3 papers
math.DS2025
Index theory for singular Lagrangian systems and Bessel-type differential operators
Xijun Hu, Alessandro Portaluri, Li Wu
The aim of the present manuscript is to develop an index theory for singular Lagrangian systems, with a particular focus on the important class of singular operators given by Besse…
math.DS2025
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 $…
math.DS2025
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…