2 citations · 4 across the 16 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math.DS2021
Further study on Horozov-Iliev's method of estimating the number of limit cycles
Xiaoyan Chen, Maoan Han
In the study of the number of limit cycles of near-Hamiltonian systems, the first order Melnikov function plays an important role. This paper aims to establish a development of a k…
math.DG2021
Riemannian manifolds with entire Grauert tube are rationally elliptic
Xiaoyang Chen
It was conjectured by Bott-Grove-Halperin that a compact simply connected Riemannian manifold with nonnegative sectional curvature is rationally elliptic. We confirm this conje…