6 papers · 1 filter
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 $…
Three elliptic closed characteristics on the non-degenerate compact convex hypersurfaces in R^6
Lu Liu, Yuwei Ou
Let with be any compact convex hypersurface. The stability of closed characteristics has attracted considerable attention in related rese…
Spectral instability of the regular n-gon elliptic relative equilibrium in the planar n-body problem
Yuwei Ou, Yunying Wang
The regular -gon elliptic relative equilibrium (ERE) is a Kepler homographic solution generated by the regular -gon central configuration, and its linear stability depends on…
Quantitative Linear Stability Analysis of Elliptic Relative Equilibria in the Planar N-Body Problem
Xijun Hu, Yuwei Ou, Jiexin Sun
An elliptic relative equilibrium (ERE) is a special solution of the planar -body problem generated by a central configuration. Its linear stability depends on the eccentricity $…
Morse Index for Homothetic motions in the gravitational n-body problem
Yuwei Ou, Alessandro Portaluri
In the gravitation n-body Problem, a homothetic orbit is a special solution of the Newton's Equations of motion, in which each body moves along a straight line through the center o…