2 papers
math.DS2026
On the cyclicity of the period annulus of quasi-homogeneous polynomial vector fields
Lubomir Gavrilov, Hongjin He, Dongmei Xiao
In this article, we study the number of limit cycles, bifurcating from the period annulus of any quasi-homogeneous polynomial vector fields with a center, under a one-parameter pol…
math.DS2025
Linear multiplicative noise destroys a two-dimensional attractive compact manifold of three-dimensional Kolmogorov systems
Dongmei Xiao, Shengnan Yin, Chenwan Zhou
In the paper we first characterize three-dimensional Kolmogorov systems possessing a two-dimensional invariant sphere in , then establish a global attracting criterio…