Toshiaki Fujiwara

activity

20232025

collaborators

3 papers

math.DS2025

N-body choreographies on a p-limacon curve

Manuel Fernandez-Guasti, Toshiaki Fujiwara, Ernesto Perez-Chavela +1

We consider an $N$ --body problem under a harmonic potential of the form $\frac{1}{2} \sum κ_{j l} ∣ q_{j} - q_{l} ∣^{2}$ . A $p$ -limaçon curve is a planar curve parametrized by $t$ given by $a(…

math.DS2024

Equivalence of Rigid Motions and Relative Equilibria in the N-Body Problem on the Two-Sphere

Toshiaki Fujiwara, Ernesto Pérez-Chavela, Shuqiang Zhu

We investigate the relationship between rigid motions and relative equilibria in the N-body problem on the two-dimensional sphere, S2. We prove that any rigid motion of the N-body…

math.CA2023

Mass independent shapes for relative equilibria in the two dimensional constant positive curved three body problem

Toshiaki Fujiwara, Ernesto Perez-Chavela

In the planar three-body problem under Newtonian potential, it is well known that any masses, located at the vertices of an equilateral triangle generates a relative equilibrium, k…