2 citations · 2 across the 2 of their papers we have counts for
3 papers
Variational principle for bifurcation in Lagrangian mechanics
Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki
An application of variational principle to bifurcation of periodic solution in Lagrangian mechanics is shown. A few higher derivatives of the action integral at a periodic solution…
Morse index and bifurcation for figure-eight choreographies of the equal mass three-body problem
Hiroshi Fukuda, Toshiaki Fujiwara, Hiroshi Ozaki
We report on the Morse index and periodic solutions bifurcating from the figure-eight choreography for the equal mass three-body problem under homogeneous potential for $a…
Decomposition of the Hessian matrix for action at choreographic three-body solutions with figure-eight symmetry
Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki
We developed a method to calculate the eigenvalues and eigenfunctions of the second derivative (Hessian) of action at choreographic three-body solutions that have the same symmetri…