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MATSUOKA Takashi  松岡 隆

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松岡 隆

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Researcher Number 50127297
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2012: 鳴門教育大学, 大学院・学校教育研究科, 教授
2001 – 2007: Naruto University of Education, College of Education, Professor, 学校教育学部, 教授
1990 – 1999: 鳴門教育大学, 学校教育学部, 助教授
1998: 鳴門大学, 学校教育学部, 助教授
1987: 鳴門教育大学, 学校教育学部, 助教授
Review Section/Research Field
Principal Investigator
Geometry / Geometry / 代数学・幾何学
Except Principal Investigator
Global analysis / 解析学 / Global analysis / Geometry / 代数学・幾何学 / Science education / Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
braid / 組みひも / 組ひも / 周期点 / unstable fixed point / 絡み数 / 不動点 / 不安定不動点 / 不動点指数 / 擬アノソフ写像 … More / 2次元力学系 / linking number / parametrized fixed point theory / branch / family of continuous maps / bifurcation of fixed points / 位相的指数 / 分岐 / 助変数付き不動点理論 / 分枝 / 連続写像族 / 不動点の分岐 / topological entropy / surface homeomorphism / torus map / Fixed point index / トーラス / 曲面 / 位相エントロピー / 曲面同相写像 / トーラス写像 / pseudo-Anosov map / fixed point index / 2-dimensional embedding / periodic point / 位相的エントロピー / 埋め込み写像 / 2次元埋め込み写像 / 等質空間 / 安定ホモトピー群 / 同境類 / 枠付け可能多様体 … More
Except Principal Investigator
concentration-compactness / 分岐理論 / 準線形楕円型方程式 / quasilinear elliptic equation / 正値解 / カオス / Orlicz-Sobolev空間 / 力学系 / Orlicz-Sobolev space / 変分不等式 / 変分方程式 / mountain-pass solution / chaos / dynamical system / 特異摂動 / 位相的方法 / 大域的構造 / multiple positive solution / Conley index / 周期軌道 / p-ラプラシアン / 準線形退化型楕円型方程式 / 非線形弾性方程式 / 非線形固有値問題 / 凸解析 / 変分原理 / biburcation theory / p(x)-Lanlacian / positive solution / variational inequatlity / anisotropic differential equation / 非等方方程式 / p(x)-ラプラシアン / 非等方微分方程式 / Core Curriculum of Mathematics / Core Curriculum / University of Education / 数学科 / 数学科カリキュラム / コア・カリキュラム / 教員養成系大学 / singularly perturbaed vector field / Conley Index / symbolic dynamical system / topological entropy / topological method / computational method / 微分方程式 / 計算機支援証明 / Lyapunov数 / heteroclinic軌道 / 特異摂動ベクトル場 / Conley指数 / 記号力学系 / 位相的エントロピー / 計算的方法 / variational inequality / variational equation / 比較定理 / 不安定解 / 急速増大度 / 正値多重解 / invariant measure / topological property / large degrees of freedom / complex dynamics / bifurcation / giobal structure / 特異性 / ヘテロクリニック軌道 / 非線型 / 数理物理 / 無限次元力学系 / 不変測度 / 位相的性質 / 大自由度 / 複素力学系 / 分岐 / mini-max principle / unbounded domain / minimal solution / nonlinear eigenvalue problem / p-Laplacian / bifurcation theory / 多重解 / mini-max原理 / 非有界領域 / 最小解 / 多重正値解 / stability / surface homeomorphism / bifurcation structure of traveling waves / fixed point index / homoclinic orbit / Ruelle's transfer operator / periodic indeterminate point / topological index / 安定解 / 自己 / Thurston's canonical form / connecting orbit / ホモクリニック分岐 / Ruelleのtransfer作用素 / 安定性 / 曲面同相写像 / 進行波の分岐構造 / 不動点指数 / ホモクリニック軌道 / Ruelle のtransfer作用素 / 周期的不定点 / 位相的指標 / Caristiの定理 / 写像の不動点 / 半順序集合 / 非線形解析 / Cheeger set / 不定符号係数 / ノイマン問題 / ディリクレ問題 / 自由境界 / 変分問題 / オーリッチ・ソボレフ空間 / 退化型準線形方程式 / 非線形ノイマン問題 / ディリクレ境界値問題 / 臨界指数 / 自由境界問題 / 変分法 / compatible / V^<(1)> / invariant valuation ring / localization / total valuation ring / prime ideal / grade ring / partial skew / semisimple / Guass extension / crossed product / prime / ideal / graded ring / total valuation / Gauss extension / polynomial / Ore / 環論 / 懸垂線 / アプリオリ評価 / 写像度 / Growth / オートマトン / 組みひも / 代数多様体 / 代数系 / 数論 / ミニマックス理論 / S^1-4-多様体 / ループ空間 / ホモロジー群 / 位相安定性 / moduli / end-periodic / インスタントン / 周期的 / 平均曲率 / 非線形楕円型方程式 / 遺伝的整環 / 射影的加群 / 商環 / 極大整環 / 中等イデアル / 次元 / 局所化 / 素イデアル / 作用素環 / 時間発展 / エルゴ-ド理論 / 平衡測度 / 古典力学 / 位相力学系 Less
  • Research Projects

    (22 results)
  • Research Products

    (3 results)
  • Co-Researchers

    (40 People)
  •  Free boundary problem with quasilinear elliptic equations

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  The study of the structure of Ore extension and its application

    • Principal Investigator
      MARUBAYASHI Hidetoshi, 小林 滋
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokushima Bunri University
      Naruto University of Education
  •  Research on the structure of solutions for anisotropic quasilinear elliptic equations

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  The Development of Teacher Training Core Curriculum of Mathematics in University of Education

    • Principal Investigator
      SAITO Noboru
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Science education
    • Research Institution
      Naruto University of Education
  •  Applications of fixed point theory to bifurcation problemsPrincipal Investigator

    • Principal Investigator
      MATSUOKA Takashi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Naruto University of Education
  •  Research on quasilinear elliptic equations with rapidly growing principal parts

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  Topological and computational methods for chaos and global structure of dynamical systems

    • Principal Investigator
      OKA Hiroe
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Ryukoku University
  •  Topological invariants for periodic points of torus mapsPrincipal Investigator

    • Principal Investigator
      MATSUOKA Takashi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Naruto University of Education
  •  Global structure of dynamical systems and their bifurcations

    • Principal Investigator
      NAKAHARA Takako, 國府 寛司
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Studies on Some Degenerate Quasilinear Elliptic Equations in Unbounded Domains

    • Principal Investigator
      NARUKAWA Kimiaki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Naruto University of Education
  •  Topological indices of dynamical systems

    • Principal Investigator
      YAMAGISHI Yoshikazu
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Ryukoku University
  •  Braid invariant for periodic points of surface maps and its applicationsPrincipal Investigator

    • Principal Investigator
      MATSUOKA Takashi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Naruto University of Education
  •  代数系及び数論に現れるGrowthの構造

    • Principal Investigator
      小林 滋
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Naruto University of Education
  •  非一様準線形楕円型方程式の研究

    • Principal Investigator
      成川 公明
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Naruto University of Education
  •  写像の周期点の分岐構造Principal Investigator

    • Principal Investigator
      松岡 隆
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Naruto University of Education
  •  自己双対接続のモジュライ空間についての位相的安定性とその応用

    • Principal Investigator
      松永 弘道
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Naruto University of Education
  •  準線形楕円型方程式の研究

    • Principal Investigator
      成川 公昭
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Naruto University of Education
  •  変分原理による非線形楕円型方程式の研究

    • Principal Investigator
      成川 公昭
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Naruto University of Education
  •  兀多様体のホモトピー類Principal Investigator

    • Principal Investigator
      松岡 隆
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Naruto University of Education
  •  整環の研究

    • Principal Investigator
      丸林 英俊
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Naruto University of Education
  •  力学系の構造

    • Principal Investigator
      MURATA Hiroshi
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Naruto University of Education
  •  不動点定理の研究

    • Principal Investigator
      井関 清志
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Naruto University of Education

All Other

All Journal Article

  • [Journal Article] Periodic points and braid theory

    • Author(s)
      Takashi Matsuoka
    • Journal Title

      Topological Fixed Point Theory and its Applications (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540081
  • [Journal Article] Periodic points and braid theory

    • Author(s)
      Takashi Matsuoka
    • Journal Title

      Topological Fixed Point Theory and its Applications (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540081
  • [Journal Article] Periodic points and braid theory

    • Author(s)
      Takashi Matsuoka
    • Journal Title

      Topological Fixed Point Theory and its Applications (発表予定)

    • Data Source
      KAKENHI-PROJECT-15540081
  • 1.  NARUKAWA Kimiaki (60116639)
    # of Collaborated Projects: 15 results
    # of Collaborated Products: 0 results
  • 2.  MARUBAYASHI Hidetoshi (00034702)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 3.  MURATA Hiroshi (20033897)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 4.  KOBAYASHI Shigeru (10195779)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  MATSUNAGA Hiromichi (30032634)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  ITO Masayuki (70136034)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  FUKAGAI Nobuyoshi (90175563)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  HAYAKAWA Eijirou (50240776)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  堀内 清光 (90211549)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  田中 昭太郎 (10179757)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  南 春男 (90047233)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  SAITO Noboru (60221256)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  TORISU Ichiro (50323134)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  YAMAGISHI Yoshikazu (40247820)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  KOKUBU Hiroe (20215221)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  ITO Toshikazu (60110178)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  NII Shunsaku (50282421)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  NAKAHARA Takako (90155797)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  ISHII Yutaka (20304727)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  SAWABE Masato (60346624)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  高山 茂晴 (20284333)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  湯谷 洋 (80200872)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  植田 玲 (70213345)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  平野 康之 (90144732)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  井関 清志 (20030744)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  USHIKI Shigehire (10093197)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  森田 善久 (10192783)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  四ツ谷 晶二 (60128361)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  山口 昌哉 (30025796)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  國府 寛司 (50202057)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  TSUJII Masato (20251598)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  SHISHIKURA Mitsuhiro (70192606)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  KOMURO Motomasa (00186818)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  HIRAIDE Koichi (50181136)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  岡本 久 (40143359)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  深谷 賢治 (30165261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  河野 明 (00093237)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  西田 孝明 (70026110)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  小澤 孝夫 (60025913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  HATTORI Katsunori (10284332)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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