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math.DS2018★ 2 cited
Linear Instability of Elliptic Rhombus Solutions to the Planar Four-body Problem
Bowen Liu
In this paper, we study the linear stability of the elliptic rhombus solutions, which are the Keplerian homographic solution with the rhombus central configurations in the classica…
math.DS2018★ 1 cited
Homographic Solutions of the N-body Generalized Lennard-Jones System
Bowen Liu
In this paper, we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the - and -body problems of the Lennard-…