Rchr
J-GLOBAL ID：201501015512056613
Update date: Feb. 01, 2024
Shibayama Mitsuru
シバヤマ ミツル | Shibayama Mitsuru
Affiliation and department：
Job title：
Associate professor
Homepage URL (1)：
https://sites.google.com/view/mitsurushibayama/
Research field (1)：
Mathematical analysis
Research keywords (3)：
Variational problems
, Celestial mechanics
, Dynamical systems
Research theme for competitive and other funds (12)：
- 2023 - 2028 変分法と位相幾何学によるハミルトン系の新たな理論の構築と展開
- 2022 - 2026 Development of innovative theories on integrability of dynamical systems and their applications
- 2021 - 2025 変分的および幾何学的手法による人工衛星と惑星探査機の軌道設計
- 2018 - 2023 変分法による周期軌道の個数評価と分岐解析および複雑な軌道の存在証明
- 2016 - 2022 標準形理論による可積分系の剛性と大域構造の解析
- 2014 - 2019 Research on particular solutions and dynamics around them for Hamiltonian systems
- 2014 - 2018 Understanding of turbulent phenomena through dissipative weak solutions to fluid equations
- 2013 - 2017 Perturbation problems for degenerate integrable systems and mathematics for resonance phenomena
- 2013 - 2017 Investigation of Diverse Bifurcation Structures in Differential Dynamical Systems
- 2010 - 2014 Variational approach to the n-body problem
- 2010 - 2013 Normal forms for superintegrable systems at singular points and their perturbation problems
- 2009 - 2012 Bifurcations and Homo- and Heteroclinic Behavior in Infinite- Dimensional Dynamical Systems
Show all
Papers (23)：
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Yuika Kajihara, Eiko Kin, Mitsuru Shibayama. Braids, metallic ratios and periodic solutions of the 2n-body problem. Topology and its Applications. 2023. 337. 108640-108640
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Shota Iguchi, Mitsuru Shibayama. Variational proof of the existence of periodic orbits in the anisotropic Kepler problem. Celestial Mechanics and Dynamical Astronomy. 2023. 135. 3
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Shota Iguchi, Yuika Kajihara, Mitsuru Shibayama. Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems. Japan Journal of Industrial and Applied Mathematics. 2022. 40. 1. 513-524
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Yuika Kajihara, Mitsuru Shibayama. Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem. Nonlinearity. 2022. 35. 3. 1431-1446
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Nozomi Akashi, Kohei Nakajima, Mitsuru Shibayama, Yasuo Kuniyoshi. A mechanical true random number generator. New Journal of Physics. 2022. 24. 1. 013019-013019
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MISC (28)：
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柴山允瑠. 微分形式と力学. 数理科学. 2023. 61. 8. 16-23
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柴山允瑠. 古典力学と変分問題 : n体問題の周期解の存在証明に向けて(第12回)8の字解の存在証明以降の展開. 数学セミナー. 2023. 62. 3
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柴山允瑠. 古典力学と変分問題 : n体問題の周期解の存在証明に向けて(第11回)最小点の存在証明. 数学セミナー. 2023. 62. 2
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柴山允瑠. 古典力学と変分問題 : n体問題の周期解の存在証明に向けて(第10回)最小点の存在に関する反例. 数学セミナー. 2023. 62. 1
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柴山允瑠. 古典力学と変分問題 : n体問題の周期解の存在証明に向けて(第9回)8 の字解の存在証明 (2). 数学セミナー. 2022. 61. 12. 75-79
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Books (1)：
Lectures and oral presentations (11)：
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Periodic solutions of a prescribed-energy problem for a singular Hamiltonian system
(The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Hyatt Regency Orlando, Florida, USA 2016)
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n体問題の周期軌道の変分解析
(日本数学会2016年度年会函数方程式分科会, 筑波大学 2016)
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Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up technique of singularities
(The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain 2014)
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Variational proof of the existence of the super-eight orbit in the four-body problem
(The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Universidad Autónoma de Madrid, Madrid, Spain 2014)
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Variational proof of the existence of the super-eight orbit in the four-body problem
(The Asian Mathematical Conference 2013, BEXCO, Busan, Kore 2013)
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Work history (3)：
- 2015/07/01 - Kyoto University Associate Professor
- 2011/04/01 - Osaka University Associate Professor
- Kyoto University
Association Membership(s) (1)：
The Mathematical Society of Japan
