5 papers
On the Number of Limit Cycles in Generalized Abel Equations with Coefficients Having the Chebyshev Property
Jianfeng Huang, Renhao Tian, Yulin Zhao
This paper concerns the maximum number of limit cycles of generalized Abel differential equations , where and belong to the linear span of a fami…
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 Chebyshev criterion for at most two non-zero limit cycles in Abel equations
Jianfeng Huang, Renhao Tian, Yulin Zhao
In this paper, we investigate the maximum number of limit cycles of the reduced Abel equation on an interval . The Smale-Pugh problem asks whet…
On the study of the limit cycles for a class of population models with time-varying factors
Renhao Tian, Jianfeng Huang, Yulin Zhao
In this paper, we study a class of population models with time-varying factors, represented by one-dimensional piecewise smooth autonomous differential equations. We provide severa…
Maximum number of limit cycles for Abel equation having coefficients with linear trigonometric functions
Xiangqin Yu, Jianfeng Huang, Changjian Liu
This paper devotes to the study of the classical Abel equation , where and are trigonometric polynomials of degree . We are…