@Article{AAM-32-3,
author = {Boulfoul, Amel and Makhlouf, Amar},
title = {Limit Cycles of the Generalized Polynomial Liénard Differential Systems},
journal = {Annals of Applied Mathematics},
year = {2016},
volume = {32},
number = {3},
pages = {221--233},
abstract = {<p style="text-align: justify;">Using the averaging theory of first and second order we study the maximum
number of limit cycles of generalized Liénard differential systems $$\begin{cases} \dot{x}= y + ϵh^1_l
(x) + ϵ^2h^2_l
(x),&nbsp; \\ \dot{y}= −x − ϵ(f^1_n
(x)y^{2p+1}+ g^1_m(x)) + ϵ^2
(f^2_n(x)y^{2p+1}+ g^2_m(x)), \end{cases}$$ which bifurcate from the periodic orbits of the linear center $\dot{x} = y,$ $\dot{y}= −x,$ where $ϵ$ is a small parameter. The polynomials $h^1_l$ and $h^2_l$ have degree $l;$ $f^1_n$ and $f^2_n$ have degree $n;$ and $g^1_m,$ $g^2_m$ have degree $m.$ $p ∈ \mathbb{N}$ and [·] denotes the
integer part function.</p>},
issn = {},
doi = {https://doi.org/2016-AAM-20639},
url = {https://global-sci.com/article/72783/limit-cycles-of-the-generalized-polynomial-lienard-differential-systems}
}