Xijun Hu

activity

20072023

most citedTrace formula for linear Hamiltonian systems with its applications to elliptic Lagrangian solutions

32 citations · 94 across the 28 of their papers we have counts for

collaborators

Showing 2019 · math.DSShow all

3 papers · 2 filters

math.DS2019★ 1 cited

An Index Theory for Collision, Parabolic and Hyperbolic Solutions of the Newtonian $n$ -body Problem

Xijun Hu, Yuwei Ou, Guowei Yu

In the Newtonian $n$ -body problem for solutions with arbitrary energy, which start and end either at a total collision or a parabolic/hyperbolic infinity, we prove some basic resul…

math.DS2019★ 2 cited

Morse index and stability of the planar N-vortex problem

Xijun Hu, Alessandro Portaluri, Qin Xing

This paper concerns the investigation of the stability properties of relative equilibria which are rigidly rotating vortex configurations sometimes called vortex crystals, in the N…

math.DS2019★ 9 cited

Linear stability of the elliptic relative equilibrium with $(1 + n)$ -gon central configurations in planar $n$ -body problem

Xijun Hu, Yiming Long, Yuwei Ou

We study the linear stability of $(1 + n)$ -gon elliptic relative equilibrium (ERE for short), that is the Kepler homographic solution with the $(1 + n)$ -gon central configurations. We…

An Index Theory for Collision, Parabolic and Hyperbolic Solutions of the Newtonian n-body Problem

Morse index and stability of the planar N-vortex problem

Linear stability of the elliptic relative equilibrium with (1+n)-gon central configurations in planar n-body problem

An Index Theory for Collision, Parabolic and Hyperbolic Solutions of the Newtonian $n$ -body Problem

Linear stability of the elliptic relative equilibrium with $(1 + n)$ -gon central configurations in planar $n$ -body problem