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physics.class-ph2019
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…
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…