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*} wher…