1 citations · 1 across the 3 of their papers we have counts for
5 papers
Bifurcation of limit cycles in a class of piecewise smooth generalized Abel equations with two asymmetric zones
Haihua Liang, Jianfeng Huang
This paper studies the number of limit cycles, known as the Smale-Pugh problem, for the generalized Abel equation \begin{align*} \frac{dx}{dθ}=A(θ)x^p+B(θ)x^q, \end{align*} where $…
A new Chebyshev criterion and its application to planar differential systems
Jianfeng Huang, Haihua Liang, Xiang Zhang
This paper establishes a new Chebyshev criterion for some family of integrals. By virtue of this criterion we obtain several new Chebyshev families. With the help of these new fami…
Planar Semi-quasi Homogeneous Polynomial differential systems with a given degree
Yuzhou Tian, Haihua Liang
This paper study the planar semi-quasi homogeneous polynomial differential systems (short for PSQHPDS), which can be regard as a generalization of semi-homogeneous and of quasi-hom…
Limit cycles of planar system defined by the sum of two quasi-homogeneous vecter fields
Jianfeng Huang, Haihua Liang
In this paper we consider the limit cycles of the planar system where and are quasi-homogeneous vector f…
A geometric criterion for equation having at most isolated periodic solutions
Jianfeng Huang, Haihua Liang
This paper is devoted to the investigation of generalized Abel equation , where . A solution is called…