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
Variational proof of the existence of periodic orbits in the anisotropic Kepler problem. 2023. 135. 3
Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems. 2022. 40. 1. 513-524
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
Nozomi Akashi, Kohei Nakajima, Mitsuru Shibayama, Yasuo Kuniyoshi. A mechanical true random number generator. New Journal of Physics. 2022. 24. 1. 013019-013019
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)
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)
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)
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)
Variational proof of the existence of the super-eight orbit in the four-body problem
(The Asian Mathematical Conference 2013, BEXCO, Busan, Kore 2013)
