9 citations · 9 across the 4 of their papers we have counts for
3 papers · 1 filter
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…
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…