Mitsuru Shibayama

Available identifiers

zbMath Open shibayama.mitsuruMaRDI QIDQ362658

List of research outcomes

Publication	Date of Publication	Type
Braids, metallic ratios and periodic solutions of the \(2n\)-body problem	2023-08-08	Paper
Variational proof of the existence of periodic orbits in the anisotropic Kepler problem	2023-06-07	Paper
Variational proof of the existence of periodic orbits in the spatial Hill problem and its constrained problems	2023-01-17	Paper
Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem	2022-02-23	Paper
Nonintegrability of the reduced planar three-body problem with generalized force	2021-12-09	Paper
Variational construction of orbits realizing symbolic sequences in the planar Sitnikov problem	2019-10-18	Paper
Linear stability of periodic three-body orbits with zero angular momentum and topological dependence of Kepler’s third law: a numerical test	2018-10-16	Paper
Non-integrability of the spacial \(n\)-center problem	2018-05-28	Paper
Periodic solutions for a prescribed-energy problem of singular Hamiltonian systems	2017-03-08	Paper
https://portal.mardi4nfdi.de/entity/Q2792102	2016-03-16	Paper
Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up technique of singularities	2015-03-12	Paper
Variational proof of the existence of the super-eight orbit in the four-body problem	2014-09-19	Paper
Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem	2013-08-30	Paper
Minimizing periodic orbits with regularizable collisions in the \(n\)-body problem	2011-10-04	Paper
https://portal.mardi4nfdi.de/entity/Q3087328	2011-08-16	Paper
Non-integrability of the collinear three-body problem	2011-05-16	Paper
Free-fall and heteroclinic orbits to triple collisions in the isosceles three-body problem	2010-04-21	Paper
Heteroclinic connections between triple collisions and relative periodic orbits in the isosceles three-body problem	2009-10-20	Paper
Multiple symmetric periodic solutions to the 2n-body problem with equal masses	2007-01-29	Paper

Research outcomes over time

Doctoral students

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Known relations from the MaRDI Knowledge Graph

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This page was built for person: Mitsuru Shibayama