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math.DS2026
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…
math.DS2026
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 $…
math.DS2026
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 resea…