Rchr
J-GLOBAL ID：200901042242769158
Update date: Feb. 01, 2024
Fujiwara Toshiaki
フジワラ トシアキ | Fujiwara Toshiaki
Affiliation and department：
Homepage URL (1)：
http://www.clas.kitasato-u.ac.jp/~fujiwara/
Research field (2)：
Mathematical physics and basic theory
, Applied mathematics and statistics
Research keywords (8)：
Stability
, Morse index
, Saari's conjecture
, Three-Body Problem
, Mathematical Physics
, Applied Mathematics
, Figure-eight Solution
, Dynamical System
Research theme for competitive and other funds (2)：
- 2011 - 2013 Figure-eight solution and Saari's conjecture
- 2007 - 2008 Proof of the Saari's homographic conjecture and research of the figure-eight solution
Papers (30)：
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Fujiwara T, Fukuda H, Ozaki H. Variational principle of action and group theory for bifurcation of figure-eight solutions. arXiv. 2020. 2002.03496
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Hiroshi Fukuda, Toshiaki Fujiwara, Hiroshi Ozaki. Morse index and bifurcation for figure-eight choreographies of the equal mass three-body problem. Journal of Physics A: Mathematical and Theoretical. 2019. 52. 18
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Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki. Decomposition of the Hessian matrix for action at choreographic three-body solutions with figure-eight symmetry. arXiv. 2018
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Hiroshi Fukuda, Toshiaki Fujiwara, Hiroshi Ozaki. Morse index for figure-eight choreographies of the planar equal mass three-body problem. Journal of Physics A: Mathematical and Theoretical. 2018. 51. 14. 145201-145201
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Hiroshi Fukuda, Toshiaki Fujiwara, Hiroshi Ozaki. Figure-eight choreographies of the equal mass three-body problem with Lennard-Jones-type potentials. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2017. 50. 10
ｍore...
MISC (5)：
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藤原 俊朗, 福田 宏, 尾崎 浩司. N-body Choreography on the Lemniscate (力学系理論の展開と応用 研究集会報告集). 数理解析研究所講究録. 2004. 1369. 183-177
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Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki. N-body choreography on the Lemniscate. RIMS Kokyuroku. 2004. 1369. 163-177
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閉曲面の理論その2. 北里大学教養部紀要. 1986. 20
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Mobius resummation of strong coupling expansion in lattice gauge theory. Soryushiron Kenkyu. 1985. 71. 6. F10-F12
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天野 卓治, 藤原 俊朗. 閉曲面の理論. 北里大学教養部紀要. 1985. 19. 19. p35-54
Lectures and oral presentations (8)：
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三体8の字解とそれから分岐する解の線形安定性
(応用数理学会 2018)
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Linear stability and Morse index for the figure-eight and k=5 slalom solutions under homogeneous potential
(AIMS 2018 2018)
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Eigenvalues and eigenfunctions for second derivative of the action at the figure-eight and slalom solutions
(Institute of Classical Mechanics 2018 2018)
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Figure-eight and Slalom solutions in function space
(Mathematical Congress of Americs 2017)
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Decomposition of matrix for second derivative of action at choreographic three-body solutions
(Dynamical Systems -- Joint Exploration of Theory and Application 2017)
ｍore...
Professional career (1)：
Work history (2)：
- 2019/04 - 現在 Kitasato University Professor Emeritus
- 2007/04 - 2019/03 Kitasato University College of Liberal Arts and Sciences Professor
Association Membership(s) (2)：
American Mathematical Society
, THE PHYSICAL SOCIETY OF JAPAN
