Arai Zin 荒井迅

… Alternative Names

ARAI Zin 荒井迅

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Researcher Number	80362432
Other IDs
External Links
Affiliation (Current)	2025: 東京科学大学, 情報理工学院, 教授
Affiliation (based on the past Project Information) *help	2024 – 2025: 東京科学大学, 情報理工学院, 教授 2022 – 2023: 東京工業大学, 情報理工学院, 教授 2017 – 2022: 中部大学, 創発学術院, 教授 2016: 北海道大学, 理学研究院, 准教授 2012 – 2016: 北海道大学, 理学(系)研究科(研究院), 准教授 … More 2015: 北海道大学, 理学研究科, 准教授 2015: 北海道大学, 理学系研究科, 准教授 2013: 北海道大学, 大学院理学研究院, 准教授 2011 – 2012: 北海道大学, 大学院・理学研究院, 准教授 2009: 北海道大学, 創成研究機構, 特認助教 2008: 北海道大学, 創成科学共同研究機構, 特任助教 2007: Kyoto University, 大学院・理学研究科, 助教 2006: 京都大学, 大学院理学研究科, 助手 2004 – 2005: Kyoto University, Department of Mathematics, Assistant Professor, 大学院・理学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic Section 12040:Applied mathematics and statistics-related / General mathematics (including Probability theory/Statistical mathematics) / Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related / Foundations of mathematics/Applied mathematics Except Principal Investigator Global analysis / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic analysis / Basic Section 12010:Basic analysis-related … More / Foundations of mathematics/Applied mathematics / Global analysis / Mathematical Sciences in Search of New Cooperation / Complex systems Less
Keywords	Principal Investigator 力学系 / アルゴリズム / 分岐 / 計算トポロジー / カオス / 計算機援用証明 / コンレイ指数 / モノドロミー / エノン写像 / 周期倍分岐 … More / 位相的データ解析 / グラフ理論 / 同変モース理論 / 反応経路網 / 数値解析・数理モデル / 数理モデル / 数値解析 / 幾何学 / 応用数学 / ホモクリニック分岐 / 反可積分極限 / 計算ホモロジー理論 … More Except Principal Investigator 力学系 / 分岐 / カオス / 複素力学系 / ジュリア集合 / 大域的構造 / 位相的方法 / 時系列 / トポロジー / 大自由度系 / Conley指数 / 位相計算 / ホモロジー / 可視化 / Julia 集合 / 複素ヘノン写像 / マンデルブロー集合 / Henon 写像 / ネットワーク / 計算機援用解析 / 不変集合 / フラクタル / エノン写像 / 双曲性 / 厳密計算 / 計算的方法 / 特異性 / 計算機援用証明 / グラフ・アルゴリズム / 計算機援用 / 大自由度 / 計算幾何学 / ルジャンドル変換 / カタストロフ理論 / 離散モース理論 / カットローカス / 情報幾何学 / 数理カタストロフ理論 / 特異点論 / Yoccozパズル / 繰り込み理論 / 双有理力学系 / Lipaの予想 / パラメータ空間 / モノドロミー / Lipa のモノドロミー予想 / 複素へノン写像 / ランダム / Polyvision / バーチャルリアリティ / ４次元空間 / ４次元可視化 / ４次元回転 / virtual reality / 高次元可視化 / バーチャル・リアリティ / 生命科学 / 気象学 / regulatory network / rigorous computation / unstable invariant set / data analysis / topology / morse decomposition / computational / topological / time series / dynamical systems / global attractor / 乱流データ / パーシステンス・ホモロジー / データ解析 / 制御ネットワーク系 / 全構造計算 / モース分解 / large degrees of freedom / complex dynamics / ergodic theory / hyperbolicity / chaos / bifurcation / global structure / dynamical system / 無限次元力学系 / 複雑系 / 摂動 / カオス遍歴 / 微分方程式 / 特異構造 / 不変測度 / エルゴード理論 / 数理物理 / 大気現象 / 画像解析 / 予測可能性 / 数理気象学 / 位相幾何学 / 数理科学 / 温帯低気圧 / ３次元可視化 / ４次元 / visualization / ヴァーチャルリアリティ / ヴァーチャル・リアリティ / 反復モノドロミー群 / ハバード木 / homotopy kernel / 変分原理 / ホースシュー領域 / Hubbard tree / 双曲的ホースシュー / モノドロミー作用 / 精度保証計算 / 反復写像系 / ホースシュー / ヘノン写像 / 分岐理論 / 全構造解析 / 精度保証付き計 / グラフアルゴリズム / Morse分解 / 位相計算的方法 / シグナル伝達 / 神経科学 / パターン形成 / 自己組織化 / 衝突現象 / 特異点 / 大域分岐 / 反応拡散系 / 余次元 / ヘテロ個体 / 自己相似性 / マンデルブロート集合 / タイビミュラー空間 / 構造安定性 / タイヒミュラー空間 / 分岐現象 / くりこみ / heteroclinic軌道 / 特異摂動的ベクトル場 / Conley指数理論 / ヘテロクリニック軌道 / trellis / 双極性 / 1次元写像 / fast-slow system / horseshoe map / 同期現象 / 結合系 / バウンダリ・クライシス / サドル・ノード分岐 / 位相的・計算的方法 / Database Schema / 位相計算理論 / 大域的 / 計算機支援証明 / 特異摂動 / 大域的分岐 / 精度保証付き計算 / 位相計算法 / 大域 Less

周期倍分岐理論の新展開：モノドロミーの観点からPrincipal Investigator
- Principal Investigator
  
  荒井迅
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
  Basic Section 12030:Basic mathematics-related
  Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
- Research Institution
  Institute of Science Tokyo
Construction of new phase-parameter space correspondence for complex dynamics in dimension two
- Principal Investigator
  
  石井豊
- Project Period (FY)
  2024 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kyushu University
New Generation Catastrophe Theory - An Attempt
- Principal Investigator
  
  大本亨
- Project Period (FY)
  2024 – 2025
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Waseda University
Toward an automated analysis of bifurcations of dynamical systemsPrincipal Investigator
- Principal Investigator
  
  荒井迅
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Institute of Science Tokyo
Development of a new method for data science via the fusion of dynamical systems and computational topologyPrincipal Investigator
- Principal Investigator
  
  荒井迅
- Project Period (FY)
  2019 – 2025
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Institute of Science Tokyo
  Chubu University
Visualization of 4D space by VR and complex dynamics
- Principal Investigator
  
  Ishii Yutaka
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Kyushu University
Towards new mathematical tools for understanding chemical reaction networksPrincipal Investigator
- Principal Investigator
  
  Arai Zin
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Chubu University
Dynamical Systems: New Developments in Theory and Application
- Principal Investigator
  
  Kokubu Hiroshi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Kyoto University
On the creation of chaos in higher dimensionsPrincipal Investigator
- Principal Investigator
  
  Arai Zin
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Tokyo Institute of Technology
  Chubu University
Applications of entropy compression algorithms to dynamical systems and fluid mechanicsPrincipal Investigator
- Principal Investigator
  
  ARAI Zin
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Chubu University
  Hokkaido University
Meteorological analysis and prediction on the low-dimensional space
- Principal Investigator
  
  Inatsu Masaru
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Hokkaido University
Dynamics of complex Henon maps: from dynamical space to parameter space
- Principal Investigator
  
  Ishii Yutaka
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
3D visualization of complex 2-dimensional dynamics
- Principal Investigator
  
  Ishii Yutaka
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Development and Application of Topological Computation Theory for Dynamical Systems
- Principal Investigator
  
  Kokubu Hiroshi
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kyoto University
The development of the topological and computational methods on dynamical systems
- Principal Investigator
  
  Oka Hiroe
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Ryukoku University
Toward a new approach to transient dynamicsPrincipal Investigator
- Principal Investigator
  
  ARAI Zin
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hokkaido University
Modeling and analysis of strong interactions among heterogenous localized patterns and its applications to biological problems
- Principal Investigator
  
  NISHIURA Yasumasa
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
- Review Section
  
  Complex systems
- Research Institution
  Tohoku University
  Hokkaido University
Study of Global Structures and Bifurcations of Dynamical Systems including Systems with Large Degrees of Freedom
- Principal Investigator
  
  KOKUBU Hiroshi
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
Analysis of the global structure of chaotic dynamical systems by topological and computational methods
- Principal Investigator
  
  OKA Hiroe (KOKUBU Hiroe)
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Ryukoku University
Complex analytic study of real and complex dynamical systems
- Principal Investigator
  
  SHISHIKURA Mitsuhiro
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
Study of Global Bifurcations of Dynamical Systems for Understandings of Chaos and Systems with Large Degrees of Freedom
- Principal Investigator
  
  KOKUBU Hiroshi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
Topological and computational methods for dynamical systems basedon the theory of Conley index
- Principal Investigator
  
  OKA Hiroe
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Ryukoku University
位相幾何学的手法と計算機を利用した力学系の解析Principal Investigator
- Principal Investigator
  
  荒井迅
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
Bifurcation theoretical approach to chaotic dynamics and to systems with large degrees of freedom
- Principal Investigator
  
  KOKUBU Hiroshi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  KYOTO UNIVERSITY

[Book] Capturing the global behavior of dynamical systems with Conley-Morse graphs2013
- Author(s)
  Zin Arai, Hiroshi Kokubu, and Ippei Obayashi
- Publisher
  Advances in Cognitive Neurodynamics (III)
- Data Source
  KAKENHI-PROJECT-21340035
[Journal Article] Macaque progressions: passing order during single-file movements reflects the social structure of a wild stump-tailed macaque group2023
- Author(s)
  Toyoda Aru、Maruhashi Tamaki、Malaivijitnond Suchinda、Matsudaira Kazunari、Arai Zin、Matsuda Ikki、Koda Hiroki
- Journal Title
  
  Primates
  
  Volume: 64 Issue: 3 Pages: 351-359
- DOI
  10.1007/s10329-023-01055-y
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13802, KAKENHI-PROJECT-19KK0191, KAKENHI-PROJECT-22KJ2975, KAKENHI-PROJECT-18H03671, KAKENHI-PLANNED-17H06380, KAKENHI-PROJECT-23K25168
[Journal Article] Visualization of the Dynamics Effect: Projection of on-the-Fly Trajectories to the Subspace Spanned by the Static Reaction Path Network2020
- Author(s)
  Tsutsumi Takuro, Ono Yuriko, Arai Zin, Taketsugu Tetsuya
- Journal Title
  
  Journal of Chemical Theory and Computation
  
  Volume: 16 Issue: 7 Pages: 4029-4037
- DOI
  10.1021/acs.jctc.0c00018
- NAID
  120007044513
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K18723, KAKENHI-PROJECT-18J20856, KAKENHI-PROJECT-18H03671, KAKENHI-PROJECT-18H01138
[Journal Article] Agent-based simulation for reconstructing social structure by observing collective movements with special reference to single-file movement2020
- Author(s)
  Koda Hiroki、Arai Zin、Matsuda Ikki
- Journal Title
  
  PLOS ONE
  
  Volume: 15 Issue: 12 Pages: e0243173-e0243173
- DOI
  10.1371/journal.pone.0243173
- NAID
  130008029216
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PLANNED-17H06380, KAKENHI-PROJECT-18H01138
[Journal Article] Boundary of the horseshoe locus for the Henon family2018
- Author(s)
  Z. Arai, Y. Ishii, H. Takahasi
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
  
  Volume: 17 Issue: 3 Pages: 2234-2248
- DOI
  10.1137/18m1174684
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16KT0021, KAKENHI-PROJECT-15H03627, KAKENHI-PROJECT-15H05435, KAKENHI-PROJECT-18H03671, KAKENHI-PROJECT-18H01138
[Journal Article] On parameter loci of the Henon family2018
- Author(s)
  Zin Arai and Yutaka Ishii
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 印刷中
- NAID
  120006940730
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04986
[Journal Article] On Parameter Loci of the Henon Family2018
- Author(s)
  Arai Zin、Ishii Yutaka
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 361 Issue: 2 Pages: 343-414
- DOI
  10.1007/s00220-018-3174-0
- NAID
  120006940730
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15H03627, KAKENHI-PROJECT-18H03671, KAKENHI-PROJECT-18H01138
[Journal Article] On parameter loci of the Henon family2018
- Author(s)
  Zin Arai and Yutaka Ishii
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 印刷中
- NAID
  120006940730
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25287020
[Journal Article] A visualization of the intrinsic reaction coordinate and global reaction route map by classical multidimensional scaling2018
- Author(s)
  Takuro Tsutsumi, Yuriko Ono, Zin Arai, Tetsuya Taketsugu
- Journal Title
  
  Journal of Chemical Theory and Computation
  
  Volume: 14 Issue: 8 Pages: 4263-4270
- DOI
  10.1021/acs.jctc.8b00176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K18723, KAKENHI-PROJECT-18J20856, KAKENHI-PROJECT-16KT0047, KAKENHI-PROJECT-18H03671
[Journal Article] On loops in the hyperbolic locus of the complex Henon map and their monodromies2016
- Author(s)
  Zin Arai
- Journal Title
  
  Physica D
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04986
[Journal Article] Decomposition and clustering for the visualization of dynamical systems2014
- Author(s)
  Zin Arai
- Journal Title
  
  Mathematical Progress in Expressive Image Synthesis I
  
  Volume: 4 Pages: 13-20
- DOI
  10.1007/978-4-431-55007-5_3
- ISBN
  9784431550068, 9784431550075
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684002
[Journal Article] A rigorous numerical algorithm for computing the linking number of links2013
- Author(s)
  Zin Arai
- Journal Title
  
  NOLTA
  
  Volume: 4 Issue: 1 Pages: 104-110
- DOI
  10.1587/nolta.4.104
- NAID
  130003375406
- ISSN
  2185-4106
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684002
[Journal Article] Graph-based topological approximation of saddle-node bifurcation in maps2013
- Author(s)
  Zin Arai
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B31 Pages: 225-241
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684002
[Journal Article] Capturing the Global Behavior of Dynamical Systems with Conley-Morse Graphs2013
- Author(s)
  Zin Arai, Hiroshi Kokubu, Ippei Obayashi
- Journal Title
  
  Advances in Cognitive Neurodynamics
  
  Volume: Vol.III Pages: 665-672
- DOI
  10.1007/978-94-007-4792-0_89
- ISBN
  9789400747913, 9789400747920
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-21120003
[Journal Article] Graph-based topological approximation of saddle-node bifurcation in maps2012
- Author(s)
  Zin Arai, Marcio Gameiro, Tomas Gedeon, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka
- Journal Title
  
  RIMS Kokyuroku Bessatsu B31
  
  Pages: 225-241
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340035
[Journal Article] Graph-based topological approximation of saddle-node bifurcation in maps2012
- Author(s)
  Z. Arai, M. Gameiro, T. Gedeon, H. Kokubu, H.Oka & K. Mischaikow
- Journal Title
  
  RIMS Kokyuroku Bessatsu B
  
  Volume: 31 Pages: 225-241
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540222
[Journal Article] Graph-based topological approximation of saddle-node bifurcatio n in maps2012
- Author(s)
  Z. Arai, M. Gameiro, T. Gedeon, H. Kokubu, K. Mis chaikow, H. Oka
- Journal Title
  
  RIMS Bessatsu
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540231
[Journal Article] Graph-based topological approximation of saddle-node bifurcation in maps2012
- Author(s)
  Zin Arai, Marcio Gameiro, Tomas Gedeon, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B31 Pages: 225-241
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340035
[Journal Article] Capturing the global behavior of dynamical systems with Conley-Morse graphs2012
- Author(s)
  Z.Arai, H.Kokubu, I.Obayashi
- Journal Title
  
  Advances in Cognitive Neurodynamics (III)
  
  Volume: (掲載確定)(未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340035
[Journal Article] Graph-based topological approximation of saddle-node bifurcation in maps2012
- Author(s)
  Z.Arai, M.Gameiro, T.Gedeon, H.Kokubu, K.Mischaikow, H.Oka
- Journal Title
  
  RIMS Bessatsu
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540231
[Journal Article] Mayer-Vietoris sequences and coverage problems in sensor networks2011
- Author(s)
  Zin Arai, Kazunori Hayashi and Yasuaki Hiraoka
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 28 Pages: 237-250
- NAID
  10029520688
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540231
[Journal Article] Mayer-Vietoris sequences and coverage problems in sensor networks2011
- Author(s)
  Zin Arai, Kazunori Hayasi, Yasuaki Hiraoka
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 28 Pages: 237-250
- NAID
  10029520688
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684002
[Journal Article] Recent development in rigorous computational methods in dynamical systems2009
- Author(s)
  Zin Arai, Hiroshi Kokubu, and Pawel Pilarczyk
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 26 Pages: 393-417
- NAID
  10028169214
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540231
[Journal Article] A database schema for the analysis of global dynamics of multiparameter systems.2009
- Author(s)
  Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk
- Journal Title
  
  SIAM J. Appl. Dyn. Syst. 8,no.3
  
  Pages: 757-789
- NAID
  120001629760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340048
[Journal Article] A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems2009
- Author(s)
  Z. Arai, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems (掲載確定)
- NAID
  120001629760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540206
[Journal Article] Recent development in rigorous computational methods in dynamical systems2009
- Author(s)
  Zin Arai, Hiroshi Kokubu, Pawel Pilarczyk
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics 26
  
  Pages: 393-417
- NAID
  10028169214
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340035
[Journal Article] A database schema for the analysis of global dynamics of multi-parameter systems2009
- Author(s)
  Zin Arai, William Kalies, Hiroshi Kokubu, Konstantin Mischaikow, H. Oka
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
  
  Volume: 8 Pages: 757-789
- NAID
  120001629760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540231
[Journal Article] A database schema for the analysis of global dynamics of multiparameter systems2009
- Author(s)
  Z.Arai, W.Kalies, H.Kokubu, K.Mischaikow, H.Oka, P.Pilarczyk
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems 8
  
  Pages: 757-789
- NAID
  120001629760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340035
[Journal Article] Recent development in rigorous computational methods in dynamical systems2009
- Author(s)
  Arai, Kokubu, Pilarczyk
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics 26
  
  Pages: 393-417
- NAID
  10028169214
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540231
[Journal Article] A database schema for the analysis of global dynamics of multiparameter systems2009
- Author(s)
  Zin Arai, William Kalies, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka, and Pawel Pilarczyk
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
  
  Volume: 8 Pages: 757-789
- NAID
  120001629760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340035
[Journal Article] A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems2009
- Author(s)
  Arai, Kalies, Kokubu, Mischaikow, Oka, Pilarczyk
- Journal Title
  
  SIAM J.APPLIED DYNAMICAL SYSTEMS c Vol.8, No.3
  
  Pages: 757-789
- NAID
  120001629760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540231
[Journal Article] A database schema for the analysis of global dynamics of multiparameter systems2009
- Author(s)
  Arai, Zin, et al.
- Journal Title
  
  SIAM J.Appl.Dyn.Syst. 8
  
  Pages: 757-789
- NAID
  120001629760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340048
[Journal Article] A database schema for the analysis of global dynamics of multiparameter systems2009
- Author(s)
  Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarozyk
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
- NAID
  120001629760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340045
[Journal Article] Recent development in rigorous computational methods in dynamical systems2009
- Author(s)
  Zin Arai, Hiroshi Kokubu, and Pawel Pilarczyk
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 26 Pages: 393-417
- NAID
  10028169214
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340035
[Journal Article] Recent development in rigorous computational methods in dynamical systems2009
- Author(s)
  Zin Arai, Hiroshi Kokubu, Pawel Pilarczyk
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
- NAID
  10028169214
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340045
[Journal Article] 計算ホモロジー理論の力学系への応用2008
- Author(s)
  荒井迅
- Journal Title
  
  応用数理 18(未定)
- NAID
  110006633785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740054
[Journal Article] On hyperbolic plateaus of the Henon map2007
- Author(s)
  Z.Arai
- Journal Title
  
  Experiment. Math 16, no.2
  
  Pages: 181-188
- Data Source
  KAKENHI-PROJECT-17340045
[Journal Article] On hyperbolic plateaus of the Henon map2007
- Author(s)
  Z.Arai
- Journal Title
  
  Experiment. Math. 16 no.2
  
  Pages: 181-188
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540206
[Journal Article] エノン写像の双曲型パラメータとそのモノドロミー2007
- Author(s)
  荒井迅
- Journal Title
  
  数理解析研究所講究録 1537
  
  Pages: 65-76
- Data Source
  KAKENHI-PROJECT-17740054
[Journal Article] On Hyperbolic Plateaus of the Henon Map2007
- Author(s)
  Z.Arai
- Journal Title
  
  Experimental Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-17540206
[Journal Article] On hyperbolic plateaus of the Henon map2007
- Author(s)
  Z. Arai
- Journal Title
  
  Experimental Mathematics 16
  
  Pages: 181-188
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340045
[Journal Article] On hyperbolic plateaus of the Henon map2007
- Author(s)
  Z. Arai
- Journal Title
  
  Experiment. Math. 16 (2007), no. 2, 181-188 16
  
  Pages: 181-188
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340048
[Journal Article] On Hyperbolic Plateaus of the Henon Map2007
- Author(s)
  Zin Arai
- Journal Title
  
  Experimetal Mathematics 16:2
  
  Pages: 181-188
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540206
[Journal Article] Rigorous computations of homoclinic tangencies2006
- Author(s)
  Z.Arai, K.Mischaikow
- Journal Title
  
  SIAM J. Appl. Dyn. Syst 5
  
  Pages: 280-292
- Data Source
  KAKENHI-PROJECT-17340045
[Journal Article] Rigorous computations of homoclinic tangencies2006
- Author(s)
  Z.Arai, K.Mischaikow
- Journal Title
  
  SIAM Journal of Applied Dynamical Systems 5
  
  Pages: 280-292
- Data Source
  KAKENHI-PROJECT-17340045
[Journal Article] Rigorous Computations of Homoclinic Tangencies2006
- Author(s)
  Konstantin Mischaikow, Z.Arai
- Journal Title
  
  STAM Journal on Applied Dynamical Systems 5
  
  Pages: 280-292
- Data Source
  KAKENHI-PROJECT-17540206
[Journal Article] Rigorous computationsof homoclinic tangencies2006
- Author(s)
  Z. Arai, K. Mischaikow
- Journal Title
  
  SIAM J. Appl. Dyn. Syst. 5
  
  Pages: 280-292
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540206
[Journal Article] 計算機支援による力学系の解析2005
- Author(s)
  荒井迅
- Journal Title
  
  Bulletin of the Japan Society for Industrial and Applied Mathematics 15巻2号
  
  Pages: 20-31
- Data Source
  KAKENHI-PROJECT-17740054
[Journal Article] Equivalence of graded module braids and interlocking sequences2003
- Author(s)
  Zin Arai
- Journal Title
  
  Journal of Mathematics of Kyoto University 43
  
  Pages: 441-449
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340055
[Journal Article] On Loops in the Hyperbolic Loci of the Complex Henon Maps
- Author(s)
  荒井迅
- Journal Title
  
  数理解析研究所講究録未定(掲載予定)(to appear)
- Data Source
  KAKENHI-PROJECT-17740054
[Journal Article] Capturing the global behavior of dynamical systems with Conley-Morse graphs, Advances in Cognitive Neurodynamics(III)
- Author(s)
  Z. Arai, H. Kokubu, I. Obayashi
- Journal Title
  
  Proceedings of The Third International Conference on Cognitive Neurodynamics
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540231
[Journal Article] Recent development in rigorous computational methods in dynamical systems.
- Author(s)
  Z.Arai, H.Kokubu, P.Pilarczyk
- Journal Title
  
  to appear in Japan J. Indust. Appl. Math.
- NAID
  10028169214
- Data Source
  KAKENHI-PROJECT-17340045
[Journal Article] Rigorous Computations of Homoclinic Tangencies
- Author(s)
  荒井迅
- Journal Title
  
  SIAM Journal of Applied Dynamical Systems 未定(to appear)
- Data Source
  KAKENHI-PROJECT-17740054
[Journal Article] A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems
- Author(s)
  Z. Arai, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems (掲載確定)
- NAID
  120001629760
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540206
[Journal Article] Capturing the global behavior of dynamical systems with Conley-Morse graphs
- Author(s)
  Z.Arai, H.Kokubu, I.Obayashi
- Journal Title
  
  Advances in Cognitive Neurodynamics (III), Proceedings of The Third International Conference on Cognitive Neurodynamics
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540231
[Journal Article] On Applications of Rigorous Computing to Dynamical Systems
- Author(s)
  荒井迅
- Journal Title
  
  数理解析研究所講究録未定(掲載予定)(to appear)
- Data Source
  KAKENHI-PROJECT-17740054
[Journal Article] On Hyperbolic Plateaus of the Henon Map
- Author(s)
  荒井迅
- Journal Title
  
  Experimental Mathematics (掲載决定)(未定)
- Data Source
  KAKENHI-PROJECT-17740054
[Presentation] 高次元マンデルブロ集合の位相幾何学的性質について2025
- Author(s)
  荒井迅
- Organizer
  京都大学大学院人間・環境学研究科数理・情報科学講座談話会
- Invited
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] 高次元（2次元）力学系と応用数理2024
- Author(s)
  荒井迅
- Organizer
  日本応用数理学会2024年度年会
- Invited
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] On the topology of the higher-dimensional Mandelbrot set2024
- Author(s)
  荒井迅
- Organizer
  トポロジーとコンピュータ2024
- Invited
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] Julia for Julia2024
- Author(s)
  Zin Arai
- Organizer
  Computational Methods in Dynamical Systems 2024
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] 高次元マンデルブロ集合の位相幾何学的性質について2024
- Author(s)
  荒井迅
- Organizer
  京都大学大学院人間・環境学研究科数理・情報科学講座談話会
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] On the topology of the higher-dimensional Mandelbrot set2024
- Author(s)
  荒井迅
- Organizer
  トポロジーとコンピュータ2024
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] Julia for Julia2024
- Author(s)
  Zin Arai
- Organizer
  Computational Methods in Dynamical Systems 2024
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] On the parameter space of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  Atelier franco-japonais de dynamiques reelles et complexes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] On the disconnectedness of the Julia set of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  Atelier franco-japonais sur Real and Complex Dynamics of Henon’s map
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18723
[Presentation] The Conley index and the topological dimension of hyperbolic Julia set2023
- Author(s)
  Zin Arai
- Organizer
  Dynamical Systems Seminar, Academia Sinica
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] An introduction to set-oriented computations for dynamics and their applications2023
- Author(s)
  Zin Arai
- Organizer
  Hokkaido Summer Institute at Research Center of Mathematics for Social Creativity
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] The Conley index and the topological dimension of hyperbolic Julia sets2023
- Author(s)
  Zin Arai
- Organizer
  Ergodic Theory, Dyamical Systems, and Climate Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18723
[Presentation] On the parameter space* of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  KiPAS Dynamics Days, Keio University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] The Conley index and the topological dimension of hyperbolic Julia set2023
- Author(s)
  Zin Arai
- Organizer
  Dynamical Systems Seminar, Academina Sinica
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] On the disconnectedness of the Julia set of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  Atelier franco-japonais sur Real and Complex Dynamics of Henon’s map
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] The Conley index and the topological dimension of hyperbolic Julia set2023
- Author(s)
  Zin Arai
- Organizer
  Academia Sinica Dynamical Systems Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] The Conley index and the topological dimension of hyperbolic Julia sets2023
- Author(s)
  Zin Arai
- Organizer
  Ergodic Theory, Dyamical Systems, and Climate Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] On the first bifurcation curve of the Henon map2023
- Author(s)
  荒井迅
- Organizer
  Dynamics Days Ookayama 2023
- Invited
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] On the connectedness and disconnectedness of the Julia set for the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  ICIAM2023
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  2023 NCTS Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] On the parameter space of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  Atelier franco-japonais de dynamiques reelles et complexes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  2023 NCTS Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] On the parameter space of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  Atelier franco-japonais de dynamiques reelles et complexes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] On the disconnectedness of the Julia set of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  Atelier franco-japonais sur Real and Complex Dynamics of Henon’s map
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] On the connectedness and disconnectedness of the Julia set for the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  ICIAM2023
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] The Conley index and the topological dimension of hyperbolic Julia set2023
- Author(s)
  Zin Arai
- Organizer
  Dynamical Systems Seminar, Academia Sinica
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  2023 NCTS Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] An introduction to set-oriented computations for dynamics and their applications2023
- Author(s)
  Zin Arai
- Organizer
  Hokkaido Summer Institute at Research Center of Mathematics for Social Creativity
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] An introduction to set-oriented computations for dynamics and their applications2023
- Author(s)
  Zin Arai
- Organizer
  Hokkaido Summer Institute at Research Center of Mathematics for Social Creativity
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] An introduction to set-oriented computations for dynamics and their applications2023
- Author(s)
  Zin Arai
- Organizer
  Hokkaido Summer Institute at Research Center of Mathematics for Social Creativity
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] On the first bifurcation curve of the Henon map2023
- Author(s)
  荒井迅
- Organizer
  Dynamics Days Ookayama 2023
- Invited
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] On the parameter space of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  KiPAS Dynamics Days
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] On the parameter space of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  KiPAS Dynamics Days
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K17657
[Presentation] The Conley index and the topological dimension of hyperbolic Julia sets2023
- Author(s)
  Zin Arai
- Organizer
  Ergodic Theory, Dynamical Systems, and Climate Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2023
- Author(s)
  Zin Arai
- Organizer
  2023 NCTS Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] On the disconnectedness of the Julia set of the Henon map2022
- Author(s)
  Zin Arai
- Organizer
  複素力学系と関連分野
- Data Source
  KAKENHI-PROJECT-18K18723
[Presentation] The Conley index and the topological dimension of hyperbolic Julia sets2022
- Author(s)
  Zin Arai
- Organizer
  力学系の理論と諸分野への応用
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2022
- Author(s)
  Zin Arai
- Organizer
  RIMS Symposium Recent Developments in Dynamical Systems and their Application
- Data Source
  KAKENHI-PROJECT-18K18723
[Presentation] On the disconnectedness of the Julia set of the Henon map2022
- Author(s)
  Zin Arai
- Organizer
  ランダム力学系・非自励力学系研究の展望：理論と応用
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] On the disconnectedness of the Julia set of the Henon map2022
- Author(s)
  Zin Arai
- Organizer
  ランダム力学系・非自励力学系研究の展望：理論と応用
- Invited
- Data Source
  KAKENHI-PROJECT-18K18723
[Presentation] On the disconnectedness of the Julia set for the Henon map2022
- Author(s)
  Zin Arai
- Organizer
  複素力学系と関連分野
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2021
- Author(s)
  Zin Arai
- Organizer
  RIMS Symposium: Recent Developments in Dynamical Systems and their Application
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2021
- Author(s)
  Zin Arai
- Organizer
  2020 年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2021
- Author(s)
  Zin Arai
- Organizer
  RIMS Symposium: Recent Developments in Dynamical Systems and their Application
- Data Source
  KAKENHI-PROJECT-18K18723
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2021
- Author(s)
  Zin Arai
- Organizer
  RIMS Symposium: Recent Developments in Dynamical Systems and their Application
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] Moduli of stability on the first bifurcation curve of the Henon map2021
- Author(s)
  Zin Arai
- Organizer
  RIMS Symposium Recent Developments in Dynamical Systems and their Application
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] Period doubling bifurcations from complex and algebraic point of view2020
- Author(s)
  Z. Arai
- Organizer
  Rutgers University Dynamical System Seminar
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] Period doubling bifurcations from complex and algebraic points of view2020
- Author(s)
  Zin Arai
- Organizer
  Rutgers University Dynamical Systems Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] Period doubling bifurcations from complex and algebraic points of view2020
- Author(s)
  Zin Arai
- Organizer
  Dynamical Systems Seminar, Rutgers University, USA
- Invited
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] On the monodromy and period doubling bifurcations of the He'non map2019
- Author(s)
  Zin Arai
- Organizer
  Real and Complex Dynamics of He'non's Map, 慶應大学, 2019年3月
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] Period doubling bifurcations from complex and algebraic point of view2019
- Author(s)
  Zin Arai
- Organizer
  Applied and Computational Math Seminar
- Data Source
  KAKENHI-PROJECT-19KK0068
[Presentation] On period doubling bifurcations2019
- Author(s)
  荒井迅
- Organizer
  第 9 回岐阜数理科学研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] 計算トポロジーと位相的データ解析2019
- Author(s)
  荒井迅
- Organizer
  東京工業大学情報理工学院寺子屋セミナー, 東京工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] On the gradient structure of chemical reactions2019
- Author(s)
  荒井迅
- Organizer
  RIMS 研究集会: 力学系–新たな理論と応用に向けて–
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] On period doubling bifurcations2019
- Author(s)
  荒井迅
- Organizer
  第9回岐阜数理科学研究会, 飛騨高山まちの博物館
- Invited
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] On the gradient structure of chemical reactions2019
- Author(s)
  荒井迅
- Organizer
  RIMS研究集会：力学系・新たな理論と応用に向けて
- Data Source
  KAKENHI-PROJECT-18K18723
[Presentation] On the gradient structure of chemical reactions2019
- Author(s)
  荒井迅
- Organizer
  力学系―新たな理論と応用に向けて―, 数理解析研究所
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] On period doublilng bifurcations2019
- Author(s)
  Zin Arai
- Organizer
  第9回岐阜数理科学研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] 力学系の大域的な分岐とその計算について2018
- Author(s)
  荒井迅
- Organizer
  岩手数理科学セミナー，岩手大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] The Conley index for the real and complex Henon maps2018
- Author(s)
  Zin Arai
- Organizer
  Algebraic Topology in Data and Dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] The Conley index for the real and complex He'non maps2018
- Author(s)
  Zin Arai
- Organizer
  International Conference on Algebraic Topology in Data and Dyamics, Montana State University, Bozeman, USA
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] 化学反応経路網の幾何学的理解に向けて2018
- Author(s)
  荒井迅
- Organizer
  日本応用数理学会2018年度年会
- Invited
- Data Source
  KAKENHI-PROJECT-18K18723
[Presentation] On the monodromy and period doubling bifurcations of the Henon map2018
- Author(s)
  Zin Arai
- Organizer
  Real and Complex Dynamics of Henon's Map
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] 化学反応経路網の幾何学的理解に向けて2018
- Author(s)
  荒井迅
- Organizer
  日本応用数理学会2018年度年会, 名古屋大学
- Data Source
  KAKENHI-PROJECT-18H03671
[Presentation] 力学系の大域的な分岐とその計算について2018
- Author(s)
  荒井迅
- Organizer
  岩手数理科学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01138
[Presentation] 複素からみた分岐理論2017
- Author(s)
  荒井迅
- Organizer
  Interaction between Pure and Applied Mathematics 2017
- Invited
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] The Conley index for real and complex dynamical systems2017
- Author(s)
  Zin Arai
- Organizer
  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・軽井沢市）
- Year and Date
  2017-01-10
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26310201
[Presentation] The Conley index for real and complex Henon maps2017
- Author(s)
  Zin Arai
- Organizer
  力学系ー理論と応用の連携探索
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] On computation of the monodromy of the Henon map and its applications2017
- Author(s)
  Zin Arai
- Organizer
  Foundations of Computational Mathematics 2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] The Conley index for real and complex dynamical systems2017
- Author(s)
  Zin Arai
- Organizer
  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・軽井沢市）
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] 複素から見た分岐理論2016
- Author(s)
  荒井迅
- Organizer
  芝浦数理談話会
- Place of Presentation
  芝浦工業大学（埼玉県・さいたま市）
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] On topological tools for network analysis2016
- Author(s)
  Zin Arai
- Organizer
  情報セキュリティにおける数学的方法とその実践
- Place of Presentation
  北海道大学（北海道・札幌市）
- Year and Date
  2016-12-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26310201
[Presentation] 複素エノン写像に対する計算機援用証明について2016
- Author(s)
  荒井迅
- Organizer
  力学系と計算
- Place of Presentation
  京都大学（京都府京都市）
- Year and Date
  2016-03-24
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] On topological tools for network analysis2016
- Author(s)
  Zin Arai
- Organizer
  情報セキュリティにおける数学的方法とその実践
- Place of Presentation
  北海道大学（北海道・札幌市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] An introduction to topological data analysis2016
- Author(s)
  Zin Arai
- Organizer
  4th international symposium on ALP
- Place of Presentation
  北海道大学（北海道・札幌市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] 複素から見た分岐理論2016
- Author(s)
  荒井迅
- Organizer
  芝浦数理談話会
- Place of Presentation
  芝浦工業大学（埼玉県・さいたま市）
- Year and Date
  2016-11-21
- Data Source
  KAKENHI-PROJECT-26310201
[Presentation] On rigorous verification of the crossed mapping condition2016
- Author(s)
  Zin Arai
- Organizer
  Computation in Dynamics
- Place of Presentation
  プロビデンス（アメリカ合衆国）
- Year and Date
  2016-04-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26310201
[Presentation] On rigorous verification of the crossed mapping condition2016
- Author(s)
  Zin Arai
- Organizer
  Computation in Dynamics
- Place of Presentation
  プロビデンス（アメリカ合衆国）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] Rigorous Verification of the crossed mapping condition for holomorphic dynamical systems2015
- Author(s)
  Zin Arai
- Organizer
  Theory and Practice of Real Computation
- Place of Presentation
  明治大学（東京都千代田区）
- Year and Date
  2015-07-12
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] On the monodromy and bifurcation of the Henon map2015
- Author(s)
  Zin Arai
- Organizer
  DynamIC Seminar
- Place of Presentation
  Imperial Collage London （イギリス）
- Year and Date
  2015-03-12
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] On combinatorial methods for dynamical systems and fluid mechanics2015
- Author(s)
  Zin Arai
- Organizer
  16th RIES-Hokudai International Symposium
- Place of Presentation
  ガトーキングダムサッポロ（北海道札幌市）
- Year and Date
  2015-11-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] 複素力学系のモノドロミー2015
- Author(s)
  荒井迅
- Organizer
  解析学の耳袋
- Place of Presentation
  プラザヴェルデ（静岡県沼津市）
- Year and Date
  2015-10-28
- Invited
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] On parameter loci of the Henon map2015
- Author(s)
  Zin Arai
- Organizer
  ACCA-UK/JP Workshop
- Place of Presentation
  Imperial Collage London （イギリス）
- Year and Date
  2015-03-13
- Invited
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] On parameter loci of the Henon family2015
- Author(s)
  Zin Arai
- Organizer
  ACCA-UK/JP Workshop
- Place of Presentation
  Imperial College London, London（英国）
- Year and Date
  2015-03-13
- Data Source
  KAKENHI-PROJECT-26310201
[Presentation] 力学系的・組合せ的な手法による流れの分解について2015
- Author(s)
  荒井迅
- Organizer
  流体力学系年会
- Place of Presentation
  東京工業大学（東京都目黒区）
- Year and Date
  2015-09-26
- Data Source
  KAKENHI-PROJECT-15K04986
[Presentation] Graph Theoretical Algorithms for Dynamical Systems2014
- Author(s)
  Zin Arai
- Organizer
  Lagrangian Coherent Structures and Dynamical Systems
- Place of Presentation
  北海道大学，札幌市
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] On combinatorial and topological clustering of dynamical behaviors in fluid flows2014
- Author(s)
  Zin Arai
- Organizer
  流体方程式の構造と特異性に迫る数値解析・数値計算
- Place of Presentation
  名古屋大学（愛知県名古屋市）
- Year and Date
  2014-12-08
- Data Source
  KAKENHI-PROJECT-26310201
[Presentation] On Some Practical Computational Problems in Dynamical Systems2014
- Author(s)
  Zin Arai
- Organizer
  Dynamics and Computation
- Place of Presentation
  京都大学，京都市
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] Computational and dynamical complexities of the graph representation of dynamical systems2013
- Author(s)
  Zin Arai
- Organizer
  2013 International Symposium on Nonlinear Theory and its Applications
- Place of Presentation
  Santa Fe Community Convention Center，アメリカ合衆国
- Invited
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] Decomposition and clustering for the visualization of dynamical systems2013
- Author(s)
  Zin Arai
- Organizer
  Mathematical Progress in Expressive Synthesis 2013
- Place of Presentation
  九州大学，福岡市
- Invited
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] Wieferich Primes and the Monodromy of the Henon Map2013
- Author(s)
  荒井迅
- Organizer
  2012年度冬の力学系研究集会
- Place of Presentation
  日本大学軽井沢研修所（軽井沢町）
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] On the monodromy and bifurcations of the Henon Map2013
- Author(s)
  Zin Arai
- Organizer
  6th Pacific RIM Conference on Mathematics
- Place of Presentation
  札幌コンベンションセンター，北海道
- Invited
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] 計算トポロジーとその応用について2012
- Author(s)
  荒井迅
- Organizer
  日本応用数理学会2012年度年会
- Place of Presentation
  稚内全日空ホテル（稚内市）
- Invited
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] 力学系・流体力学における計算トポロジー的手法について2012
- Author(s)
  荒井迅
- Organizer
  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
  京都大学数理解析研究所（京都市）
- Invited
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] Monodromy and pruning front of the Henon map2011
- Author(s)
  荒井迅
- Organizer
  力学系とトポロジーのフロンティア
- Place of Presentation
  数理解析研究所(京都市)
- Year and Date
  2011-11-24
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] On compressed computation for dyanmical systems2011
- Author(s)
  荒井迅
- Organizer
  ICIAM 2011
- Place of Presentation
  Vancouver Convention Center(カナダ)
- Year and Date
  2011-07-18
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] 力学系における特異点と次元2011
- Author(s)
  荒井迅
- Organizer
  数理連携研究集会「10の根本問題」
- Place of Presentation
  東京大学(東京都)(招待講演)
- Year and Date
  2011-12-26
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] 周期倍分岐ふたたび2011
- Author(s)
  荒井迅
- Organizer
  応用数学合同研究集会
- Place of Presentation
  龍谷大学(大津市)(招待講演)
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] 精度保証付き数値計算とその応用について2011
- Author(s)
  荒井迅
- Organizer
  マクロ経済動学の非線形数理
- Place of Presentation
  数理解析研究所(京都市)(招待講演)
- Year and Date
  2011-08-29
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] Monodromy computation and its application to bifurcation analysis, School and Conference on Computational Methods in Dynamics2011
- Author(s)
  荒井迅
- Organizer
  School and Conference on Computational Methods in Dynamics
- Place of Presentation
  International Center for Theoretical Physics(イタリア)
- Year and Date
  2011-07-04
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] Topological and algebraic aspects of the monodromy and bifurcations of complex dynamical systems2011
- Author(s)
  荒井迅
- Organizer
  応用トポロジー:情報通信・生命科学との連携を目指して
- Place of Presentation
  九州大学(福岡市)(招待講演)
- Year and Date
  2011-08-31
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] A hyperbolicity verification algorithm and its application to the real Henon map2008
- Author(s)
  荒井迅
- Organizer
  Computer Assisted Nonlinear Dynamics (Candy08)
- Place of Presentation
  Imperial College, London
- Year and Date
  2008-03-17
- Data Source
  KAKENHI-PROJECT-17740054
[Presentation] On rigorous verification of stability and bifurcation of dynamical systems2008
- Author(s)
  荒井迅
- Organizer
  2008 International Workshop on Numerical Verifications and its Applications
- Place of Presentation
  東京第一ホテルオキナワグランメールリゾート
- Year and Date
  2008-03-01
- Data Source
  KAKENHI-PROJECT-17740054
[Presentation] Hyperbolicity and monodromy of real and complex Henon maps2007
- Author(s)
  荒井迅
- Organizer
  International Conference on Topology and its Applications 2007
- Place of Presentation
  京都大学
- Year and Date
  2007-12-07
- Data Source
  KAKENHI-PROJECT-17740054
[Presentation] Rigorous verification of the first bifurcation problem of the Henon map
- Author(s)
  Zin Arai
- Organizer
  The 10th AIMS Conference on Dynamical Systems
- Place of Presentation
  Instituto de Ciencias Matematicas （スペイン）
- Year and Date
  2014-07-07 – 2014-07-11
- Invited
- Data Source
  KAKENHI-PROJECT-23684002
[Presentation] Monodromy and bifurcations of the Henon map
- Author(s)
  Zin Arai
- Organizer
  力学系：理論と応用の相互作用
- Place of Presentation
  京都大学数理解析研究所（京都市）
- Year and Date
  2014-06-09 – 2014-06-13
- Data Source
  KAKENHI-PROJECT-23684002

1. KOKUBU Hiroshi (50202057)

# of Collaborated Projects: 11 results

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2. ISHII Yutaka (20304727)

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Arai Zin 荒井 迅

ARAI Zin 荒井 迅

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周期倍分岐理論の新展開：モノドロミーの観点からPrincipal Investigator

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Toward an automated analysis of bifurcations of dynamical systemsPrincipal Investigator

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Development of a new method for data science via the fusion of dynamical systems and computational topologyPrincipal Investigator

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Towards new mathematical tools for understanding chemical reaction networksPrincipal Investigator

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On the creation of chaos in higher dimensionsPrincipal Investigator

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Applications of entropy compression algorithms to dynamical systems and fluid mechanicsPrincipal Investigator

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Arai Zin 荒井迅

ARAI Zin 荒井迅