most citedMorse index and bifurcation for figure-eight choreographies of the equal mass three-body problem

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math-ph2019★ 2 cited

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…

math-ph2018

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…