4 papers
Relative Periodic Orbits in the Gutzwiller-type Anisotropic Kepler Problem and -body Problem
Xijun Hu, Yuwei Ou, Zhiwen Qiao +1
We study the relative periodic orbits in the Gutzwiller-type anisotropic Kepler problem, which is a generalized model derived from the classical Gutzwiller anisotropic Kepler probl…
Relative Periodic Orbits in the Spatial Anisotropic Kepler Problem
Xijun Hu, Yuwei Ou, Zhiwen Qiao
The spatial anisotropic Kepler problem comes from quantum mechanics, which models electron motion in semiconductors with donor impurities and depends on the anisotropic parameter $…
ECH Constraints and Twist Dynamics in the Spatial Isosceles Three-Body Problem
Xijun Hu, Lei Liu, Yuwei Ou +2
We study dynamical constraints arising from Embedded Contact Homology (ECH) in the spatial isosceles three-body problem. For energies below the critical level, the dynamics on the…
Relative periodic solutions in spatial Kepler problem with symmetric perturbation
Xijun Hu, Zhiwen Qiao, Guowei Yu
The spatial Kepler problem with a perturbation satisfying the rotational symmetry w.r.t. the -axis and the reflection symmetry w.r.t. the -plane, can be reduced to an Ha…