2 papers
math-ph2026
Fold of a bifurcation solution from the figure-eight choreography in the three body problem
Hiroshi Fukuda, Hiroshi Ozaki
In the figure-eight choreography in the classical three-body problem, both-side bifurcation solutions sometimes fold on one side of the bifurcation point with cusp of action. Three…
math-ph2025
Bifurcation analysis of figure-eight choreography in the three-body problem based on crystallographic point groups
Hiroshi Fukuda, Hiroshi Ozaki
The bifurcation of figure-eight choreography is analyzed by its symmetry group based on the variational principle of the action. The irreducible representations determine the symme…