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NII Shunsaku  新居 俊作

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新居 俊作  ニイ シユンサク

NII Syun-saku

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Researcher Number 50282421
Other IDs
External Links
Affiliation (Current) 2025: 九州大学, 数理学研究院, 准教授
Affiliation (based on the past Project Information) *help 2015 – 2023: 九州大学, 数理学研究院, 准教授
2012 – 2013: 九州大学, 数理(科)学研究科(研究院), 准教授
2011: 九州大学, 大学院・数理学研究院, 准教授
2009 – 2010: Kyushu University, 数理学研究院, 准教授
2008 – 2009: 九州大学, 大学院・数理学研究院, 准教授 … More
2007: 九州大学, 大学院・理学研究院, 准教授
2004 – 2005: 九州大学, 大学院・数理学研究院, 助教授
2002 – 2003: 九州大学, 数理学研究院, 助教授
2002: 九州大学, 大学院・数理学研究員, 助教授
2002: Kyushu Univ., Fac. of Math., Associate Professor, 大学院・数理学研究院, 助教授
1997 – 2001: 埼玉大学, 理学部, 助手
1999: Saitama Univ., Department of Math., Inst.
1998: 埼玉大, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / Basic Section 12020:Mathematical analysis-related / Global analysis / General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Global analysis / Geometry / Global analysis
Keywords
Principal Investigator
Stability Index / 進行波 / 相転移 / Conley Index / 位相的方法 / Hot spot / 力学系 / Maslov Index / 無限次元 / コンパクト性 … More / 分岐理論 / モース関数 / 幾何学的手法 / 幾何学的方法 / 分岐 / Evan's Function / 線形化固有値問題 / ヘテロクリニック分岐 / ホモ / Evans function / Evans関数 / 無限次元Grassmann多様体 / pitchfork分岐 / Hopf分岐 / 固有値問題 / 線型安定性 … More
Except Principal Investigator
カオス / chaos / 力学系 / 微分ゲーム / ハルナックの不等式 / 完全非線形方程式 / 最適制御 / 一様楕円型方程式 / 退化楕円型方程式 / 粘性解 / bifurcation / 分岐 / Conley index / 周期軌道 / 双曲力学系 / 量子カオス / スペクトル / エルゴード理論 / 相関の減衰 / 準古典解析 / 離散スペクトル / 葉層のコホモロジー / アノソフ / 力学系のゼータ関数 / 大偏差原理 / 接触アノソフ流 / 指数混合性 / アノソフ流 / 転送作用素 / self-similarity / KAM theorem / Diophantine approximation / fractal dimension / attractor / quasi periodicity / nonlinear PDE / ディオファンタス条件 / 再帰性 / 準周期性 / 自己相似性 / KAM定理 / ディオファンタス近似 / フラクタル次元 / アトラクタ / 準周期的軌道 / 非線形偏微分方程式 / Optimal Controls / Mathematical Finance / Harnack Inequality / Variational Problems / Fully Nonlinear Equations / Uniformly Elliptic Equations / Degenerate Elliptic Equations / Viscosity Solutions / 状態拘束条件 / 一様楕円形方程式 / 退化楕円形方程式 / 数理ファイナンス / ハルナック不等式 / 変分問題 / invariant measure / topological property / large degrees of freedom / complex dynamics / giobal structure / dynamical system / 特異性 / ヘテロクリニック軌道 / 特異摂動 / 非線型 / 数理物理 / 無限次元力学系 / 位相的方法 / 不変測度 / 位相的性質 / 大自由度 / 複素力学系 / 大域的構造 / Isaacs equation / Hamilton-Jacobi-Bellman equation / dynamic programming / state constraint / differential game / optimal control / degenerate elliptic equation / viscosity solutions / 半連続性解 / アイザックス方程式 / ハミルトン・ヤコビ方程式 / 動的計画原理 / 半連続粘性解 / 最大値原理 / 比較定理 / transient dynamics / rugged landscape / pulse interaction / reaction diffusion system / pattern formation / self-replication pattern / 分岐解追跡ソフトウエアー / グレインバウンダリー / 界面ダイナミクス / 極限点の整列階層構造 / 反応拡散方程式 / 遷移ダイナミクス / 多谷構造 / パルス相互作用 / 反応拡散系 / パターン形式 / 自己複製パターン / 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 / 転移作用素 / ゼータ関数 / 関数解析 Less
  • Research Projects

    (13 results)
  • Research Products

    (13 results)
  • Co-Researchers

    (38 People)
  •  無限次元力学系における位相的方法の研究Principal Investigator

    • Principal Investigator
      新居 俊作
    • Project Period (FY)
      2019 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Kyushu University
  •  Spectrum of transfer operators for hyperbolic dynamical systems

    • Principal Investigator
      Tsujii Masato
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Studies of differential equations in dynamical systems view by means of geometric and topological methodsPrincipal Investigator

    • Principal Investigator
      NII Shunsaku
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyushu University
  •  Study of functional analytic methods in dynamical system theory

    • Principal Investigator
      TSUJII Masato
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kyushu University
      Hokkaido University
  •  Analysis on the fractal structure of quasi periodic orbits for nonlinear evolution equations

    • Principal Investigator
      NAITO Koichiro
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      KUMAMOTO UNIVERSITY
  •  微分方程式の解の分岐及び安定性の理論における位相的方法の研究Principal Investigator

    • Principal Investigator
      新居 俊作
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Kyushu University
  •  力学系の分岐及び安定性の理論における位相的方法の研究Principal Investigator

    • Principal Investigator
      新居 俊作
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Global analysis
    • Research Institution
      Saitama University
  •  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
  •  Study on Optimal Controls and Differential Games via the Viscosity Solution Theory

    • Principal Investigator
      KOIKE Shigeaki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saitama University
  •  進行波解の構造と安定性に対する位相的方法の研究Principal Investigator

    • Principal Investigator
      新居 俊作
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saitama University
  •  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
  •  Infinite Dimensional Transient Dynamics in Dissipative Systems

    • Principal Investigator
      NISHLURA Yasumasa
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Applications to the optimal control and differential game via the viscosity solution theory

    • Principal Investigator
      KOIKE Shigeaki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saitama University

All 2018 2016 2012 2010 2009 2008 2006

All Journal Article Presentation

  • [Journal Article] Genericity of interactions with potentials being Morse functions2018

    • Author(s)
      Nii Shunsaku
    • Journal Title

      Journal of Geometry and Physics

      Volume: 129 Pages: 233-237

    • DOI

      10.1016/j.geomphys.2018.03.013

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03627
  • [Journal Article] Bifurcations of stationary solutions with triple junctions in phase separation problems --A new view of bifurcation analysis--2009

    • Author(s)
      新居俊作
    • Journal Title

      Physica D 238

      Pages: 1050-1055

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340044
  • [Journal Article] Bifurcations of stationary solutions with triple junctions in phase separation problems-A new view of bifurcation analysis-2009

    • Author(s)
      Nii, Shunsaku
    • Journal Title

      in Physica D 238

      Pages: 1050-1055

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340044
  • [Journal Article] Bifurcations of stationary solutions with triple junctions in phase separation problems --A new view of bifurcation analysis--2009

    • Author(s)
      Shunsaku Nii
    • Journal Title

      Physica D 238

      Pages: 1050-1055

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540221
  • [Journal Article] An Infinite-dimensional Evans function theory for elliptic boundary value problems2008

    • Author(s)
      新居 俊作
    • Journal Title

      Jounal of Differential Equations 244

      Pages: 753-765

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340044
  • [Journal Article] An infinite-dimensional Evans function theory for elliptic boundary value problems2008

    • Author(s)
      Deng, Jian; Nii, Shunsau
    • Journal Title

      J. Differential Equations 244,no.4

      Pages: 753-765

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340044
  • [Journal Article] An infinite-dimensional Evans function theory for elliptic boundary value problems2008

    • Author(s)
      新居 俊作, Deng Jian
    • Journal Title

      Journal of Differential Equations 244-4

      Pages: 753-765

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340044
  • [Journal Article] Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel2006

    • Author(s)
      Deng, Jian; Nii, Shunsaku
    • Journal Title

      J. Differential Equations no.1,225

      Pages: 57-89

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340044
  • [Presentation] 変分原理、対称性、熱力学2016

    • Author(s)
      新居 俊作
    • Organizer
      HMMCセミナー
    • Place of Presentation
      北海道大学電子科学研究所
    • Year and Date
      2016-02-11
    • Data Source
      KAKENHI-PROJECT-15H03627
  • [Presentation] 任意のシステムサイズに対しポテンシャルがモース関数となる隣接相互作用のgenericity2012

    • Author(s)
      新居俊作
    • Organizer
      日本応用数理学会2012年研究部会連合発表会
    • Place of Presentation
      九州大学(招待講演)
    • Year and Date
      2012-03-09
    • Data Source
      KAKENHI-PROJECT-21540221
  • [Presentation] Infinite dimensional Stability Index2010

    • Author(s)
      Shunsaku Nii
    • Organizer
      SIAM Conference on Nonlinear Waves and Coherent Structures
    • Place of Presentation
      Sheraton Society Hill Hotel, Philadelphia, Pennsylvania, U.S.A
    • Year and Date
      2010-08-17
    • Data Source
      KAKENHI-PROJECT-21540221
  • [Presentation] 平衡点の局所安定化による超臨界分岐の亜臨界化2010

    • Author(s)
      新居俊作
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶応大学
    • Year and Date
      2010-03-27
    • Data Source
      KAKENHI-PROJECT-21540221
  • [Presentation] 有限次元蔵元モデル2010

    • Author(s)
      新居俊作
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶応大学
    • Year and Date
      2010-03-27
    • Data Source
      KAKENHI-PROJECT-21540221
  • 1.  ISHII Yutaka (20304727)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  TSUJII Masato (20251598)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  MATSUOKA Takashi (50127297)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  KOIKE Shigeaki (90205295)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  SAKURAI Tsutomu (40187084)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  TSUJIOKA Kunio (30012412)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  ISHII Hitoshi (70102887)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  NAKAHARA Takako (90155797)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  由利 美智子 (70174836)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  YAMAGISHI Yoshikazu (40247820)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  USHIKI Shigehire (10093197)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KOKUBU Hiroe (20215221)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  ITO Toshikazu (60110178)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  早川 英治郎 (50240776)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  森田 善久 (10192783)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  四ツ谷 晶二 (60128361)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  山口 昌哉 (30025796)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  NISHLURA Yasumasa (00131277)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  YANAGITA Tatsuo (80242262)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  KOBAYASHI Ryo (60153657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  TSUDA Ichiro (10207384)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  UEYAMA Daishin (20304389)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  SAKAMOTO Kunimochi (40243547)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  FUKUI Toshizumi (90218892)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  國府 寛司 (50202057)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  SHISHIKURA Mitsuhiro (70192606)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  KOMURO Motomasa (00186818)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  HIRAIDE Koichi (50181136)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  岡本 久 (40143359)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  深谷 賢治 (30165261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  河野 明 (00093237)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  西田 孝明 (70026110)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  NAITO Koichiro (10164104)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  OSHIMA Yoichi (20040404)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  MISAWA Masashi (40242672)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  KADOTA Noriya (80185884)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  SADAHIRO Taizou (00280454)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  千葉 逸人 (70571793)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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