Kokubu Hiroshi

Affiliation and department：
Homepage URL (1)： http://kaken.nii.ac.jp/ja/r/50202057

Research field (3)： Basic analysis , Geometry , Mathematical analysis

Research keywords (21)：包括脳ネットワーク , ヘテロ複雑システム , アトラクタ , 複雑系 , 計算機支援解析 , 無限次元力学系 , 微分方程式 , 位相計算 , ヘテロクリニック軌道 , カオス的遍歴 , 大自由度 , 位相的方法 , Conley index , 特異摂動 , ベクトル場 , 大域的構造 , ホモクリニック軌道 , 特異性 , 分岐 , カオス , 力学系

Research theme for competitive and other funds (2)：

力学系とその分岐とカオスの研究
Study of dynamical systems and their bifurcations and chaos

Papers (44)：

Li Yang, Kokubu Hiroshi, Aihara Kazuyuki. Explicit transversality conditions and local bifurcation diagrams for Bogdanov-Takens bifurcation on center manifolds. PHYSICA D-NONLINEAR PHENOMENA. 2019. 391. 52-65
Lustro Julius, Rhoan T, Kawahara Genta, van Veen Lennaert, Shimizu Masaki, Kokubu Hiroshi. The onset of transient turbulence in minimal plane Couette flow. JOURNAL OF FLUID MECHANICS. 2019. 862
Morita Hidetoshi, Inatsu Masaru, Kokubu Hiroshi. Topological Computation Analysis of Meteorological Time-Series Data. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. 2019. 18. 2. 1200-1222
Tomas Gedeon, Shaun Harker, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka. Global dynamics for steep nonlinearities in two dimensions. PHYSICA D-NONLINEAR PHENOMENA. 2017. 339. 18-38
Tomoyuki Miyaji, Pawel Pilarczyk, Marcio Gameiro, Hiroshi Kokubu, Konstantin Mischaikow. A study of rigorous ODE integrators for multi-scale set-oriented computations. APPLIED NUMERICAL MATHEMATICS. 2016. 107. 34-47

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MISC (5)：

Z. Aral, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk. A database schema for the analysis of global dynamics. AIP Conference Proceedings. 2009. 1168. 918-921
Hiroshi Kokubu. On transition matrices. EQUADIFF99, Proceedings of the International Conference on Differential Equations, Berlin, Germany 1-7 August 1999, World Scientific. 2000
Hiroshi Kokubu. Heteroclinic bifurcations associated with different saddle indices. in Proceedings of the International Conference "Dynamical Systems and Related Topics" (Ed. K. Shiraiwa), Advanced Series in Dynamical Systems, Vol. 9, pp. 236-260, World Scientific. 1991
Normal forms for nonlinear vector fields, I&II(共著). IEEE Transactions on Circuits and Systems. 1988. 35. 863-880,6,51-70
H KOKUBU. ON A CODIMENSION-2 BIFURCATION OF HETEROCLINIC ORBITS. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES. 1987. 63. 8. 298-301

Books (8)：

カオス力学系入門第2版
共立出版 2003
力学系の基礎
カオス全書第2巻,朝倉書店 2000
Directional transition matrix(共著)
Conley Index Theory, Banach Center Publication 1999
Bifurcations - Sights, Sounds and Mathematics
Springer-Verlag, 1993
Bifurcations-Sights, Sounds and Mathematics(共著)
Springer-Verlag 1993

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Education (2)：

- 1988 Kyoto University
- 1988 Kyoto University Graduate School, Division of Natural Science

Professional career (1)：

Doctor of Science

Work history (10)：

2008 - 2009 京都大学理学(系)研究科(研究院) 教授
2001 - 2007 京都大学理学(系)研究科(研究院) 助教授
2007 - 京都大学大学院教授・理学研究科
2006 - Kyoto University Graduate School of Science
2006 - Kyoto University Graduate School of Science

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Association Membership(s) (2)：

日本応用数理学会 , 日本数学会

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