1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2020★ 1 cited
New lower bound for the number of critical periods for planar polynomial systems
Xiuli Cen
In this paper, we construct two classes of planar polynomial Hamiltonian systems having a center at the origin, and obtain the lower bounds for the number of critical periods for t…
math.DS2019
On the Stability of Symmetric Periodic Orbits of the Elliptic Sitnikov Problem
Xiuli Cen, Xuhua Cheng, Zaitang Huang +1
Motivated by the recent works on the stability of symmetric periodic orbits of the elliptic Sitnikov problem, for time-periodic Newtonian equations with symmetries, we will study s…
math.CA2017
Limit cycles by perturbing quadratic isochronous centers inside piecewise smooth polynomial differential systems
Xiuli Cen, Lijun Yang, Meirong Zhang
In the present paper, we study the number of zeros of the first order Melnikov function for piecewise smooth polynomial differential system, to estimate the number of limit cycles…