SAKAI Kazuhiro 酒井一博

… Alternative Names

酒井一博サカイカズヒロ

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Researcher Number	30205702
Other IDs
Affiliation (based on the past Project Information) *help	2020 – 2022: 宇都宮大学, 共同教育学部, 教授 2010 – 2019: 宇都宮大学, 教育学部, 教授 2008: Utsunomiya University, 教育学部, 教授 2007: Utsunomiya University, 教育学部, 准教授 2001 – 2006: Utsunomiya Univ., Faculty of Education, A. P., 教育学部, 助教授 … More 1998 – 2000: 神奈川大学, 工学部, 助教授 1995 – 1996: 神奈川大学, 工学部, 助教授 1994: 神奈川大学, 工学部, 専任講師 1994: 神奈川大学, 工学部, 講師 Less
Review Section/Research Field	Principal Investigator Global analysis / Global analysis / Basic analysis / Basic Section 12020:Mathematical analysis-related Except Principal Investigator Geometry / Algebra / Geometry / Statistical science / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 力学系理論 / 双曲性 / shadowing property / 擬軌道尾行性 / Axiom A / 確率測度 / 占有的分割 / Pesin theory / Pesin理論 / 構造安定性 … More / bifurcation / dynamical systems theory / 分岐 / 占有的分解 / 拡大性 / エルゴード的測度 / 非一様双曲型 / 一様双曲型 / 尾行可能測度 / 微分可能写像 / 測度拡大性 / hyperbolic measures / structural stability / hyperbolic / dynamical systems / 双曲的測度 / Lyapunov exponent / ergodic theory / center manifold / chaos theory / bifurcation theory / stability conjecture / Shadowing property / リャプノフ指数 / エルゴード理論 / 中心多様体 / カオス理論 / 分岐理論 / 構造安定性予想 / shadowing Property / vector fields / pseudo orbits / strong transversality condition / connectin lemma / カオス / connecting lemma / ベクトル場 / transversality condition / pseudo-orbit tracing property / 横断性条件 / 公理A / 擬軌道追跡性 / ホモクリニッククラス / 力学系 / 鎖成分 … More Except Principal Investigator dynamical system / meromorphic mapping / 3-sphere / mean curvature / isometric deformation / flat torus / submanifold / differential geometry / 力学系 / 有理型写像 / 3次元球面 / 平均曲率 / 等長的変形 / 平坦トーラス / 部分多様体 / 微分幾何学 / 体積 / 閉曲線 / ベクトル場 / ベックルンド変換 / 視覚化 / shadowing property / function space / k-network / metrization theorem / regular net / covering property / normality / topological product / Special refinement / サブパラコンパクト / メタコンパクト / 順序数 / LF-netted空間 / 擬軌道尾行性 / 関数空間 / k-ネットワーク / 距離化定理 / レギュラーネット / 被覆性 / 正規性 / 位相積空間 / マルチンゲ-ル理論 / 跳躍過程 / 多次元Skorohod方程式 / 確率積分 / 確率解析 / 拡散過程近似 / ネットワーク / 待ち行列 / nucleus of A conic / strange曲線 / 標数2 / 6点の配置 / Fermat Cubic Surface / Cubic Surface / 大偏差原理 / 遅変数 / 急速変数 / オルンシェタイン=ウーレンベック過程 / 中心極限定理 / リエナ-ル方程式 / 確率微分方程式 / 特異摂動 / 位相的性質 / 積空間 / 集合論 / 位相空間論 / 代数曲線符号 / Weirstrass Pair / Weierstrass半群 / gap列 / Weierstrass点 / 代数曲線 Less

The characterizations of dynamical systems using shadowable measuresPrincipal Investigator
- Principal Investigator
  
  Sakai Kazuhiro
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Utsunomiya University
On the characterization of measure-expansive differentiable mapsPrincipal Investigator
- Principal Investigator
  
  Sakai Kazuhiro
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Utsunomiya University
On the characterization of measure-expansive differentiable dynamical systemsPrincipal Investigator
- Principal Investigator
  
  SAKAI Kazuhiro
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Utsunomiya University
ON THE CHARACTERIZATION OF HOMOCLINIC CLASSES BY MEANS OF THE SHADOWING PROPERTYPrincipal Investigator
- Principal Investigator
  
  SAKAI Kazuhiro
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Utsunomiya University
ON THE CHARACTERIZATION OF CHAIN COMPONENTS BY MEANS OF THE SHADOWING PROPERTYPrincipal Investigator
- Principal Investigator
  
  SAKAI Kazuhiro
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Utsunomiya University
A study on the characterization of C^r-diffeomorphisms possessing the shadowing propertyPrincipal Investigator
- Principal Investigator
  
  SAKAI Kazuhiro
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Utsunomiya University
Geometry of the flat tori in the sphere and non- linear wave equations
- Principal Investigator
  
  KITAGAWA Yoshihisa
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Utsunomiya University
An attempt toward a solution to the C^r-stability conjecture (r【greater than or equal】2)Principal Investigator
- Principal Investigator
  
  SAKAI Kazuhiro
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Utsunomiya University
Bifurcations of vector fields possessing the shadowing propertyPrincipal Investigator
- Principal Investigator
  
  SAKAI Kazuhiro
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Utsunomiya University
Geometry of the flat tori in the 3-sphere and its higher dimensional generalization
- Principal Investigator
  
  KITAGAWA Yoshihisa
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Utsunomiya University
Bifurcations of Dynamical Systems Satisfying the Pseudo-orbit Tracing PropertyPrincipal Investigator
- Principal Investigator
  
  SAKAI Kazuhiro
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kanagawa University
NORMALITY AND COVERING PROFERITIES OF TOPOLOGICAL PROCUCT SPACES
- Principal Investigator
  
  YAJIMA Yukinobu
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kanagawa University
待ち行列ネットワークの拡散過程近似とその応用
- Principal Investigator
  
  山田敬吾
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Statistical science
- Research Institution
  Kanagawa University
代数幾何の応用としてのコード理論
- Principal Investigator
  
  本間正明
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
有限体上の代数曲線論のcoding theoryへの応用
- Principal Investigator
  
  本間正明
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanagawa University
位相積空間の多面的考察
- Principal Investigator
  
  YAJIMA Yukinobu
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kanagawa University
特異摂動の入った確率微分方程式系における急速変数と引き込み現象の解析
- Principal Investigator
  
  成田清正
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kanagawa University

[Book] Shadowing and Hyperbolicity, Lecture Notes in Mathematics 21932017
- Author(s)
  S. Yu. Pilyugin and K. Sakai
- Total Pages
  216
- Publisher
  Springer-Verlag
- ISBN
  9783319651835
- Data Source
  KAKENHI-PROJECT-16K05167
[Journal Article] Positively expansive maps and the limit shadowing properties2021
- Author(s)
  Kazuhiro Sakai
- Journal Title
  
  J. Korean Math. Soc.
  
  Volume: 58 Pages: 207-218
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03578
[Journal Article] Filtrated Pseudo-Orbit Shadowing Property and Approximately Shadowable Measures2021
- Author(s)
  Sakai Kazuhiro、Sumi Naoya
- Journal Title
  
  Axioms
  
  Volume: 10 Issue: 1 Pages: 38-38
- DOI
  10.3390/axioms10010038
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03578
[Journal Article] Shadowing Property and Invariant Measures Having Full Supports2020
- Author(s)
  K. Moriyasu, K. Sakai and N. Sumi
- Journal Title
  
  Qualitative Theory of Dynamical Systems
  
  Volume: - Issue: 1 Pages: 1-7
- DOI
  10.1007/s12346-020-00338-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03578, KAKENHI-PROJECT-16K05167, KAKENHI-PROJECT-19K03585
[Journal Article] The measures of shadowable pseudo-orbits2019
- Author(s)
  K. Sakai and N. Sumi
- Journal Title
  
  Dynamical Systems: An International Journal
  
  Volume: - Issue: 3 Pages: 369-381
- DOI
  10.1080/14689367.2019.1703907
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03578, KAKENHI-PROJECT-16K05167, KAKENHI-PROJECT-19K03585
[Journal Article] Diffeomorphisms with Shadowable Measures2018
- Author(s)
  K. Moriyasu, K. Sakai and N. Sumi
- Journal Title
  
  Axioms
  
  Volume: 7 (4) Issue: 4 Pages: 1-10
- DOI
  10.3390/axioms7040093
- NAID
  120006881393
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05167, KAKENHI-PROJECT-15K04902
[Journal Article] Positively measure-expansive differentiable maps2016
- Author(s)
  L. Lee, M. Lee, K. Moriyasu and K. Sakai
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 435 Issue: 1 Pages: 492-507
- DOI
  10.1016/j.jmaa.2015.10.034
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400105
[Journal Article] Ergodic measure-expansive diffeomorphisms2014
- Author(s)
  K. Sakai, N. Sumi and K. Yamamoto
- Journal Title
  
  Dynamical Systems: An International Journal
  
  Volume: 29 Issue: 4 Pages: 569-577
- DOI
  10.1080/14689367.2014.952222
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400105
[Journal Article] Measure-expansive diffeomorphisms2014
- Author(s)
  K. Sakai, N. Sumi, K. Yamamoto
- Journal Title
  
  J. Math. Anal. Appl
  
  Volume: 414 Issue: 2 Pages: 546-552
- DOI
  10.1016/j.jmaa.2014.01.023
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540234, KAKENHI-PROJECT-25400105
[Journal Article] Regular maps satisfying the specification property2013
- Author(s)
  K. Moriyasu, K. Sakai and K. Yamamoto
- Journal Title
  
  Discrete and Contin. Dynam. Syst.
  
  Volume: 33 Issue: 7 Pages: 2991-3009
- DOI
  10.3934/dcds.2013.33.2991
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540218, KAKENHI-PROJECT-23540234, KAKENHI-PROJECT-25400105
[Journal Article] Shadowing chain transitive sets2013
- Author(s)
  K. Sakai
- Journal Title
  
  to appear in Journal of Difference Equations and Applications
  
  Volume: 19 Issue: 10 Pages: 1601-1618
- DOI
  10.1080/10236198.2013.767897
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540218, KAKENHI-PROJECT-25400105
[Journal Article] Diffeomorphisms with the s-limit shadowing property2012
- Author(s)
  K. Sakai
- Journal Title
  
  Dynamical Systems: An International Journal
  
  Volume: 27 Issue: 4 Pages: 403-410
- DOI
  10.1080/14689367.2012.691960
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540218
[Journal Article] C^1-stably weakly shadowing homoclinic classes admit dominated splittings2010
- Author(s)
  S.Gan, K.Sakai, L.Wen
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 27 Pages: 205-216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540218
[Journal Article] Positively expansive differentiable maps2010
- Author(s)
  K.Sakai
- Journal Title
  
  Acta Mathematica Sinica, English Series
  
  Volume: 26 Pages: 1839-1846
- NAID
  110008451459
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540218
[Journal Article] C1-stable shadowing diffeomorphisms2008
- Author(s)
  K. Lee, K. Moriyasu and K. Sakai
- Journal Title
  
  Discrete and Continuous Dynamical Systems 22
  
  Pages: 683-697
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540209
[Journal Article] C1-stably shadowable chain components2008
- Author(s)
  Kazuhiro Sakai
- Journal Title
  
  Ergodic Theory and Dynamical Systems 28
  
  Pages: 987-1029
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540209
[Journal Article] C^1-stably shadowable chain components2008
- Author(s)
  K. Sakai
- Journal Title
  
  Ergodic Theory and Dynam. Syst. 28
  
  Pages: 987-1029
- Data Source
  KAKENHI-PROJECT-19540209
[Journal Article] C^I-stably shadowable chain components2008
- Author(s)
  Kazuhiro Sakai
- Journal Title
  
  Ergodic Theory and Dynamical Systems (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540209
[Journal Article] C^1-stable shadowing diffeomorphisms2008
- Author(s)
  K. Lee, K. Moriyasu, K. Sakai
- Journal Title
  
  Discrete and Continuous Dynam. Syst. 22
  
  Pages: 683-697
- Data Source
  KAKENHI-PROJECT-19540209
[Journal Article] C^1-stably shadowable chain components for generic diffeomorphisms2007
- Author(s)
  K. Sakai
- Journal Title
  
  Far East J. Dynam. Syst. 9
  
  Pages: 345-350
- Data Source
  KAKENHI-PROJECT-19540209
[Journal Article] Structural stability of vector fields with shadowing2007
- Author(s)
  K.Lee, K.Sakai
- Journal Title
  
  Journal of Differential Equations 232
  
  Pages: 303-313
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540187
[Journal Article] C^0-transversality and shadowing properties2007
- Author(s)
  S.Yu.Pilyugin, K.Sakai
- Journal Title
  
  Proceedings of the Steklov Institute of Mathematics 256
  
  Pages: 1-16
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540187
[Journal Article] C^I-stably shadowable chain components for generic diffeomorphisms2007
- Author(s)
  Kazuhiro Sakai
- Journal Title
  
  Far East Journal of Dynamical Systems 9
  
  Pages: 345-350
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540209
[Journal Article] Transversality properties and C^1-open sets of diffeomorphisms with weak shadowing2006
- Author(s)
  S.Yu.Pilyugin, K.Sakai, O.A.Tarakanov
- Journal Title
  
  Discrete and Continuous Dynamical Systems 16
  
  Pages: 871-882
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540187
[Journal Article] $C^1$-stably expansive flows2005
- Author(s)
  K.Sakai (with K.Moriyasu, W.Sun)
- Journal Title
  
  Journal of Differential Equations Vol.213
  
  Pages: 352-367
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Limit weak shadowing property2005
- Author(s)
  K.Sakai, O.A.Tarakanov
- Journal Title
  
  Far East Journal of Dynamical Systems 7
  
  Pages: 137-144
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540187
[Journal Article] Various shadowing properties and their equivalence2005
- Author(s)
  K.Lee, K.Sakai
- Journal Title
  
  Discrete and Continuous Dynamical Systems to appear
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] Limit weak shadowing property2005
- Author(s)
  K.Sakai (with O.A.Tarakanov)
- Journal Title
  
  Far East Journal of Dynamical Systems Vol.7
  
  Pages: 137-144
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Various shadowing properties and their equivalence2005
- Author(s)
  K.Sakai, K.H.Lee
- Journal Title
  
  Discrete and Continuous Dynamical Systems 13
  
  Pages: 533-539
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] $C^1$-stably expansive flows2005
- Author(s)
  K.Sakai
- Journal Title
  
  Journal of Differential Equations 213
  
  Pages: 352-367
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] C^1-stably expansive flows2005
- Author(s)
  K.Moriyasu, K.Sakai, W.Sun
- Journal Title
  
  Journal of Differential Equations 213
  
  Pages: 352-367
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540187
[Journal Article] Limit weak shadowing property2005
- Author(s)
  K.Sakai, O.A.Tarakanov
- Journal Title
  
  Far East Journal of Dynamical Systems 7
  
  Pages: 137-144
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Various shadowing properties and their equivalence2005
- Author(s)
  K.H.Lee, K.Sakai
- Journal Title
  
  Discrete and Continuous Dynamical Systems 13
  
  Pages: 533-539
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Various shadowing properties and their equivalence2005
- Author(s)
  K.-H.Lee, K.Sakai
- Journal Title
  
  Discrete and Continuous Dynamical Systems 13
  
  Pages: 533-539
- Data Source
  KAKENHI-PROJECT-17540187
[Journal Article] C^1-stably expansive flows2005
- Author(s)
  K.Moriyasu, K.Sakai, W.Sun
- Journal Title
  
  Journal of Differential Equations (in press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] Various shadowing properties and their equivalence2005
- Author(s)
  K.Lee, K.Sakai
- Journal Title
  
  Discrete and Continuous Dynamical Systems 13
  
  Pages: 533-539
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540187
[Journal Article] Various shadowing properties and their equivalence2005
- Author(s)
  K.Sakai (with K.H.Lee)
- Journal Title
  
  Discrete and Continuous Dynamical Systems Vol.13
  
  Pages: 533-539
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] C^1-stably expansive flows2005
- Author(s)
  K.Moriyasu, K.Sakai, W.Sun
- Journal Title
  
  Journal of Differential Equations to appear
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] C^1-stably positively expansive maps2004
- Author(s)
  K.Sakai
- Journal Title
  
  Bulletin of the Polish Academy of Sciences, Mathematics 52(2)
  
  Pages: 197-209
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] $C^1$-stably positively expansive maps2004
- Author(s)
  K.Sakai, K.Moriyasu, W.Sun
- Journal Title
  
  Bulletin of the Polish Academy of Sciences Mathematics 52
  
  Pages: 197-209
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] C^1-stably positively expansive maps2004
- Author(s)
  K.Sakai
- Journal Title
  
  Bulletin of the Polish Academy of Sciences Mathematics 52
  
  Pages: 197-209
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] $C^1$-stably positively expansive maps2004
- Author(s)
  K.Sakai
- Journal Title
  
  Bulletin of the Polish Academy of Sciences Mathematics 52
  
  Pages: 197-209
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] C^1-stably expansive maps2004
- Author(s)
  K.Sakai
- Journal Title
  
  Bulletin of the Polish Academy of Sciences, Mathematics 52(2)
  
  Pages: 197-209
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] $C^1$-stably positively expansive maps2004
- Author(s)
  K.Sakai
- Journal Title
  
  Bulletin of the Polish Academy of Sciences Mathematics Vol.52
  
  Pages: 197-209
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Various shadowing properties for positively expansive maps2003
- Author(s)
  K.Sakai
- Journal Title
  
  Topology and its Applications Vol.131
  
  Pages: 15-31
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Orbital and weak shadowing properties2003
- Author(s)
  K.Sakai, S.Yu.Pilyugin, A.A.Rodionova
- Journal Title
  
  Discrete and Continuous Dynamical Systems 9
  
  Pages: 287-308
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Orbital and weak shadowing properties2003
- Author(s)
  S.Yu.Pilyugin, K.Sakai, A.A.Rodionova
- Journal Title
  
  Discrete and Continuous Dynamical Systems 9
  
  Pages: 287-308
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] Orbital and weak shadowing properties2003
- Author(s)
  K.Sakai (with S.Yu.Pilyugin, A.A.Rodionova)
- Journal Title
  
  Discrete and Continuous Dynamical Systems Vol.9
  
  Pages: 287-308
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Various shadowing properties for positively expansive maps2003
- Author(s)
  K.Sakai
- Journal Title
  
  Topology and its Applications 131(1)
  
  Pages: 15-31
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] Various shadowing properties for positively expansive maps2003
- Author(s)
  K.Sakai
- Journal Title
  
  Topology and its Applications 131
  
  Pages: 15-31
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] Orbital and weak shadowing properties2003
- Author(s)
  S.Yu.Pilyugin, A.A.Rodionova, K.Sakai
- Journal Title
  
  Discrete and Continuous Dynamical Systems 9
  
  Pages: 287-308
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] Various shadowing properties for positively expansive maps2003
- Author(s)
  K.Sakai
- Journal Title
  
  Topology and its Applications 131
  
  Pages: 15-31
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Various shadowing properties and their equivalence
- Author(s)
  K.Lee, K.Sakai
- Journal Title
  
  Discrete and Continuous Dynamical Systems (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540197
[Journal Article] $C^1$-stably expansive flows
- Author(s)
  K.Moriyasu, K.Sakai, W.Sun
- Journal Title
  
  Journal of Differential Equations (発表予定)
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Various shadowing properties and their equivalence
- Author(s)
  K.-H.Lee, K.Sakai
- Journal Title
  
  Discrete and Continuous Dynamical Systems (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540197
[Presentation] Positively measure-expansive maps2015
- Author(s)
  K. Sakai
- Organizer
  Chungnam National University 数学教室講演会
- Place of Presentation
  Chungnam National University 韓国
- Year and Date
  2015-05-01
- Data Source
  KAKENHI-PROJECT-25400105
[Presentation] Measure-expansive diffeomorphisms2012
- Author(s)
  K. Sakai
- Organizer
  Recent Trends in Ergodic Theory & Dynamical Systems
- Place of Presentation
  The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat, INDIA
- Invited
- Data Source
  KAKENHI-PROJECT-22540218
[Presentation] Measure-expansive diffeomorphisms, Recent Trends in Ergodic Theory &Dynamical Systems2012
- Author(s)
  K. Sakai, N. Sumi and K. Yamamoto
- Organizer
  The Maharaja SayajiraoUniversity of Baroda
- Place of Presentation
  Vadodara, Gujarat, INDIA
- Year and Date
  2012-12-28
- Data Source
  KAKENHI-PROJECT-22540218
[Presentation] Shadowing chain transitive sets2011
- Author(s)
  K. Sakai
- Organizer
  北京大学数学教室
- Place of Presentation
  北京大学,北京,中国
- Year and Date
  2011-08-26
- Data Source
  KAKENHI-PROJECT-22540218
[Presentation] C1-stably weakly shadowing homoclinic classes, Workshop on Dynamical Systems and Applied Mathematics2010
- Author(s)
  K. Sakai
- Organizer
  Uniwersytet Jagiellonski
- Place of Presentation
  Krakow, Polska
- Year and Date
  2010-10-15
- Data Source
  KAKENHI-PROJECT-22540218
[Presentation] C^1-stably weakly shadowing homoclinic classes2010
- Author(s)
  K.Sakai
- Organizer
  Workshop on Dynamical Systems and Applied Mathematics
- Place of Presentation
  Uniwersytet Jagiellonski, Krakow, Polska
- Year and Date
  2010-10-15
- Data Source
  KAKENHI-PROJECT-22540218
[Presentation] C1-stably weakly shadowing homoclinic classes, Various Aspects of Dynamical Systems, ICM 2010 Satellite Conference2010
- Author(s)
  K. Sakai
- Organizer
  The Maharaja SayajiraoUniversity of Baroda
- Place of Presentation
  Vadodara, Gujarat, INDIA
- Year and Date
  2010-08-31
- Data Source
  KAKENHI-PROJECT-22540218
[Presentation] C^1-stably weakly shadowing homoclinic classes2010
- Author(s)
  K.Sakai
- Organizer
  Various Aspects of Dynamical Systems, ICM 2010 Satellite Conference
- Place of Presentation
  The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat, INDIA
- Year and Date
  2010-08-31
- Data Source
  KAKENHI-PROJECT-22540218
[Presentation] C1-stable shadowing property on chain components2008
- Author(s)
  Kazuhiro Sakai
- Organizer
  The 7th AIMS Conference on Dynamical Systems and Differential Equations
- Place of Presentation
  University of Texas at Arlington, Texas, USA
- Year and Date
  2008-05-19
- Data Source
  KAKENHI-PROJECT-19540209
[Presentation] C1-table weak shadowing chain components are partially hyperbolic2008
- Author(s)
  Kazuhiro Sakai
- Organizer
  2008 Int' 1 Workshop on Dynamical Systems and Related Topics
- Place of Presentation
  Chungnam National Univ., Daejeon, Korea
- Year and Date
  2008-08-20
- Data Source
  KAKENHI-PROJECT-19540209
[Presentation] C^1-stable weak shadowing chain components are partially hyperbolic2008
- Author(s)
  K. Sakai
- Organizer
  2008 Int'l Workshop on Dynamical Systems and Related Topics
- Place of Presentation
  Chungnam National Univ., Daejeon, Korea
- Year and Date
  2008-08-20
- Data Source
  KAKENHI-PROJECT-19540209
[Presentation] Hyperbolicity of C^1-stably shadowable chain components2008
- Author(s)
  酒井一博
- Organizer
  「双曲性を超えた位相力学系の新展開」研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-10-01
- Data Source
  KAKENHI-PROJECT-19540209
[Presentation] C^1 stable shadowing property on chain components2008
- Author(s)
  K. Sakai
- Organizer
  The 7th AIMS Conference on Dynamical Systems and Differential Equations
- Place of Presentation
  University of Texas at Arlington, Texas, USA
- Year and Date
  2008-05-19
- Data Source
  KAKENHI-PROJECT-19540209
[Presentation] Hyperbolicity of C1-stably shadowable chain componehts2008
- Author(s)
  酒井一博
- Organizer
  「双曲性を超えた位相力学系の新展開」研究集会
- Place of Presentation
  京都大学数蓮解析研究所
- Year and Date
  2008-10-01
- Data Source
  KAKENHI-PROJECT-19540209
[Presentation] Recent development of shadowing theory of differentiable dynamical systems2007
- Author(s)
  Kazuhiro Sakai
- Organizer
  2007 CNU workshop on Nonlinear Analysis and its Application
- Place of Presentation
  Daejeon, Korea
- Year and Date
  2007-08-24
- Data Source
  KAKENHI-PROJECT-19540209

1. SAKAI Masami (60215598)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. 阿部吉弘 (10159452)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. KITAGAWA Yoshihisa (20144917)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. 立花俊一 (50017159)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. YAJIMA Yukinobu (10142548)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. FUJIHIRA Hideyuki (70114171)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. OCHIAI Syoji (30031545)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. AIHARA Yoshihiro (60175718)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. MORIYASU Kazumine (60253184)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
10. 本間正明 (80145523)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. 成田清正 (10211450)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 信太正之 (20271364)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 山田敬吾 (90111369)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. 木村寛 (70017953)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 江森英世 (90267526)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. SHIRASOU Takeo (50007960)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. HOSAKA Tetsuya (50344908)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. INOGUCHI Jun-ichi (40309886)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 信田正之

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 鷲見直哉

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

SAKAI Kazuhiro 酒井 一博

酒井 一博 サカイ カズヒロ

Research Projects

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The characterizations of dynamical systems using shadowable measuresPrincipal Investigator

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On the characterization of measure-expansive differentiable mapsPrincipal Investigator

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On the characterization of measure-expansive differentiable dynamical systemsPrincipal Investigator

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ON THE CHARACTERIZATION OF HOMOCLINIC CLASSES BY MEANS OF THE SHADOWING PROPERTYPrincipal Investigator

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ON THE CHARACTERIZATION OF CHAIN COMPONENTS BY MEANS OF THE SHADOWING PROPERTYPrincipal Investigator

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A study on the characterization of C^r-diffeomorphisms possessing the shadowing propertyPrincipal Investigator

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An attempt toward a solution to the C^r-stability conjecture (r【greater than or equal】2)Principal Investigator

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Bifurcations of vector fields possessing the shadowing propertyPrincipal Investigator

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Bifurcations of Dynamical Systems Satisfying the Pseudo-orbit Tracing PropertyPrincipal Investigator

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SAKAI Kazuhiro 酒井一博

酒井一博サカイカズヒロ