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math.DS2026
Finite energy foliations and global dynamics in the restricted three-body problem
Lei Liu, Pedro A. S. Salomão
We establish a general criterion for the existence of finite energy foliations on contact three-manifolds with boundary, imposing strong global constraints on the associated Reeb f…
math.DS2025
Non-resonant Hopf Links Near a Hamiltonian Equilibrium Point
C. Grotta-Ragazzo, Lei Liu, Pedro A. S. Salomão
This paper is about the existence of periodic orbits near an equilibrium point of a two-degree-of-freedom Hamiltonian system. The equilibrium is supposed to be a nondegenerate mini…
math.DS2024
On the Sundman-Sperling estimates for the restricted one-center-two-body problem
Ku-Jung Hsu, Lei Liu
In the past two decades, since the discovery of the figure-8 orbit by Chenciner and Montgomery, the variational method has became one of the most popular tools for constructing new…