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
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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

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

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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

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12. KOKUBU Hiroe (20215221)

# of Collaborated Projects: 1 results

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13. ITO Toshikazu (60110178)

# of Collaborated Projects: 1 results

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14. 早川英治郎 (50240776)

# of Collaborated Projects: 1 results

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15. 森田善久 (10192783)

# of Collaborated Projects: 1 results

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16. 四ツ谷晶二 (60128361)

# of Collaborated Projects: 1 results

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17. 山口昌哉 (30025796)

# of Collaborated Projects: 1 results

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18. NISHLURA Yasumasa (00131277)

# of Collaborated Projects: 1 results

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19. YANAGITA Tatsuo (80242262)

# of Collaborated Projects: 1 results

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20. KOBAYASHI Ryo (60153657)

# of Collaborated Projects: 1 results

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21. TSUDA Ichiro (10207384)

# of Collaborated Projects: 1 results

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22. UEYAMA Daishin (20304389)

# of Collaborated Projects: 1 results

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23. SAKAMOTO Kunimochi (40243547)

# of Collaborated Projects: 1 results

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24. FUKUI Toshizumi (90218892)

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25. 國府寛司 (50202057)

# of Collaborated Projects: 1 results

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26. SHISHIKURA Mitsuhiro (70192606)

# of Collaborated Projects: 1 results

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27. KOMURO Motomasa (00186818)

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28. HIRAIDE Koichi (50181136)

# of Collaborated Projects: 1 results

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29. 岡本久 (40143359)

# of Collaborated Projects: 1 results

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30. 深谷賢治 (30165261)

# of Collaborated Projects: 1 results

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31. 河野明 (00093237)

# of Collaborated Projects: 1 results

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32. 西田孝明 (70026110)

# of Collaborated Projects: 1 results

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33. NAITO Koichiro (10164104)

# of Collaborated Projects: 1 results

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34. OSHIMA Yoichi (20040404)

# of Collaborated Projects: 1 results

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35. MISAWA Masashi (40242672)

# of Collaborated Projects: 1 results

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36. KADOTA Noriya (80185884)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. SADAHIRO Taizou (00280454)

# of Collaborated Projects: 1 results

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38. 千葉逸人 (70571793)

# of Collaborated Projects: 1 results

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NII Shunsaku 新居 俊作

新居 俊作 ニイ シユンサク

NII Syun-saku

Research Projects

Research Products

Co-Researchers

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

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Review Section

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Studies of differential equations in dynamical systems view by means of geometric and topological methodsPrincipal Investigator

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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

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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

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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

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

Author(s)

Journal Title

DOI

NII Shunsaku 新居俊作

新居俊作ニイシユンサク