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J-GLOBAL ID：200901052563854535   Update date: Jan. 30, 2024

Kiriki Shin

キリキ シン | Kiriki Shin
Affiliation and department：
Tokai University School of Science Department of Mathematics

About Tokai University School of Science Department of Mathematics


Other affiliations (2)：
Homepage URL  (1)： https://researchmap.jp/read0186395/
Research field  (3)： Basic analysis ,  Mathematical analysis ,  Geometry
Research keywords  (2)： dynamical systems ,  Hyperbolic/non-hyperbolic dynamical systems
Research theme for competitive and other funds  (20)：
  • 2022 - 2026 Dynamical systems with observable Lyapunov irregular sets
  • 2021 - 2026 Existence and persistence of historic wandering domains for high-dimensional dynamical systems
  • 2018 - 2022 ヒストリー的挙動を許容する可微分力学系の創発性の研究
  • 2017 - 2021 高次元非双曲微分同相写像系の非自明遊走集合の存在とそのヒストリック性
  • 2013 - 2017 非双曲力学系の非自明遊走領域の存在に基づく研究の新しい枠組みの構築
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Papers (38)：
  • Shin Kiriki, Yushi Nakano, Teruhiko Soma. Historic and physical wandering domains for wild blender-horseshoes. Nonlinearity. 2023. 36. 8. 4007-4033
  • Shin Kiriki, Yushi Nakano, Teruhiko Soma. Emergence via non-existence of averages. Advances in Mathematics. 2022. 400. 108254-108254
  • Shin Kiriki, Xiaolong Li, Yushi Nakano, Teruhiko Soma. Abundance of Observable Lyapunov Irregular Sets. Communications in Mathematical Physics. 2022. 391. 3. 1241-1269
  • Pablo G. Barrientos, Shin Kiriki, Yushi Nakano, Artem Raibekas, Teruhiko Soma. Historic behavior in nonhyperbolic homoclinic classes. Proceedings of the American Mathematical Society. 2019. 148. 3. 1195-1206
  • Shin Kiriki, Yushi Nakano, Teruhiko Soma. Historic behaviour for nonautonomous contraction mappings. Nonlinearity. 2019. 32. 3. 1111-1124
ｍore...
MISC (4)：
  • Pablo G. Barrientos, Shin Kiriki, Yushi Nakano, Artem Raibekas, Teruhiko Soma. Historic behavior in non-hyperbolic homoclinic classes. Proceedings of the American Mathematical Society. 2019. 148. 3. 1195-1206
  • 桐木 紳. 3次ホモクリニック接触における非単調分岐とストレンジアトラクタの存在. 日本数学会(2006年秋季)トポロジー分科会アブストラクト集. 2006. 78-79
  • 桐木 紳. 高次元ヘノン族の研究報告. 複雑系の構成論および計算論のための実験数学. 1997
  • KIRIKI SHIN. THE FIRST BIFURCATION & THE FIRST TANGENCY INSIDE THE HORSESHOE. Bussei Kenkyu. 1996. 66. 4. 807-814
Books (3)：
  • 数学の問題を うまく きれいに解く秘訣
    2017
  • Hirsh,Smale, Deavney 力学系入門 -微分方程式からカオスまで-
    共立出版株式会社 2007 ISBN:9784320018471
  • カオスセミナー
    海文堂出版 1993 ISBN:9784303730208
Lectures and oral presentations  (21)：
  • Historic and physical wandering domains for wild blender-horseshoes
    (Winter Workshop of Dynamical Systems in fiscal year 2021, Kyushu Univ. Japan 2023)
  • Historic wandering domains for wild blender-horseshoes
    (Hyperbolic interweaving in dynamics: celebrating Lorenzo J. Diaz 60th birthday(Polish Academy of Sciences, Institute of Mathematics, Banach Center) 2021)
  • Historic behavior in non-hyperbolic homoclinic classes
    (2019)
  • Robust historic behavior of generic orbits for heterodimensional cycles
    (One day Workshop of Dynamical Systems in Suzhou (Soochow University, PR China) 2018)
  • Historic behavior for heterodimensional cycles
ｍore...
Works (2)：
  • 非横断的交差を含むヘテロ次元サイクルのロバスト性に関する研究, 基盤研究(C)
    2011 -
  • 非横断的交差を含むヘテロ次元サイクルのロバスト性に関する研究, 基盤研究(C)
    2010 -
Work history (14)：
  • 2021/04 - 現在 The University of Tokyo Graduate School of Arts and Sciences
  • 2020 - 現在 Rissho University
  • 2019/04 - 現在 Tokai University School of Science
  • 2013 - 現在 Tokai University Dept of Math. Professor
  • 2017/02 - 2017/02 - Fluminense Federal University(Brazil) Dept. Math. Visiting Researcher
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Association Membership(s) (1)：
日本数学会
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