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math.DS2022
Variational structures for infinite transition orbits of monotone twist maps
Yuika Kajihara
In this paper, we consider chaotic dynamics and variational structures of area-preserving maps. There is a lot of study on dynamics of their maps and the works of Poincare and Birk…
math.DS2022
Braids, metallic ratios and periodic solutions of the -body problem
Yuika Kajihara, Eiko Kin, Mitsuru Shibayama
Periodic solutions of the planar -body problem determine braids through the trajectory of bodies. Braid types can be used to classify periodic solutions. According to the Ni…