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Dynamical Systems: New Developments in Theory and Application

Research Project

Project/Area Number 18H03671
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Review Section Medium-sized Section 12:Analysis, applied mathematics, and related fields
Research InstitutionKyoto University

Principal Investigator

Kokubu Hiroshi  京都大学, 理学研究科, 教授 (50202057)

Co-Investigator(Kenkyū-buntansha) 角 大輝  京都大学, 人間・環境学研究科, 教授 (40313324)
荒井 迅  東京工業大学, 情報理工学院, 教授 (80362432)
Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥43,810,000 (Direct Cost: ¥33,700,000、Indirect Cost: ¥10,110,000)
Fiscal Year 2022: ¥8,970,000 (Direct Cost: ¥6,900,000、Indirect Cost: ¥2,070,000)
Fiscal Year 2021: ¥8,710,000 (Direct Cost: ¥6,700,000、Indirect Cost: ¥2,010,000)
Fiscal Year 2020: ¥8,320,000 (Direct Cost: ¥6,400,000、Indirect Cost: ¥1,920,000)
Fiscal Year 2019: ¥7,930,000 (Direct Cost: ¥6,100,000、Indirect Cost: ¥1,830,000)
Fiscal Year 2018: ¥9,880,000 (Direct Cost: ¥7,600,000、Indirect Cost: ¥2,280,000)
Keywords力学系 / 分岐 / 大域的構造 / ランダム / 時系列
Outline of Final Research Achievements

In this project, we picked up the four classes of dynamical systems that attract keen interests in the new movement of research on dynamics in various fields. These classes are: (LDF) Systems with large degree of freedom, (RSV) Random and set-valued dynamical systems, (HPS) Hybrid and piecewise smooth systems, and (DTD) Dynamical time-series and data. For these classes of dynamical systems, we have been developing mathematical theories that describe their structures of dynamics and bifurcations (changes when parameters are varied), and confirming their usefulness by testing them in various problems arising in different fields of science and engineering.

Academic Significance and Societal Importance of the Research Achievements

本研究で取り上げた4つの力学系のクラスは,それぞれ単独では国内外の研究者により活発に研究されているが,それを統合的に扱おうとする研究は見られず,本研究はまずその点において学術的な意義があると考えている.実際に,これらの力学系クラスを統合的に研究することで,複数のクラスの間に新しい関係が見出され,一方の視点や方法が他方の研究に活かされるような相互作用が生まれつつあることは,今後の研究の進展に大いに貢献するものと期待している.また,これらの新しい力学系クラスは諸分野での応用現場で生まれたものが多く,本研究の成果はそれらの分野の研究の進展にもつながると期待されるので,その点に重要な社会的意義がある.

Report

(6 results)
  • 2023 Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • Research Products

    (87 results)

All 2024 2023 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (2 results) Journal Article (22 results) (of which Int'l Joint Research: 8 results,  Peer Reviewed: 22 results,  Open Access: 10 results) Presentation (60 results) (of which Int'l Joint Research: 36 results,  Invited: 44 results) Funded Workshop (3 results)

  • [Int'l Joint Research] Rutgers University/Montana State University(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Imperial College London(英国)

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis2023

    • Author(s)
      Hou Lingling、Kokubu Hiroshi、Marciniak-Czochra Anna、Takagi Izumi
    • Journal Title

      Journal of Differential Equations

      Volume: 364 Pages: 667-713

    • DOI

      10.1016/j.jde.2023.04.032

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sharp changes in fractal basin of attraction in passive dynamic walking2023

    • Author(s)
      Okamoto Kota、Akashi Nozomi、Obayashi Ippei、Nakajima Kohei、Kokubu Hiroshi、Senda Kei、Tsuchiya Kazuo、Aoi Shinya
    • Journal Title

      Nonlinear Dynamics

      Volume: 111 Issue: 23 Pages: 21941-21955

    • DOI

      10.1007/s11071-023-08913-w

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [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

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Learning dynamics by reservoir computing2022

    • Author(s)
      Masato Hara, Hiroshi Kokubu
    • Journal Title

      JDDE

      Volume: - Issue: S1 Pages: 515-540

    • DOI

      10.1007/s10884-022-10159-w

    • Related Report
      2022 Annual Research Report 2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Contribution of Phase Resetting to Statistical Persistence in Stride Intervals: A Modeling Study2022

    • Author(s)
      Kota Okamoto, Ippei Obayashi, Hiroshi Kokubu, Kei Senda, Kazuo Tsuchiya, Shinya Aoi
    • Journal Title

      Frontiers in Neural Circuits

      Volume: 16 Pages: 836121-836121

    • DOI

      10.3389/fncir.2022.836121

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy2022

    • Author(s)
      Hiroki Sumi and Takayuki Watanabe
    • Journal Title

      Nonlinearity

      Volume: 35 Issue: 4 Pages: 1857-1875

    • DOI

      10.1088/1361-6544/ac4a89

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Equilibria and their stability in networks with steep sigmoidal nonlinearities2021

    • Author(s)
      William Duncan, Tomas Gedeon, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka,
    • Journal Title

      SIAM J. Applied Dynamical Systems

      Volume: 20 Issue: 4 Pages: 2108-2141

    • DOI

      10.1137/21m1398331

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report 2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Negativity of Lyapunov Exponents and Convergence of Generic Random Polynomial Dynamical Systems and Random Relaxed Newton’s Methods2021

    • Author(s)
      Hiroki Sumi
    • Journal Title

      Communications in Mathematical Physics

      Volume: 384 Issue: 3 Pages: 1513-1583

    • DOI

      10.1007/s00220-021-04070-6

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uniformly perfect and hereditarily non uniformly perfect analytic and conformal non-autonomous attractor sets2021

    • Author(s)
      Mark Comerford、Kurt Falk、Rich Stankewitz、Hiroki Sumi
    • Journal Title

      Dynamical Systems

      Volume: 36 Issue: 4 Pages: 631-655

    • DOI

      10.1080/14689367.2021.1975262

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Fractal mechanism of basin of attraction in passive dynamic walking2020

    • Author(s)
      Okamoto Kota、Aoi Shinya、Obayashi Ippei、Kokubu Hiroshi、Senda Kei、Tsuchiya Kazuo
    • Journal Title

      Bioinspiration & Biomimetics

      Volume: 15 Issue: 5 Pages: 055002-055002

    • DOI

      10.1088/1748-3190/ab9283

    • NAID

      120006888011

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [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

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hereditarily non uniformly perfect non-autonomous Julia sets2020

    • Author(s)
      Comerford Mark、Stankewitz Rich、Sumi Hiroki
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 40 Issue: 1 Pages: 33-46

    • DOI

      10.3934/dcds.2020002

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions2020

    • Author(s)
      Inui Kanji、Okada Hikaru、Sumi Hiroki
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 40 Issue: 2 Pages: 753-766

    • DOI

      10.3934/dcds.2020060

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions2020

    • Author(s)
      Inui Kanji、Sumi Hiroki
    • Journal Title

      Journal of Difference Equations and Applications

      Volume: 26 Issue: 1 Pages: 104-121

    • DOI

      10.1080/10236198.2019.1709063

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Explicit transversality conditions and local bifurcation diagrams for Bogdanov-Takens bifurcation on center manifolds2019

    • Author(s)
      Yang Li, Hiroshi Kokubu, and Kazuyuki Aihara
    • Journal Title

      Physica D

      Volume: 391 Pages: 52-65

    • DOI

      10.1016/j.physd.2018.11.005

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The onset of transient turbulence in minimal plane Couette ow2019

    • Author(s)
      Julius Rhoan Lustro, Genta Kawahara, Lennaert van Veen, Masaki Shimizu, Hiroshi Kokubu
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 862 Pages: 1-15

    • DOI

      10.1017/jfm.2018.971

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Topological computation analysis of meteorological time-series data.2019

    • Author(s)
      Morita, H., M. Inatsu, and H. Kokubu
    • Journal Title

      Journal of Society for Industrial and Applied Mathematics

      Volume: 18 Issue: 2 Pages: 1200-1212

    • DOI

      10.1137/18m1184746

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity2019

    • Author(s)
      Sumi Hiroki、Watanabe Takayuki
    • Journal Title

      Nonlinearity

      Volume: 32 Issue: 10 Pages: 3742-3771

    • DOI

      10.1088/1361-6544/ab231e

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hereditarily non-uniformly perfect sets2019

    • Author(s)
      R. Stankewitz, T. Sugawa and H. Sumi
    • Journal Title

      Discrete and Continuous Dynamical Systems Ser. S.

      Volume: 12 Issue: 8 Pages: 2391-2402

    • DOI

      10.3934/dcdss.2019150

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [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

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Presentation] Some thoughts about reservoir computing for learning dynamics2024

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      Tateyama Dynamics Workshop 2024
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Reservoir computing for dynamics2023

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      KiPAS Dynamics Days, Keio University
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 力学系のリザバー計算2023

    • Author(s)
      國府寛司
    • Organizer
      2023年度 武蔵野大学 数理工学シンポジウム
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Learning dynamics by reservoir computing2023

    • Author(s)
      國府寛司
    • Organizer
      微分方程式とデータサイエンス研究会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Random Dynamical Systems of Polynomial Automorphisms on \Bbb{C}^{2}2023

    • Author(s)
      Hiroki Sumi
    • Organizer
      The 10th Visegrad Conference on Dynamical Systems
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Random Dynamical Systems of Polynomial Automorphisms on \Bbb{C}^{2}2023

    • Author(s)
      Hiroki Sumi
    • Organizer
      RIMS 共同研究「Around the Mandelbrot set」
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Random Dynamical Systems of Polynomial Automorphisms on \Bbb{C}^{2}2023

    • Author(s)
      Hiroki Sumi
    • Organizer
      RIMS 総合研究セミナー「Mathematics of Random Systems: Summer School 2023」
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The Conley index and the topological dimension of hyperbolic Julia set2023

    • Author(s)
      Zin Arai
    • Organizer
      Academia Sinica Dynamical Systems Seminar
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Moduli of stability on the first bifurcation curve of the Henon map2023

    • Author(s)
      Zin Arai
    • Organizer
      2023 NCTS Workshop on Dynamical Systems
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [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
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the parameter space* of the Henon map2023

    • Author(s)
      Zin Arai
    • Organizer
      KiPAS Dynamics Days, Keio University
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the parameter space of the Henon map2023

    • Author(s)
      Zin Arai
    • Organizer
      Atelier franco-japonais de dynamiques reelles et complexes
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [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
    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The Conley index and the topological dimension of hyperbolic Julia sets2023

    • Author(s)
      Zin Arai
    • Organizer
      Ergodic Theory, Dyamical Systems, and Climate Sciences
    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two new ideas for dynamical time-series analysis2022

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      AIHARA MS Symposium (オンライン開催)
    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 力学系に関する最近のいくつかの動向:応用研究の視点から2022

    • Author(s)
      國府寛司
    • Organizer
      西浦廉政先生古希記念研究会 ー21世紀応用数学の現在と未来ー
    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Invited
  • [Presentation] Random Dynamical Systems of Regular Polynomial Maps on $\Bbb{C}^{2}$2022

    • Author(s)
      Hiroki Sumi
    • Organizer
      Dynamical systems and systems of equations
    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Random Dynamical Systems of Regular Polynomial Maps on $\Bbb{C}^{2}$2022

    • Author(s)
      Hiroki Sumi
    • Organizer
      he 7th International Conference on Random Dynamical Systems
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Random Dynamical Systems of Regular Polynomial Maps on $\Bbb{C}^{2}$2022

    • Author(s)
      Hiroki Sumi
    • Organizer
      The 7th International Conference on Random Dynamical Systems
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Learning dynamics by Reservoir Computing: The case of the logistic maps2021

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      Machine Learning and Dynamical Systems
    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [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
    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Random Dynamical Systems of Regular Polynomial Maps on $\Bbb{C}^{2}$2021

    • Author(s)
      Hiroki Sumi
    • Organizer
      Dynamics of (Semi-)Group Actions
    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Learning dynamics of the logistic maps by Reservoir Computing2021

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      International Conference: Differential Equations for Data Science 2021
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 力学系のリザバー計算2021

    • Author(s)
      國府寛司
    • Organizer
      東京理科大学 第2回数理・AIセミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 力学系のリザバー計算:ロジスティック写像の場合2021

    • Author(s)
      國府寛司
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 力学系のリザバー計算:ある数学的枠組み2021

    • Author(s)
      國府寛司
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Period doubling bifurcations from complex and algebraic point of view2020

    • Author(s)
      Z. Arai
    • Organizer
      Rutgers University Dynamical System Seminar
    • Related Report
      2019 Annual Research Report
  • [Presentation] Non-uniformly perfect Julia sets of non-autonomous dynamics of unbounded sequences of polynomials2020

    • Author(s)
      角大輝
    • Organizer
      2019年度冬の力学系研究集会(2020年1月10日-13日)、日本大学軽井沢研修所
    • Related Report
      2018 Annual Research Report
  • [Presentation] Period doubling bifurcations from complex and algebraic points of view2020

    • Author(s)
      Zin Arai
    • Organizer
      Dynamical Systems Seminar, Rutgers University, USA
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Morse decomposition of dynamics from time-series data2019

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      Workshop on Data Analysis and Machine Learning in Dynamical Systems
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      Thermodynamic Formalism – Applications to Geometry, Number Theory, and Stochastics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      The 2019 Fall Program of Low-Dimensional Dynamics, Shanghai Center for Mathematical Sciences
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      角大輝
    • Organizer
      数理解析研究所研究集会「ランダム力学系理論とフラクタル幾何学の研究」
    • Related Report
      2019 Annual Research Report
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      角大輝
    • Organizer
      第9回岐阜数理科学研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      角大輝
    • Organizer
      研究集会「エルゴード理論とその周辺」
    • Related Report
      2019 Annual Research Report
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      角大輝
    • Organizer
      数理解析研究所研究集会「複素力学系の分岐と安定性の研究」
    • Related Report
      2019 Annual Research Report
    • Invited
  • [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–
    • Related Report
      2019 Annual Research Report
  • [Presentation] On period doubling bifurcations2019

    • Author(s)
      荒井迅
    • Organizer
      第 9 回岐阜数理科学研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      Workshop on Random Dynamical Systems and Anomalous Dynamics, Imperial College London, ロンドン、イギリス
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      角大輝
    • Organizer
      2018年度冬の力学系研究集会、 日本大学軽井沢研修所
    • Related Report
      2018 Annual Research Report
  • [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
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Morse decomposition of dynamics from time-series data,2019

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      Workshop on Data Analysis and Machine Learning in Dynamical Systems, Faculty of Sciences, University of Tokyo
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Morse decomposition of dynamics from time-series data and its application2019

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      EASIAM Wuhan University, Wuhan, China June 13-16, 2019
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      Thermodynamic Formalism; Applications to Geometry, Number Theory, and Stochastics (2019年7月8日ー12日), Institut Mittag-Leffler, スウェーデン
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      The 2019 Fall Program of Low-Dimensional Dynamics, Shanghai Center for Mathematical Sciences (2019年9月23日ー27日), Fudan University, 上海、中国
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      数理解析研究所研究集会「Research on the Theory of Random Dynamical Systems and Fractal Geometry」(2019年8月29日ー9月2日)、京都大学
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      角大輝
    • Organizer
      第9回岐阜数理科学研究会(2020年9月9日--11日)、飛騨高山まちの博物館研修室、岐阜県高山市
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      角大輝
    • Organizer
      研究集会「エルゴード理論とその周辺」(2020年11月20日ー23日)、 新潟県長岡市まちなかキャンパス
    • Related Report
      2018 Annual Research Report
  • [Presentation] Random holomorphic dynamical systems associated with analytic families of holomorphic maps2019

    • Author(s)
      角大輝
    • Organizer
      数理解析研究所研究集会「複素力学系の分岐と安定性の研究」(2020年12月9日--13日)、数理解析研究所
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [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
    • Related Report
      2018 Annual Research Report
  • [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
    • Related Report
      2018 Annual Research Report
    • Invited
  • [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
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Computer-assisted Approach to Global Dynamics of Multi-parameter Systems2018

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      KSIAM Spring Conference KAIST, Daejeon, South Korea
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Morse decomposition of the switching system and its smooth perturbations2018

    • Author(s)
      Hiroshi Kokubu
    • Organizer
      International Conference on Algebraic Topology in Data and Dyamics, Montana State University, Bozeman, USA
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2018

    • Author(s)
      Hiroki Sumi
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 台北
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2018

    • Author(s)
      角大輝
    • Organizer
      研究集会「エルゴード理論とその周辺」、大阪大学
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2018

    • Author(s)
      角大輝
    • Organizer
      複素力学系研究とその発展 、京都大学数理解析研究所
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [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
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [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
    • Related Report
      2018 Annual Research Report
    • Invited
  • [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
    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] 10th International Congress on Industrial and Applied Mathematics2023

    • Related Report
      2022 Annual Research Report
  • [Funded Workshop] RIMS 総合研究セミナー「Mathematics of Random Systems: Summer School 2023」2023

    • Related Report
      2022 Annual Research Report
  • [Funded Workshop] 数理解析研究所研究集会「Research on the Theory of Random Dynamical Systems and Fractal Geometry」2019

    • Related Report
      2018 Annual Research Report

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Published: 2018-04-23   Modified: 2025-01-30  

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