9 citations · 13 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…
Centers and invariant straight lines of planar real polynomial vector fields and its configurations
Hongjin He, Changjian Liu, Dongmei Xiao
In the paper, we first give the least upper bound formula on the number of centers of planar real polynomial Hamiltonian vector fields. This formula reveals that the greater the nu…
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…
Dynamics of epidemic models with asymptomatic infection and seasonal succession
Yilei Tang, Dongmei Xiao, Weinian Zhang +1
In this paper, we consider a compartmental SIRS epidemic model with asymptomatic infection and seasonal succession, which is a periodic discontinuous differential system. The basic…
Hilbert's 16th problem on a period annulus and Nash space of arcs
Jean-Pierre Françoise, Lubomir Gavrilov, Dongmei Xiao
This article introduces an algebro-geometric setting for the space of bifurcation functions involved in the local Hilbert's 16th problem on a period annulus. Each possible bifurcat…
A General Integrable Nonlocal Coupled Nonlinear Schrödinger Equation
Cai-Qin Song, Dong-Mei Xiao, Zuo-Nong Zhu
In this paper, we investigate a general integrable nonlocal coupled nonlinear schrödinger (NLS) system with the the parity-time (PT) symmetry, which contains not only the nonlocal…