7 citations · 12 across the 6 of their papers we have counts for
6 papers
iSTAR: an algebraic-collapse framework for variational reduction in quantum-inspired continuous Ising solvers
Bowen Liu, Dongmei Xiao
Continuous Ising solvers embed a discrete optimization problem into a continuous dynamical system and recover the spin configuration by sign readout, but dense interaction evaluati…
Linear stability of the elliptic relative equilibria for the restricted -body problem: the Euler case
Bowen Liu, Qinglong Zhou
In this paper, we consider the elliptic relative equilibria of the restricted -body problems, where the three primaries form an Euler collinear configuration and the four bodies…
Mathematical Mechanism on Dynamical System Algorithms of the Ising Model
Bowen Liu, Kaizhi Wang, Dongmei Xiao +1
Various combinatorial optimization NP-hard problems can be reduced to finding the minimizer of an Ising model, which is a discrete mathematical model. It is an intellectual challen…
Linear Stability of Elliptic Relative Equilibria of Restricted Four-body Problem
Bowen Liu, Qinglong Zhou
In this paper, we consider the linear stability of the elliptic relative equilibria of the restricted 4-body problems where the three primaries form a Lagrangian triangle. By reduc…
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…
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-…