@Article{JNMA-2-2,
author = {Lijun, Hong and Lu, Junliang and Xiaochun, Hong},
title = {On the Number of Zeros of Abelian Integrals for a Class of Quadratic Reversible Centers of Genus One},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2020},
volume = {2},
number = {2},
pages = {161--171},
abstract = {<p style="text-align: justify;">In this paper, using the method of Picard-Fuchs equation and Riccati equation, for a class of quadratic reversible centers of genus one, we research the upper bound of the number of zeros of Abelian integrals for the system $(r10)$ under arbitrary polynomial perturbations of degree $n$. Our main result is that the upper bound is $21n − 24 (n ≥ 3)$, and the upper bound
depends linearly on $n$.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2020.161},
url = {https://global-sci.com/article/88006/on-the-number-of-zeros-of-abelian-integrals-for-a-class-of-quadratic-reversible-centers-of-genus-one}
}