010
- Author(s)
  伊藤秀一
- Organizer
  第4回「ハミルトン力学系とその周辺」小研究会
- Place of Presentation
  新潟大学サテライトキャンパス・トキメイト(新潟県)
- Year and Date
  2010-10-15
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] Non-commutatively integrable vector fields and their normal forms at singular points2010
- Author(s)
  伊藤秀一
- Organizer
  Recent Developments in Resurgence Theory and Related Topics
- Place of Presentation
  関西セミナーハウス(京都府)(招待講演)
- Year and Date
  2010-06-28
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] Non commutatively integrable vector fields and their normal forms at singular points2010
- Author(s)
  伊藤秀一
- Organizer
  Recent Developments in Resurgence Theory and Related Topics
- Place of Presentation
  関西セミナーハウス
- Year and Date
  2010-06-28
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] シンプレテクティック写像のバーコフ標準化と超可積分性2009
- Author(s)
  伊藤秀一
- Organizer
  日本数学会2009年度春の学会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-18654033
[Presentation] 共鳴平衡点におけるバーコフ標準化と超可積分性2007
- Author(s)
  伊藤秀一
- Organizer
  日本数学会2007年秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-21
- Data Source
  KAKENHI-PROJECT-18654033
[Presentation] Birkhoff normalization of commuting maps associated with superintegrable systems
- Author(s)
  伊藤秀一
- Organizer
  「KAM理論とその周辺」研究集会
- Place of Presentation
  金沢大学サテライトプラザ
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] Superintegrability of vector fields and their normal forms near equilibrium points
- Author(s)
  伊藤　秀一
- Organizer
  日本数学会2013年度年会，函数方程式論分科会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-22540180

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ITO Hidekazu 伊藤 秀一

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Analysis of rigidity and global structure for integrable systems by using normal form theoryPrincipal Investigator

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Perturbation problems for degenerate integrable systems and mathematics for resonance phenomenaPrincipal Investigator

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Normal forms for superintegrable systems at singular points and their perturbation problemsPrincipal Investigator

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可積分保存系における剛性の研究Principal Investigator

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Analysis of dynamical systems and related topics in geometryPrincipal Investigator

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Various problems in Hamiltonian dynamical systems and related topics in geometry and analysisPrincipal Investigator

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ITO Hidekazu 伊藤秀一