Preprint
- (with M. Suvakov) Three topologically Nontrivial Choreographic Motions of Three Bodies
Refereed paper
- Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up technique of singularities, Discrete and Continuous Dynamical Systems-A 35(2015), 3707-3719( preprint).
- Minimax approach to the n-body problem, ASPM. vol. 64 (2013), Nonlinear Dynamics in Partial Differential Equations, accepted.
- Variational proof of the existence of the super-eight orbit in the four-body problem, Archive for Rational Mechanics and Analysis, 214(2014), 77-98 (preprint)
- (with Yagasaki) Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem, Celestial Mechanics and Dynamical Astronomy, 110(2011), 53-70
- Non-integrability of the collinear three-body problem, Discrete and Continuous Dynamical Systems-A, 30(2011), 299-312.
- Minimizing periodic orbits with regularizable collisions in the n-body problem, Archive for Rational Mechanics and Analysis, 199(2011), 821-841 (KURENAI).
- Free-fall and heteroclinic orbits to triple collisions in the isosceles three-body problem, Journal of Mathematics of Kyoto University, 49 (2009), 735-746.
- (with K. Yagasaki) Heteroclinic connections between triple collisions and relative periodic orbits in the isosceles three-body problem, Nonlinearity, 22 (2009), 2377-2403 (KURENAI).
- Existence and stability of periodic solutions in the isosceles three-body problem, RIMS Kˆokyuˆroku Bessatsu, B13 (2009), 141-155.
- Multiple symmetric periodic solutions to the 2n-body problem with equal masses, Nonlinearity,19 (2006), 2441-2453 (preprint version).
Non-refereed paper
- Action minimizing periodic solutions in the N-body problem, proceedings of Sino-Japan conference (2011), 2012.
- Variational Existence Proof of Quasi-periodic Solutions in the Isosceles Three-Body Problem, Resonances, Stabilization, and Stable Chaos in Hierarchical Triple Systems, Proceedings of the second international workshop held in Chiba, Japan.
- KAM-Stability of the Symmetric Euler Solution, Resonances, Stabilization, and Stable Chaos in Hierarchical Triple Systems, Proceedings of the second international workshop held in Chiba, Japan.
- Oscillatory and Periodic Motions in the Rectilinear Three-Body Problem, Resonances, sta-bilization, and stable chaos in hierarchical triple systems, St. Petersburg University(August2007).
- Variational Methods of N-body Problem, Resonances, stabilization, and stable chaos in hierarchical triple systems, St. Petersburg University(August 2007).
Invited talks
- Variational proof of the existence of the super-eight orbit in the four-body problem, The Asian Mathematical Conference 2013, BEXCO, Pusan, Korea
- Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up theory of singularities, New Perspectives on the N-body Problem, BIRS, Banff, Canada (January 2013)(video)
- Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up theory of sin- gularities, Workshop on Variational methods in N-body and Vortex Dynamics, Dipartimento di Matematica e Fisica ”Ennio De Giorgi”, Italy(June 2012)
- Variational approach to the n-body problem, Sino-Japan Conference of Young Mathematicians, Nankai University, China( December 2011)
- A variational proof of the existence of Gerver’s super-eight orbit in the four-body problem, II UPC Integrability Seminar, Universitat Politcnica de Catalunya, Barcelona, Spain(June 2010)
Grants
- Japan Society for the Promotion of Science (JSPS),Grant-in-Aid for Young Scientists (B), 2014--2017
- Japan Society for the Promotion of Science (JSPS),Grant-in-Aid for Young Scientists (B), No. 40467444, "Variational approach to the n-body problem", 2010--2013
- Sumitomo Foundation, Grant for Basic Science Research Projects No. 111153, "Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up technique of singularities", 2011-2013