3 papers
math.DS2025
Variational Construction of Homoclinic and Heteroclinic Orbits in the Planar Sitnikov Problem
Yuika Kajihara, Mitsuru Shibayama, Guowei Yu
The Sitnikov problem is a special case of the three-body problem. The system is known to be chaotic and has been studied by symbolic dynamics (J. Moser, Stable and random motions i…
math.DS2025
The Aubry set for the XY model and typicality of periodic optimization for 2-locally constant potentials
Yuika Kajihara, Shoya Motonaga, Mao Shinoda
We consider the Aubry set for the XY model, symbolic dynamics with the uncountable symbol , and study its action-optimizing properties. Moreover,…
math.DS2023
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 the dynamics of their maps and the works of Poincare and…