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Miyaji Tomoyuki  宮路 智行

ORCIDConnect your ORCID iD *help
Researcher Number 20613342
Other IDs
Affiliation (Current) 2020: 京都大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help 2019 – 2020: 京都大学, 理学研究科, 准教授
2018: 明治大学, 研究・知財戦略機構, 284326
2018: 明治大学, 研究・知財戦略機構, 特任准教授
2015 – 2017: 明治大学, 研究・知財戦略機構, 特任講師
Review Section/Research Field
Principal Investigator
Foundations of mathematics/Applied mathematics / Basic Section 12040:Applied mathematics and statistics-related
Except Principal Investigator
Basic Section 12040:Applied mathematics and statistics-related / Basic analysis / Mathematical Sciences in Search of New Cooperation / Foundations of mathematics/Applied mathematics
Keywords
Principal Investigator
ビリヤード問題 / 自己駆動粒子 / 力学系 / 力学系の分岐 / 反応拡散系 / 進行スポット / 非線形・非平衡系 / 分岐 / 数値解析 / 縮約方程式 / 数理モデリング / 微分方程式 … More
Except Principal Investigator
… More 数理モデル / 非線形波動・分散型方程式 / 非圧縮性Navier-Stokes方程式 / 解の特異性と凝縮現象 / Keller-Segel方程式 / 解の時間大域挙動 / Gibbs測度 / Stokesドリフト / 大域挙動 / グローバル・アトラクター / 中心多様体 / 非線形散乱理論 / 有限時間爆発 / 非線形発展方程式 / Strichartz評価式 / 計算機支援証明法 / 精度保証付き数値計算 / 爆発解 / Orlicz-Morrey空間 / 初期値問題の適切性 / 解の正則性・特異性 / 表面量直重力波方程式(米国) / 等温Falkモデル / Zakharov方程式 / Keller-Segel方程式(ドイツ) / 不変測度 / 不安定基底状態 / 解の大域挙動 / ストークス・ドリフト / 重力-表面張力水面波 / Beal-Kato-Majda型爆発判定条件 / 減衰項付きKlein-Gordon方程式 / Morawetz評価式 / エネルギー減衰評価式 / Lugiato-Lefever方程式 / 定常解の分岐 / 指数安定性 / 一般化された分数べき積分作用素 / Morrey空間 / 多電子移動 / Tributsch-Pohlmannモデル / 自己組織的連鎖反応 / 移流拡散 / 連鎖反応理論 / 均質化法 / 自己組織化 / GL理論 / セル・オートマトン / 応用数学 / 統計的モデリング / 偏微分方程式 / 数値解析 / データ主体解析 / データ駆動解析 / データ解析 / パターン形成 / 安定性解析 / 分岐解析 / 数理シミュレーション / 数値シミュレーション / Turing不安定性 / 細胞極性モデル / 反応拡散方程式 / フロント波の伝播 / 細胞接着モデル / ウィルス感染モデル / 遅延座標系 / 代数幾何学 / 次元縮約 / 埋め込み理論 / データ駆動型解析 Less
  • Research Projects

    (7 results)
  • Research Products

    (25 results)
  • Co-Researchers

    (27 People)
  •  A mathematical study of dimensionality reduction and embedding by theories of delay-coordinate systems and algebraic geometryOngoing

    • Principal Investigator
      中野 直人
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Kyoto University
  •  A billiard problem arising from self-propelling particlesPrincipal InvestigatorOngoing

    • Principal Investigator
      宮路 智行
    • Project Period (FY)
      2019 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Kyoto University
  •  New modeling and mathematical analysis for pattern formations in life sciencesOngoing

    • Principal Investigator
      森田 善久
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Ryukoku University
  •  均質化法と連鎖反応理論による電気化学触媒反応の数理モデル構築Ongoing

    • Principal Investigator
      小川 知之
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical Sciences in Search of New Cooperation
    • Research Institution
      Meiji University
  •  Cross-cutting research of data- and model-driven methods by interlacing deductive and inductive cellular automata constructing method

    • Principal Investigator
      Nakano Naoto
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Kyoto University
      Hokkaido University
  •  A billiard problem in nonlinear and nonequilibrium systems: bifurcation with symmetry and degeneracyPrincipal Investigator

    • Principal Investigator
      Miyaji Tomoyuki
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Meiji University
  •  Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations

    • Principal Investigator
      Tsutsumi Yoshio
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University

All 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

  • [Journal Article] Human photoplethysmogram through the Morse graph: Searching for the saddle point in experimental data2019

    • Author(s)
      Miyaji Tomoyuki、Sviridova Nina、Aihara Kazuyuki、Zhao Tiejun、Nakano Akimasa
    • Journal Title

      Chaos: An Interdisciplinary Journal of Nonlinear Science

      Volume: 29 Pages: 043121-043121

    • DOI

      10.1063/1.5088989

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H01139, KAKENHI-PROJECT-16K13772, KAKENHI-PROJECT-17K14242
  • [Journal Article] Rippling rectangular waves for a modified Benney equation2018

    • Author(s)
      Miyaji Tomoyuki、Ogawa Toshiyuki、Sekisaka Ayuki
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 印刷中 Pages: 939-968

    • DOI

      10.1007/s13160-018-0304-1

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400214, KAKENHI-PROJECT-16KT0023, KAKENHI-PROJECT-17K05375, KAKENHI-PROJECT-16K17649
  • [Journal Article] 統計的にセル・オートマトンをモデルする:その実践と展開2018

    • Author(s)
      川原田茜,宮路智行,中野直人
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 印刷中

    • Open Access
    • Data Source
      KAKENHI-PROJECT-16K13772
  • [Journal Article] Arnold tongues in a billiard problem in nonlinear and nonequilibrium systems2017

    • Author(s)
      Tomoyuki Miyaji
    • Journal Title

      Physica D

      Volume: 340 Pages: 14-25

    • DOI

      10.1016/j.physd.2016.09.003

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Journal Article] 統計的にセル・オートマトンをモデルする:その目的と実践2017

    • Author(s)
      川原田茜,宮路智行,中野直人
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 印刷中

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-16K13772
  • [Journal Article] Analysis of a method for constructing a cellular automaton from a continuous system2016

    • Author(s)
      Akane Kawaharada, Tomoyuki MIyaji, Naoto Nakano
    • Journal Title

      International Journal of Networking and Computing

      Volume: 6 Pages: 230-242

    • NAID

      130005475334

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-16K13772
  • [Journal Article] A computer-assisted proof of existence of a periodic solution2014

    • Author(s)
      Tomoyuki Miyaji, Hisashi Okamoto
    • Journal Title

      Proceedings of the Japan Academy, Series A, Mathematical Sciences

      Volume: 90 Pages: 139-144

    • DOI

      10.3792/pjaa.90.139

    • NAID

      40020331464

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-12J05312, KAKENHI-PROJECT-23224003, KAKENHI-PROJECT-24244007, KAKENHI-PROJECT-25247014
  • [Presentation] 統計的にセル・オートマトンをモデルする:その展開と展望2018

    • Author(s)
      宮路智行
    • Organizer
      RIMS共同研究(グループ型) 「統計的モデリングと予測理論のための統合的数理研究の展開」
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K13772
  • [Presentation] 自発的に運動する樟脳円板のビリヤード的運動について2018

    • Author(s)
      宮路智行
    • Organizer
      第79 回岐阜数理科学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] Billiards in nonequilibrium systems2018

    • Author(s)
      Tomoyuki Miyaji
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2018
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] 非平衡ビリヤード問題2018

    • Author(s)
      宮路智行
    • Organizer
      2018年軽井沢グラフと解析研究集会
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] Mathematical Understanding of Kerr Frequency Combs From a Viewpoint of A Pattern-Formation Phenomenon2018

    • Author(s)
      Tomoyuki Miyaji
    • Organizer
      KEIO Symposium on Microresonator Frequency Comb
    • Invited
    • Data Source
      KAKENHI-PROJECT-16KT0023
  • [Presentation] Billiard-like motions of a self-propelling rigid disk2018

    • Author(s)
      宮路智行
    • Organizer
      京都大学数理解析研究所共同研究「反応拡散方程式伝播現象と特異性の解析および諸科学への応用」
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] 非平衡ビリヤード問題におけるアーノルドの舌2017

    • Author(s)
      宮路智行
    • Organizer
      摂南大学第4回数理セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] 統計的にセル・オートマトンをモデルする:その実践と展開2017

    • Author(s)
      宮路智行
    • Organizer
      統計的モデリングと予測理論のための統合的数理研究の展開
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K13772
  • [Presentation] A billiard problem arising in systems far from equilibrium2017

    • Author(s)
      宮路智行
    • Organizer
      富山大学理学部数学科2016 年 度第6 回談話会
    • Place of Presentation
      富山大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] A billiard problem in systems far from equilibrium2017

    • Author(s)
      Tomoyuki Miyaji
    • Organizer
      MIMS International Conference on "Reaction-diffusion system, theory and applications"
    • Place of Presentation
      Meiji University
    • Year and Date
      2017-03-17
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] Torus bifurcations to rippling rectangular waves2017

    • Author(s)
      T.Miyaji
    • Organizer
      The Taiwan-Japan Joint mini-workshop on Applied Mathematics
    • Place of Presentation
      Higashi Hiroshima Arts & Culture Hall KURARA
    • Year and Date
      2017-03-09
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16KT0023
  • [Presentation] Torus bifurcations to rippiling rectangular waves,2017

    • Author(s)
      Tomoyuki Miyaji
    • Organizer
      Torus bifurcations to rippiling rectangular waves, (Equadiff 2017,)
    • Data Source
      KAKENHI-PROJECT-16KT0023
  • [Presentation] さざ波立つ矩形波へのトーラス分岐2017

    • Author(s)
      宮路智行、小川知之、関坂歩幹
    • Organizer
      日本数学会2017年年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-27
    • Data Source
      KAKENHI-PROJECT-16KT0023
  • [Presentation] 統計的にセル・オートマトンをモデルする:その目的と実践2016

    • Author(s)
      宮路智行
    • Organizer
      RIMS 共同研究「統計的モデリングと予測理論のための統合的数理研究」
    • Place of Presentation
      京都大学(京都府・京都市)
    • Year and Date
      2016-08-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K13772
  • [Presentation] Bifurcations in a billiard problem under nonlinear and nonequilibrium conditions in a rectangular domain2016

    • Author(s)
      宮路智行
    • Organizer
      NSC Seminar in Sendai
    • Place of Presentation
      東北大学AIMR
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] Bifurcation analysis for a billiard problem in nonlinear and nonequilibrium systems2016

    • Author(s)
      Tomoyuki Miyaji
    • Organizer
      The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Hyatt Regency Orlando, Florida, USA
    • Year and Date
      2016-07-01
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] Resonance tongues appearing in a billiard problem under nonlinear and nonequilibrium conditions2016

    • Author(s)
      Tomoyuki Miyaji
    • Organizer
      International Conference Patten and Waves 2016
    • Place of Presentation
      Hokkaido University
    • Year and Date
      2016-08-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17649
  • [Presentation] Bifurcation analysis of the Lugiato-Lefever equation in one space dimension2015

    • Author(s)
      T. Miyaji
    • Organizer
      Workshop on Nonlinear Phenomena in Optics: Theory and Experiments
    • Place of Presentation
      ブザンソン(フランス)
    • Year and Date
      2015-11-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224003
  • 1.  Nakano Naoto (30612642)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 4 results
  • 2.  Tsutsumi Yoshio (10180027)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  Okamoto Hisashi (40143359)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 4.  Nakanishi Kenji (40322200)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  Sawano Yoshihiro (40532635)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  Kishimoto Nobu (90610072)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  Takaoka Hideo (10322794)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  Mizoguchi Noriko (00251570)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  Maeda Masaya (40615001)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  Kato Takamori (50620639)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  Sasaki Youhei (70583459)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  小川 知之 (80211811)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results
  • 13.  坂元 孝志 (30546891)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  中西 周次 (40333447)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  川原田 茜 (70710953)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 16.  森田 善久 (10192783)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  村川 秀樹 (40432116)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  李 聖林 (50620069)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  神保 秀一 (80201565)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  岩見 真吾 (90518119)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  SINCLAIR Robert (50423744)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  石塚 裕大 (50761136)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  OBAYASHI Ippei
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  HIROSE Sanpei
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  OKAMOTO Naoya
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 26.  金田 行雄
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 27.  スヴィリドヴァ ニーナ
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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