Shibayama Mitsuru 柴山允瑠

… Alternative Names

SHIBAYAMA Mitsuru 柴山允瑠

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Researcher Number	40467444
Other IDs
Affiliation (Current)	2025: 京都大学, 情報学研究科, 准教授
Affiliation (based on the past Project Information) *help	2015 – 2024: 京都大学, 情報学研究科, 准教授 2017: 京都大学, 数理解析研究所, 研究員 2011 – 2014: 大阪大学, 基礎工学研究科, 講師 2012: 大阪大学, 大学院・基礎工学研究科, 講師 2010: 京都大学, 数理解析研究所, 特定研究員(グローバルCOE)
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Basic analysis / Global analysis Except Principal Investigator Basic analysis / Basic Section 12040:Applied mathematics and statistics-related / Foundations of mathematics/Applied mathematics / Mathematical analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 周期解 / 変分法 / 天体力学 / ハミルトン系 / 組みひも / n体問題 / 変分問題 / 3体問題 / 可積分性 / ハミルトン力学系 … More / 分岐 / 力学系 / 安定性 / 周期軌道 / 共鳴 / ポテンシャル系 / サドル-センター / シンプレクティック写像 / 不変集合 / 衛星形成 / モース理論 / Kirkwood gaps / Arnold拡散 / 面積保存写像 / n中心問題 / 制限n体問題 / Sitnikov問題 / 記号力学系 / 微分ガロア理論 / 非可積分性 / 特異点解析 / 峠の定理 / 勾配法 / 摂動論 / 衝突 / N体問題 / ブローアップ / スケーリング / 特異点 / 対称性 / カオス / 多体問題 … More Except Principal Investigator 力学系 / 標準形理論 / バーコフ標準形 / 超可積分系 / 超可積分性 / シンプレクティック写像 / 可積分系 / 標準形 / ハミルトン系 / 微分ガロア理論 / 分岐 / ホモクリニック軌道 / 逆散乱法 / 可積分性 / 摂動問題 / 解析学 / 非可換 / バーコフ標準化 / 写像の標準形 / 剛性 / ハミルトン力学系 / 流体 / 渦力学 / 乱流理論 / 統計力学 / 数理物理 / 関数方程式論 / 流体力学 / 応用数学 / 反転可能系 / 微分方程式 / 非可積分性 / カオス / 区分的に滑らかな系 / 周期摂動系 / 不規則摂動系 / 偏微分方程式系 / 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 / ヘテロクリニック挙動 / ホモ / 周期軌道 / パルス解 / 数値解析 / 摂動法 / ホモ/ヘテロクリニック挙動 / 無限次元系 Less

変分法と位相幾何学によるハミルトン系の新たな理論の構築と展開Principal Investigator
- Principal Investigator
  
  柴山允瑠
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kyoto University
Development of innovative theories on integrability of dynamical systems and their applications
- Principal Investigator
  
  矢ヶ崎一幸
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Kyoto University
変分法による周期軌道の個数評価と分岐解析および複雑な軌道の存在証明Principal Investigator
- Principal Investigator
  
  柴山允瑠
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kyoto University
Analysis of rigidity and global structure for integrable systems by using normal form theory
- 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
Understanding of turbulent phenomena through dissipative weak solutions to fluid equations
- Principal Investigator
  
  Sakajo Takashi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kyoto University
Research on particular solutions and dynamics around them for Hamiltonian systemsPrincipal Investigator
- Principal Investigator
  
  Shibayama Mitsuru
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
  Osaka University
Perturbation problems for degenerate integrable systems and mathematics for resonance phenomena
- 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
Normal forms for superintegrable systems at singular points and their perturbation problems
- 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
Variational approach to the n-body problemPrincipal Investigator
- Principal Investigator
  
  SHIBAYAMA Mitsuru
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
  Kyoto 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

[Book] 重点解説　ハミルトン力学系　-- 可積分系とKAM理論を中心に --2016
- Author(s)
  柴山允瑠
- Total Pages
  171
- Publisher
  サイエンス社
- Data Source
  KAKENHI-PROJECT-25400108
[Book] ハミルトン力学系-可積分系とKAM理論を中心に-2016
- Author(s)
  柴山允瑠
- Total Pages
  184
- Publisher
  サイエンス社
- Data Source
  KAKENHI-PROJECT-26800059
[Journal Article] Braids, metallic ratios and periodic solutions of the 2n-body problem2023
- Author(s)
  Kajihara Yuika、Kin Eiko、Shibayama Mitsuru
- Journal Title
  
  Topology and its Applications
  
  Volume: 337 Pages: 108640-108640
- DOI
  10.1016/j.topol.2023.108640
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03366, KAKENHI-PROJECT-21K03247, KAKENHI-PROJECT-23K22409, KAKENHI-PROJECT-23K22396
[Journal Article] Variational proof of the existence of periodic orbits in the anisotropic Kepler problem2023
- Author(s)
  Iguchi Shota、Shibayama Mitsuru
- Journal Title
  
  Celestial Mechanics and Dynamical Astronomy
  
  Volume: 135 Issue: 3 Pages: 27-27
- DOI
  10.1007/s10569-023-10133-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03366, KAKENHI-PROJECT-23K22409
[Journal Article] A mechanical true random number generator2022
- Author(s)
  Akashi Nozomi、Nakajima Kohei、Shibayama Mitsuru、Kuniyoshi Yasuo
- Journal Title
  
  New Journal of Physics
  
  Volume: 24 Issue: 1 Pages: 013019-013019
- DOI
  10.1088/1367-2630/ac45ca
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PLANNED-18H05472, KAKENHI-PROJECT-18K03366
[Journal Article] Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems2022
- Author(s)
  Iguchi Shota、Kajihara Yuika、Shibayama Mitsuru
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 40 Issue: 1 Pages: 513-524
- DOI
  10.1007/s13160-022-00539-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03366
[Journal Article] Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem2022
- Author(s)
  Kajihara Yuika、Shibayama Mitsuru
- Journal Title
  
  Nonlinearity
  
  Volume: 35 Issue: 3 Pages: 1431-1446
- DOI
  10.1088/1361-6544/ac4c2b
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03366
[Journal Article] 変分法による非等方ケプラー問題の周期解の存在証明,2021
- Author(s)
  井口翔太, 柴山允瑠,
- Journal Title
  
  数理解析研究所講究録「数理科学の諸問題と力学系理論の新展開」
  
  Volume: 2181
- Open Access
- Data Source
  KAKENHI-PROJECT-18K03366
[Journal Article] 面積保存エノン写像の周期点に関する変分解析およびモース指数と分岐の関係について2021
- Author(s)
  柴山允瑠, 山田光隆
- Journal Title
  
  数理解析研究所講究録「数理科学の諸問題と力学系理論の新展開」
  
  Volume: 2181
- Open Access
- Data Source
  KAKENHI-PROJECT-18K03366
[Journal Article] 作用積分によるエネルギー固定間題の変分解析2021
- Author(s)
  柴山允瑠
- Journal Title
  
  数理解析研究所講究録「数理科学の諸問題と力学系理論の新展開」
  
  Volume: 2181
- Data Source
  KAKENHI-PROJECT-18K03366
[Journal Article] ポテンシャル系の変分解析と周期解の安定性2020
- Author(s)
  柴山允瑠
- Journal Title
  
  応用数理
  
  Volume: －
- NAID
  130007867072
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03366
[Journal Article] Variational proof of the existence of brake orbits in the planar 2-center problem2019
- Author(s)
  Yuika Kajihara and Mitsuru Shibayama
- Journal Title
  
  Discrete and Continuous Dynamical Systems-A
  
  Volume: 印刷中
- NAID
  120006712787
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800059
[Journal Article] Variational Construction of Orbits Realizing Symbolic Sequences in the Planar Sitnikov Problem2019
- Author(s)
  Shibayama Mitsuru
- Journal Title
  
  Regular and Chaotic Dynamics
  
  Volume: 24 Issue: 2 Pages: 202-211
- DOI
  10.1134/s1560354719020060
- NAID
  120007173782
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03366, KAKENHI-PROJECT-17H02859, KAKENHI-PROJECT-26800059
[Journal Article] Variational proof of the existence of brake orbits in the planar 2-center problem2019
- Author(s)
  Yuika Kajihara and Mitsuru Shibayama
- Journal Title
  
  Discrete and Continuous Dynamical Systems-A
  
  Volume: 印刷中
- NAID
  120006712787
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03366
[Journal Article] Non-integrability of the spacial n-center problem2018
- Author(s)
  Mitsuru Shibayama
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 印刷中 Issue: 6 Pages: 2461-2469
- DOI
  10.1016/j.jde.2018.04.037
- NAID
  120006601517
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800059, KAKENHI-PROJECT-26287023, KAKENHI-PROJECT-18K03366, KAKENHI-PROJECT-17H02859
[Journal Article] Linear stability of periodic three-body orbits with zero angular momentum and topological dependence of Kepler’s third law: a numerical test2018
- Author(s)
  Dmitrasinovic V、Hudomal Ana、Shibayama Mitsuru、Sugita Ayumu
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 51 Issue: 31 Pages: 315101-315101
- DOI
  10.1088/1751-8121/aaca41
- NAID
  120006601519
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03366, KAKENHI-PROJECT-17H02859, KAKENHI-PROJECT-26800059
[Journal Article] Periodic solutions of a perscribed-energy problem for a singular Hamiltonian system2017
- Author(s)
  M. Shibayama
- Journal Title
  
  Discrete and Continuous Dynamical Systems A
  
  Volume: 37 Issue: 5 Pages: 2705-2715
- DOI
  10.3934/dcds.2017116
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26287023, KAKENHI-PROJECT-25400168, KAKENHI-PROJECT-26800059, KAKENHI-PROJECT-17H02859
[Journal Article] Periodic solutions of a perscribed-energy problem for a singular Hamiltonian system2017
- Author(s)
  Mitsuru SHIBAYAMA
- Journal Title
  
  Discrete and Continuous Dynamical Systems A
  
  Volume: 37 Pages: 2705-2715
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400108
[Journal Article] Three topologically nontrivial choreographic motions of three bodies2016
- Author(s)
  Milovan Suvakov, Mitsuru Shibayama
- Journal Title
  
  Celestial Mechanics and Dynamical Astronomy
  
  Volume: 124 Issue: 2 Pages: 155-162
- DOI
  10.1007/s10569-015-9657-9
- NAID
  120006601520
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400168, KAKENHI-PROJECT-26800059
[Journal Article] Singularity analysis of the restricted three-body problem2016
- Author(s)
  Mitsuru SHIBAYAMA
- Journal Title
  
  天体力学N体力学研究会2016集録（３）
  
  Volume: - Pages: 1-5
- Data Source
  KAKENHI-PROJECT-25400108
[Journal Article] Variational proof of the existence of the super-eight orbit in the four-body problem2014
- Author(s)
  Mitsuru Shibayama
- Journal Title
  
  Archive for Rational Mechanics and Analysis
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400168
[Journal Article] Minimax approach to the n-body problem2014
- Author(s)
  Mitsuru Shibayama
- Journal Title
  
  Advanced Studies in Pure Mathematics: Nonlinear Dynamics in Partial Differential Equations
  
  Volume: 64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400168
[Journal Article] Variational proof of the existence of the super-eight orbit in the four-body problem2014
- Author(s)
  Mitsuru Shibayama
- Journal Title
  
  Archive for Rational Mechanics and Analysis
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Variational proof of the existence of the super-eight orbit in the four-body problem2014
- Author(s)
  M. Shibayama
- Journal Title
  
  Archive for Rational Mechanics and Analysis
  
  Volume: (In press) Issue: 1 Pages: 77-98
- DOI
  10.1007/s00205-014-0753-x
- Year and Date
  2014-04-23
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Minimax approach to the n-body problem2014
- Author(s)
  Mitsuru Shibayama
- Journal Title
  
  ASPM, Nonlinear Dynamics in Partial Differential Equations
  
  Volume: 64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Minimax approach to the n-body problem, ASPM2013
- Author(s)
  M. Shibayama
- Journal Title
  
  Nonlinear Dynamics in Partial Differential Equations
  
  Volume: vol.64(In press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Action minimizing periodic solutions in the N-body problem2012
- Author(s)
  Mitsuru Shibayama
- Journal Title
  
  proceedings of Sino-Japan conference
  
  Volume: 1 Pages: 169-182
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Action minimizing periodic solutions in the N-body problem2012
- Author(s)
  M. Shibayama
- Journal Title
  
  proceedings of Sino-Japan conference 2011
  
  Pages: 169-182
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Morse index of periodic solutions in the n-body problem2012
- Author(s)
  M. Shibayama
- Journal Title
  
  天体力学N体力学研究会2011集録
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three body problem2011
- Author(s)
  M. Shibayama and K. Yagasaki
- Journal Title
  
  Celestial Mechanics and Dynamical Astronomy
  
  Volume: Vol.110 Issue: 1 Pages: 53-70
- DOI
  10.1007/s10569-011-9338-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540180, KAKENHI-PROJECT-22740104
[Journal Article] Non-integrability of the collinear three-body problem2011
- Author(s)
  M. Shibayama
- Journal Title
  
  Discrete and Continuous Dynamical Systems-A
  
  Volume: 30 Issue: 1 Pages: 299-312
- DOI
  10.3934/dcds.2011.30.299
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Minimizing periodic orbits with regularizable collisions in the n-body problem2011
- Author(s)
  M. Shibayama
- Journal Title
  
  Archive for Rational Mechanics and Analysis
  
  Volume: 199 Pages: 821-841
- NAID
  120003001325
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540124
[Journal Article] 舞踏解に関する第二変分の数値計算2011
- Author(s)
  柴山允瑠
- Journal Title
  
  天体力学N体力学研究会集録
  
  Pages: 198-206
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Non-integrability of the collinear three-body problem2011
- Author(s)
  M. Shibayama
- Journal Title
  
  Discrete and Continuous Dynamical Systems A
  
  Volume: 30 Pages: 299-312
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540124
[Journal Article] Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem2011
- Author(s)
  M. Shibayama and K. Yagasaki
- Journal Title
  
  Celestial Mechanics and Dynamical Astronomy
  
  Volume: 110 Pages: 53-70
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540124
[Journal Article] 舞踏解に関する第二変分の数値計算2011
- Author(s)
  柴山允瑠
- Journal Title
  
  天体力学N体力学研究会・ちばN体2010集録
  
  Pages: 198-206
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Minimizing periodic orbits with regularizable collisions in the n body problem2011
- Author(s)
  M. Shibayama
- Journal Title
  
  Archive for Rational Mechanics and Analysis
  
  Volume: Vol.199 Issue: 3 Pages: 821-841
- DOI
  10.1007/s00205-010-0334-6
- NAID
  120003001325
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540180, KAKENHI-PROJECT-22740104
[Journal Article] 二等辺三体問題の三体衝突間のヘテロクリニック軌道と相対周期軌道2010
- Author(s)
  柴山允瑠, 矢ヶ崎一幸
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1692 Pages: 39-45
- Data Source
  KAKENHI-PROJECT-22740104
[Journal Article] Existence and stability of periodic solutions in the isosceles three-body problem2009
- Author(s)
  M. Shibayama
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B13 Pages: 141-155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540124
[Journal Article] Birkhoff normalization and superintegrability of Hamiltonian systems2009
- Author(s)
  M. Shibayama
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 29 Pages: 1853-1880
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540124
[Journal Article] Free-fall and hetero- clinic orbits to triple collisions in the isosceles three-body problem2009
- Author(s)
  M. Shibayama
- Journal Title
  
  Journal of Mathematics of Kyoto University
  
  Volume: 49 Pages: 735-746
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540124
[Presentation] n 体問題の周期解と近衝突解について2024
- Author(s)
  柴山允瑠
- Organizer
  接触構造、特異点、微分方程式及びその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Zoll 曲面上の測地流の超可積分性2024
- Author(s)
  小川響生，柴山允瑠
- Organizer
  天体力学 N 体力学研究会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 変分法と力学系理論による制限 3 体問題の軌道の数値計算2024
- Author(s)
  柴山允瑠
- Organizer
  天体力学 N 体力学研究会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 変分法と力学系理論による探査機の軌道設計2024
- Author(s)
  柴山允瑠
- Organizer
  プラネタリーディフェンス・シンポジウム
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 面積保存写像における楕円型不動点周辺のlast KAM 曲線について2024
- Author(s)
  柴山允瑠
- Organizer
  冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Computer-assisted proof for non-existence of invariant closed curves for the standard maps,2023
- Author(s)
  柴山允瑠
- Organizer
  冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Periodic and homo/heteroclinic solutions of the restricted three-body problem2023
- Author(s)
  柴山允瑠
- Organizer
  冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Computer-assisted proof for non-existence of invariant closed curves for the standard maps2023
- Author(s)
  柴山允瑠
- Organizer
  冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Periodic and heteroclinic solutions in the restricted three-body problem2023
- Author(s)
  Mitsuru Shibayama
- Organizer
  Work- shop on Variational Methods and Dispersive Equations (RIMS)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Periodic and homo/heteroclinic solutions of the restricted three-body problem2023
- Author(s)
  Mitsuru Shibayama
- Organizer
  ICIAM 2023 Tokyo
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Non-integrability criterion for homogeneous Hamiltonian systems via blowing- up theory2023
- Author(s)
  Mitsuru Shibayama
- Organizer
  The 8th Workshop on Hamiltonian Systems and Related Topics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 面積保存ツイスト写像の不変曲線の非存在証明2022
- Author(s)
  柴山允瑠，東浜有輝
- Organizer
  応用数理学会正会員主催OS「応用力学系」
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 面積保存ツイスト写像の不変曲線が存在しないための十分条件2022
- Author(s)
  柴山允瑠
- Organizer
  RIMS研究集会「力学系の理論と諸分野への応用」
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 面積保存ツイスト写像の不変曲線の非存在証明2022
- Author(s)
  柴山允瑠，東浜有輝
- Organizer
  応用数理学会正会員主催OS「応用力学系」
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] 面積保存ツイスト写像の不変曲線が存在しないための十分条件2022
- Author(s)
  柴山允瑠
- Organizer
  RIMS研究集会「力学系の理論と諸分野への応用」
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] 制限3体問題とHill問題の軌道の変分解析および惑星探査機と人工衛星の軌道設計への応用2022
- Author(s)
  柴山允瑠
- Organizer
  京都応用数学セミナー & 京都力学系セミナー共催
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 変分法による空間Hill問題の周期軌道の存在証明2021
- Author(s)
  柴山允瑠、梶原唯加、井口翔太
- Organizer
  応用数理学会正会員主催OS「応用力学系」
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] 変分法によるN体問題の周期解の存在証明とその組みひもについて2021
- Author(s)
  柴山允瑠
- Organizer
  東工大数理解析セミナー
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 作用積分によるエネルギー固定問題の変分解析2021
- Author(s)
  柴山允瑠
- Organizer
  冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 変分法による空間Hill 問題の周期軌道の存在証明2021
- Author(s)
  柴山允瑠，梶原唯加，井口翔太
- Organizer
  応用数理学会正会員主催OS「応用力学系」
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 変分法によるポテンシャル系の孤立不変集合のコホモロジーの評価2020
- Author(s)
  柴山允瑠
- Organizer
  冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Variational construction of orbits realizing symbolic sequences in the planar Sitnikov problem2020
- Author(s)
  Mitsuru Shibayama
- Organizer
  ariational analysis of critical problems on nonlinear partial differential equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] トーラス上の面積保存写像の母関数の多価性と周期点の個数評価2020
- Author(s)
  柴山允瑠
- Organizer
  RIMS 研究集会「数理科学の諸問題と力学系理論の新展開」
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] トーラス上の面積保存写像の母関数の多価性と周期点の個数評価2020
- Author(s)
  柴山允瑠
- Organizer
  応用数理学会正会員主催OS「応用力学系」
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 変分法による孤立不変集合のコホモロジーの評価2020
- Author(s)
  柴山允瑠
- Organizer
  RIMS 研究集会「数理科学の諸問題と力学系理論の新展開」
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] トーラス上の面積保存写像の母関数の多価性と周期点の個数評価2020
- Author(s)
  柴山允瑠
- Organizer
  RIMS 研究集会「数理科学の諸問題と力学系理論の新展開」
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] 変分法によるポテンシャル系の孤立不変集合のコホモロジーの評価2019
- Author(s)
  柴山允瑠
- Organizer
  第9 回岐阜数理科学研究会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 平面 Sitnikov 問題における記号列を実現する軌道と周期軌道の存在2019
- Author(s)
  柴山允瑠
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] ポテンシャル系の孤立不変集合のコホモロジーの評価2019
- Author(s)
  柴山允瑠
- Organizer
  応用数理学会正会員主催OS「応用力学系」
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 変分法によるポテンシャル系の孤立不変集合のコホモロジーの評価2019
- Author(s)
  柴山允瑠
- Organizer
  第7回「ハミルトン系とその周辺」研究集会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 平面 Sitnikov 問題における記号列を実現する軌道と周期軌道の存在2019
- Author(s)
  柴山允瑠
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 変分法による平面2中心問題におけるbrake軌道の存在証明2019
- Author(s)
  梶原唯加，柴山允瑠
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Variational approach to the theory of isolated invariant sets for potential systems2019
- Author(s)
  Mitsuru Shibayama
- Organizer
  天体力学N体力学研究会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 一般的な相互作用力による平面三体問題の非可積分性について2019
- Author(s)
  山田淳二，柴山允瑠
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 一般的な相互作用力による平面三体問題の非可積分性について2019
- Author(s)
  山田淳二，柴山允瑠
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] 変分法による平面2中心問題におけるbrake軌道の存在証明2019
- Author(s)
  梶原唯加，柴山允瑠
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 一般的な相互作用力による平面三体問題の非可積分性について2019
- Author(s)
  山田淳二，柴山允瑠
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] 平面 Sitnikov 問題における周期解とヘテロクリニック軌道について2018
- Author(s)
  柴山允瑠
- Organizer
  RIMS 研究集会「力学系 -理論と応用の融合-」
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Variational construction of periodic and heteroclinic orbits in the planar Sitnikov problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  BOSTON UNIVERSITY/KEIO UNIVERSITY WORKSHOP 2018- Dynamical Systems
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Variational construction of periodic and connecting orbits in the planar Sitnikov problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Variational construction of periodic and connecting orbits in the planar Sitnikov problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  Dynamics Seminar, Department of Mathematics, University of Maryland, USA
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Non-integrability of the spatial n-center and restricted n+1-body problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  Hamiltonian systems, from topology to applications through analysis II
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Non-integrability of the spatial n-center and restricted n+1-body problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  Hamiltonian systems, from topology to applications through analysis II
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 平面 Sitnikov 問題における周期解とヘテロクリニック軌道について2018
- Author(s)
  柴山允瑠
- Organizer
  RIMS 研究集会「力学系 -理論と応用の融合-」
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Variational construction of periodic and heteroclinic orbits in the planar Sitnikov problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  :The 12th AIMS Conference on Dynamical Systems
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] シンプレクティック写像の不動点のモース指数と安定性2018
- Author(s)
  柴山允瑠
- Organizer
  天体力学N体力学研究会
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Variational construction of periodic and heteroclinic orbits in the planar Sitnikov problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  The 12th AIMS Conference on Dynamical Systems
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] 平面Sitnikov問題における記号力学系と変分構造2018
- Author(s)
  柴山允瑠
- Organizer
  天体力学N体力学研究会
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Variational construction of periodic and heteroclinic orbits in the planar Sitnikov problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  HAMSYS 2018
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Variational construction of periodic and heteroclinic orbits in the planar Sitnikov problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  HAMSYS 2018
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Variational construction of periodic and connecting orbits in the planar Sitnikov problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  RIMS共同研究「力学系-理論と応用の融合-」
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] 平面Sitnikov問題における記号力学系と変分構造2018
- Author(s)
  柴山允瑠
- Organizer
  天体力学N体力学研究会
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Variational construction of periodic and heteroclinic orbits in the planar Sitnikov problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  BOSTON UNIVERSITY/KEIO UNIVERSITY WORKSHOP 2018- Dynamical Systems
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03366
[Presentation] Non-integrability of the spatial n-center and restricted n+1-body problem2018
- Author(s)
  Mitsuru Shibayama
- Organizer
  Hamiltonian systems, from topology to applications through analysis II
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] シンプレクティック写像の不動点のモース指数と安定性2018
- Author(s)
  柴山允瑠
- Organizer
  天体力学N体力学研究会
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Periodic solutions of a prescribed-energy problem for a singular Hamiltonian syste2017
- Author(s)
  M. Shibayama
- Organizer
  The 11th AIMS Conference
- Place of Presentation
  オーランド，米国
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287023
[Presentation] 制限n体問題の非可積分性2017
- Author(s)
  柴山允瑠
- Organizer
  応用数理学会年会応用力学系
- Data Source
  KAKENHI-PROJECT-26287023
[Presentation] Non-integrability of the restricted n-body problem,2017
- Author(s)
  Mitsuru Shibayama
- 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)
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] 制限n体問題の非可積分性2017
- Author(s)
  柴山允瑠
- Organizer
  応用数理学会年会応用力学系
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Non-integrability of the restricted n-body problem2017
- Author(s)
  Mitsuru Shibayama
- Organizer
  RIMS研究集会「界面運動，力学系に現れる漸近問題への粘性解的手法とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-16K05173
[Presentation] Non-integrability of the restricted n-body problem2017
- Author(s)
  Mitsuru SHIBAYAMA
- 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] Non-integrability of the restricted n-body problem2017
- Author(s)
  Mitsuru Shibayama
- 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] Non-integrability of the restricted n-body problem2017
- Author(s)
  Mitsuru Shibayama
- Organizer
  天体力学N体力学研究会
- Place of Presentation
  東京工業大学(東京都目黒区)
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Non-integrability of the restricted n-body problem2017
- Author(s)
  Mitsuru Shibayama
- Organizer
  RIMS研究集会「界面運動，力学系に現れる漸近問題への粘性解的手法とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Non-integrability of the restricted n-body problem2017
- Author(s)
  Mitsuru Shibayama
- Organizer
  天体力学N体力学研究会
- Place of Presentation
  東京工業大学（東京都・目黒区）
- Year and Date
  2017-03-23
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] 制限n体問題の非可積分性2017
- Author(s)
  柴山允瑠
- Organizer
  日本数学会秋季総合分科会応用数学分科会
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] ケプラー型ポテンシャル系のエネルギー固定問題における周期解の存在2017
- Author(s)
  柴山允瑠
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-26287023
[Presentation] 制限$n$体問題の非可積分性2017
- Author(s)
  柴山允瑠
- Organizer
  冬の力学系研究集会
- Place of Presentation
  日大軽井沢研修所(長野県軽井沢町)
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] 制限n体問題の非可積分性2017
- Author(s)
  柴山允瑠
- Organizer
  日本数学会秋季総合分科会応用数学分科会
- Data Source
  KAKENHI-PROJECT-26287023
[Presentation] ケプラー型ポテンシャル系のエネルギー固定問題における周期解の存在2017
- Author(s)
  柴山允瑠
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] n体問題の周期軌道の変分解析2016
- Author(s)
  柴山允瑠
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学 (茨城県・つくば市)
- Year and Date
  2016-03-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] A perturbed Kepler problem in which there are no periodic solutions2016
- Author(s)
  柴山允瑠
- Organizer
  天体力学N体力学研究会
- Place of Presentation
  豊橋技術科学大学サテライトオフィス(愛知県豊橋市)
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] A perturbed Kepler problem in which there are no periodic solutions,2016
- Author(s)
  柴山允瑠
- Organizer
  天体力学N体力学研究会
- Place of Presentation
  豊橋技術科学大学（愛知県・豊橋市）
- Year and Date
  2016-06-12
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Periodic solutions of a prescribed-energy problem for a singular Hamiltonian system2016
- Author(s)
  Mitsuru Shibayama
- Organizer
  The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Orlando (USA)
- Year and Date
  2016-07-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Periodic solutions of a prescribed-energy problem for a singular Hamiltonian system2016
- Author(s)
  Mitsuru SHIBAYAMA
- Organizer
  The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Hyatt Regency Orlando, Florida, USA
- Year and Date
  2016-07-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] n体問題の周期軌道の変分解析2016
- Author(s)
  柴山允瑠
- Organizer
  日本数学会2016年度年会函数方程式論分科会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] Periodic solutions of a prescribed-energy problem for a singular Hamiltonian system2016
- Author(s)
  Mitsuru Shibayama
- Organizer
  The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Hyatt Regency Orlando, Florida, USA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Singularity analysis of the restricted three-body problem2016
- Author(s)
  柴山允瑠
- Organizer
  天体力学N体力学研究会
- Place of Presentation
  豊橋技術科学大学サテライトオフィス(愛知県豊橋市)
- Year and Date
  2016-06-11
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] n体問題の周期軌道の変分解析2016
- Author(s)
  柴山允瑠
- Organizer
  日本数学会2016年度年会函数方程式分科会特別講演
- Place of Presentation
  筑波大学(茨城県，つくば市)
- Year and Date
  2016-03-16
- Invited
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] 特異点のブローアップと標準形理論の応用による第一積分の個数の評価2015
- Author(s)
  柴山允瑠
- Organizer
  天体力学N体力学研究会
- Place of Presentation
  SMBCイベントスペース-千葉
- Year and Date
  2015-12-25
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] Periodic solutions of a prescribed-energy problem for a singular Hamiltonian system2015
- Author(s)
  柴山允瑠
- Organizer
  RIMS研究集会「実領域における常微分方程式の定性的研究」
- Place of Presentation
  京都大学数理解析研究所(京都府，京都市)
- Year and Date
  2015-11-10
- Invited
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] 特異点のブローアップと標準形理論の応用による第一積分の個数の評価2015
- Author(s)
  柴山允瑠
- Organizer
  天体力学N体力学研究会
- Place of Presentation
  SMBCイベントスペース (千葉県・千葉市)
- Year and Date
  2015-12-25
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] 特異点をもつハミルトン系の周期解について2015
- Author(s)
  柴山允瑠
- Organizer
  南大阪応用数学セミナー
- Place of Presentation
  大阪市立大学(大阪府，大阪市)
- Year and Date
  2015-05-16
- Invited
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Periodic solutions of a prescribed-energy problem for a singular Hamiltonian system2015
- Author(s)
  柴山允瑠
- Organizer
  RIMS研究集会「実領域における常微分方程式の定性的研究」
- Place of Presentation
  京都大学数理解析研究所 (京都府・京都市)
- Year and Date
  2015-11-10
- Invited
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] 特異点をもつハミルトン系の周期軌道の変分解析2015
- Author(s)
  柴山允瑠
- Organizer
  ダイナミクス研究会中野
- Place of Presentation
  明治大学(東京都，中野区)
- Year and Date
  2015-11-11
- Invited
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] 特異点のブローアップと標準形理論の応用による第一積分の個数の評価2015
- Author(s)
  柴山允瑠
- Organizer
  天体力学$N$体力学研究会
- Place of Presentation
  SMBCイベントスペース-千葉(千葉県，千葉市)
- Year and Date
  2015-12-25
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Perturbation Theory in Celestical Mechanics2015
- Author(s)
  柴山允瑠
- Organizer
  Dynamical Systems in Mathematical Physics
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-02-24
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] 特異点のブローアップによるハミルトン系の可積分性の判定2014
- Author(s)
  柴山允瑠
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up technique of singularities2014
- Author(s)
  Mitsuru Shibayama
- Organizer
  the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  The Universidad Autonoma, Madrid, Spain
- Invited
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational proof of the existence of the super-eight orbit in the four-body problem2014
- Author(s)
  Mitsuru Shibayama
- Organizer
  the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  The Universidad Autonoma, Madrid, Spain
- Invited
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational proof of the existence of the super-eight orbit in the four-body problem2014
- Author(s)
  Mitsuru Shibayama
- Organizer
  The 10th AIMS Conference
- Place of Presentation
  Universidad Autónoma de Madrid, Spain
- Year and Date
  2014-07-09
- Invited
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Non-integrability criterion for homogeneous Hamiltonian systems via blowingup technique of singularities2014
- Author(s)
  Mitsuru Shibayama
- Organizer
  The 10th AIMS Conference
- Place of Presentation
  Universidad Autónoma de Madrid, Spain
- Year and Date
  2014-07-09
- Invited
- Data Source
  KAKENHI-PROJECT-26800059
[Presentation] Variational Proof of the Existence of the Super-Eight Orbit in the Four-Body Problem2013
- Author(s)
  M. Shibayama
- Organizer
  Taiwan-Japan Symposium on Celestial Mechanics and N-Body Dynamics, NCTS
- Place of Presentation
  Taiwan
- Year and Date
  2013-12-06
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational proof of the existence of the super-eight orbit in the four-body problem2013
- Author(s)
  Mitsuru Shibayama
- Organizer
  Taiwan-Japan Symposium on Celestial Mechanics and N-Body Dynamics
- Place of Presentation
  The national Tsing Hua University, Hsinchu city, Taiwan
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Variational proof of the existence of the super-eight orbit in the four-body problem2013
- Author(s)
  Mitsuru Shibayama
- 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] Variational proof of the existence of the super-eight orbit in the four-body problem2013
- Author(s)
  柴山允瑠
- Organizer
  KAM理論とその周辺
- Place of Presentation
  金沢大学サテライトプラザ
- Year and Date
  2013-06-19
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational proof of the existence of the super-eight orbit in the four-body problem2013
- Author(s)
  Mitsuru Shibayama
- Organizer
  The Sixth International Meeting on Celestial Mechanics
- Place of Presentation
  The Belletti Park Hotel San Martino al Cimino, Viterbo, Itary
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational proof of the existence of the super-eight orbit in the four-body problem2013
- Author(s)
  Mitsuru Shibayama
- Organizer
  The Asian Mathematical Conference 2013
- Place of Presentation
  BEXCO, Busan, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Non integrability criterion for homogeneous Hamiltonian systems via blowing up theory of singularities2013
- Author(s)
  M. Shibayama
- Organizer
  New Perspectives on the N body Problem
- Place of Presentation
  Banff International Research Station,Banff,Canada
- Year and Date
  2013-01-18
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] V ariational proof of the existence of the super-eight orbit in the four-body problem2013
- Author(s)
  M. Shibayama
- Organizer
  The Asian Mathematical Conference 2013
- Place of Presentation
  Busan, Korea
- Year and Date
  2013-07-01
- Invited
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] 変分法による軌道の探索2013
- Author(s)
  柴山允瑠
- Organizer
  第56回自動制御連合講演会
- Place of Presentation
  新潟大学五十嵐キャンパス
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] 変分法による軌道の探索2013
- Author(s)
  柴山允瑠
- Organizer
  第56回自動制御連合講演会
- Place of Presentation
  新潟大学
- Year and Date
  2013-11-16
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational proof of the existence of the super-eight orbit in the four-body problem2013
- Author(s)
  Mitsuru Shibayama
- Organizer
  The Sixth International Meeting on Celestial Mechanics
- Place of Presentation
  The Belletti Park Hotel San Martino al Cimino, Viterbo, Itary
- Data Source
  KAKENHI-PROJECT-25400168
[Presentation] Variational proof of the existence of the super-eight orbit in the four-body problem2013
- Author(s)
  M. Shibayama
- Organizer
  The Sixth International Meeting on Celestial Mechanics
- Place of Presentation
  Viterbo, Itary
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] On the super-eight orbit in the four-body problem2012
- Author(s)
  柴山允瑠
- Organizer
  2011年度冬の力学系研究集会
- Place of Presentation
  日本大学軽井沢研修所、長野県
- Year and Date
  2012-01-07
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] 天体の周期運動2012
- Author(s)
  柴山允瑠
- Organizer
  研究会「非線形現象の解明と制御」
- Place of Presentation
  大阪大学基礎工学研究科
- Year and Date
  2012-10-04
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] On the super-eight orbit in the four-body problem2012
- Author(s)
  柴山允瑠
- Organizer
  冬の力学系研究集会
- Place of Presentation
  日大軽井沢研修所
- Year and Date
  2012-01-07
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] 天体力学における周期解2012
- Author(s)
  柴山允瑠
- Organizer
  非線形テクノサイエンス講演会
- Place of Presentation
  大阪大学
- Year and Date
  2012-02-22
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up theory of singu- larities2012
- Author(s)
  M. Shibayama
- Organizer
  Workshop on Variational Methods in N-Body and Vortex Dynamics
- Place of Presentation
  University di Lence, Italy
- Data Source
  KAKENHI-PROJECT-21540124
[Presentation] 斉次ハミルトン系の特異点のブローアップと可積分性の判定2012
- Author(s)
  柴山允瑠
- Organizer
  RIMS研究集会「力学系の作る集団ダイナミクス保存系・散逸系の枠組みを越えて」
- Place of Presentation
  京都大学
- Year and Date
  2012-09-26
- Data Source
  KAKENHI-PROJECT-22540180
[Presentation] Minimax approach to the n-body problem2012
- Author(s)
  柴山允瑠
- Organizer
  微分方程式セミナー
- Place of Presentation
  大阪大学理学部数学教室
- Year and Date
  2012-10-19
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational approach to the n-body problem2011
- Author(s)
  柴山允瑠
- Organizer
  Emerging Topics on Differential Equations and their Applications---Sino-Japan Conference of Young Mathematicians
- Place of Presentation
  Nankai University, China(招待講演)
- Year and Date
  2011-12-06
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational approach to the n-body problem2011
- Author(s)
  M. Shibayama
- Organizer
  Emerging Topic on Differential Equations and Their Applications
- Place of Presentation
  Nankai University, China
- Data Source
  KAKENHI-PROJECT-21540124
[Presentation] 多体問題への変分法的アプローチ2011
- Author(s)
  柴山允瑠
- Organizer
  ハミルトン系研究会「関西保存会」
- Place of Presentation
  京都大学文学部、京都府
- Year and Date
  2011-10-15
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Non-integrability of the three-body problem via blowing-up of the collision singularity2011
- Author(s)
  M. Shibayama
- Organizer
  Workshop on Symplectic Geometry and Topology
- Place of Presentation
  Kyoto University
- Year and Date
  2011-02-18
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational approach to the n-body problem2011
- Author(s)
  M. Shibayama
- Organizer
  The 4th MSJ-SI Nonlinear Dynamics in Partial Differen- tial Equations
- Place of Presentation
  Kyushu University
- Data Source
  KAKENHI-PROJECT-21540124
[Presentation] Variational approach to the n-body problem2011
- Author(s)
  M. Shibayama
- Organizer
  Emerging topic on differential equations and their applications
- Place of Presentation
  Nankai University
- Year and Date
  2011-12-06
- Invited
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational approach to the n-body problem2011
- Author(s)
  M. Shibayama
- Organizer
  The 4th MSJ-SI conference on Nonlinear Dynamics in Partial Differential Equations
- Place of Presentation
  Kyushu University
- Year and Date
  2011-09-13
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] A variational proof of the existence of Gerver's super-eight orbit in the four-body problem2010
- Author(s)
  M. Shibayama
- Organizer
  UPC Inte- grability Seminar 2010
- Place of Presentation
  Universitat Politecnica de Catalunya, Spain
- Data Source
  KAKENHI-PROJECT-21540124
[Presentation] Heteroclinic connections between triple collisions and relative periodic orbits in the isosceles three-body problem, Differential Equations and Applications2010
- Author(s)
  M. Shibayama
- Organizer
  The 8th AIMS Conference on Dynamical Systems
- Place of Presentation
  Dresden University of Technology, Germany
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] 特異点のブローアップによるハミルトン系の可積分性の判定
- Author(s)
  柴山允瑠
- Organizer
  日本数学会2014年度年会無限可積分系分科会
- Place of Presentation
  学習院大学, 東京都豊島区
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up theory of singularities
- Author(s)
  Mitsuru Shibayama
- Organizer
  New Perspectives on the N-body Problem
- Place of Presentation
  BIRS, Banff, Canada
- Invited
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational proof of the existence of the super-eight orbit in the four-body problem
- Author(s)
  Mitsuru Shibayama
- Organizer
  The Asian Mathematical Conference 2013
- Place of Presentation
  BEXCO, Busan, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Variational Proof of the Existence of the Super-Eight Orbit in the Four-Body Problem
- Author(s)
  Mitsuru Shibayama
- Organizer
  Taiwan-Japan Symposium on Celestial Mechanics and N-Body Dynamics,
- Place of Presentation
  The national Hua University, Hsinchu city, Taiwan
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] 勾配法を用いた制限三体問題における Lambert 問題の数値解法
- Author(s)
  柴山允瑠
- Organizer
  天体力学 N 体力学研究会
- Place of Presentation
  千葉市美術館
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] 変分法による軌道の探索
- Author(s)
  柴山允瑠
- Organizer
  第56回自動制御連合講演会
- Place of Presentation
  新潟大学, 新潟県新潟市
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] 斉次ハミルトン系の特異点のブローアッフと可積分性の判定
- Author(s)
  柴山允瑠
- Organizer
  数理解析研究所共同研究集会『力学系の作る集団タイナミクス-保存系・散逸系の枠組みを越えて- 』
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up theory of sin- gularities
- Author(s)
  Mitsuru Shibayama
- Organizer
  Workshop on Variational methods in N-body and Vortex Dynamics
- Place of Presentation
  Dipartimento di Matematica e Fisica ”Ennio De Giorgi”, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-22740104
[Presentation] 特異点のブローアップによるハミルトン系の可積分性の判定
- Author(s)
  柴山允瑠
- Organizer
  日本数学会2014年度年会　無限可積分系特別セッション
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25400108
[Presentation] 斉次ハミルトン系の特異点のブローアップによる非可積分性の証明
- Author(s)
  柴山允瑠
- Organizer
  天体力学 N 体力学研究会
- Place of Presentation
  千葉市美術館
- Data Source
  KAKENHI-PROJECT-22740104

1. YAGASAKI Kazuyuki (40200472)

# of Collaborated Projects: 5 results

# of Collaborated Products: 2 results
2. ITO Hidekazu (90159905)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. Sakajo Takashi (10303603)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. FUJIWARA Hiroshi (00362583)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 松本剛 (20346076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 前川泰則 (70507954)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 多羅間大輔 (30722780)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 本永翔也 (80962381)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 金英子 (80378554)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 梶原唯加 (80981464)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. GOTODA Takeshi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 中嶋浩平

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Shibayama Mitsuru 柴山 允瑠

SHIBAYAMA Mitsuru 柴山 允瑠

Research Projects

Research Products

Co-Researchers

変分法と位相幾何学によるハミルトン系の新たな理論の構築と展開Principal Investigator

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Development of innovative theories on integrability of dynamical systems and their applications

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変分法による周期軌道の個数評価と分岐解析および複雑な軌道の存在証明Principal Investigator

Principal Investigator

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

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Understanding of turbulent phenomena through dissipative weak solutions to fluid equations

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Research on particular solutions and dynamics around them for Hamiltonian systemsPrincipal Investigator

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Perturbation problems for degenerate integrable systems and mathematics for resonance phenomena

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Investigation of Diverse Bifurcation Structures in Differential Dynamical Systems

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Normal forms for superintegrable systems at singular points and their perturbation problems

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Variational approach to the n-body problemPrincipal Investigator

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Bifurcations and Homo- and Heteroclinic Behavior in Infinite- Dimensional Dynamical Systems

Principal Investigator

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[Book] 重点解説 ハミルトン力学系 -- 可積分系とKAM理論を中心に --2016

Author(s)

Total Pages

Publisher

Data Source

[Book] ハミルトン力学系-可積分系とKAM理論を中心に-2016

Author(s)

Total Pages

Publisher

Shibayama Mitsuru 柴山允瑠

SHIBAYAMA Mitsuru 柴山允瑠

[Book] 重点解説　ハミルトン力学系　-- 可積分系とKAM理論を中心に --2016