@Article{JNMA-6-218,
author = {Yu , QiuliHe , Houmeihan , Yuangen Z and Hong , Xiaochun},
title = {Upper Bound of the Number of Zeros for Abelian Integrals in a Kind of Quadratic Reversible Centers of Genus One},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {1},
pages = {218--227},
abstract = {<p style="text-align: justify;">By using the methods of Picard-Fuchs equation and Riccati equation, we study the upper bound of the number of zeros for Abelian integrals
in a kind of quadratic reversible centers of genus one under polynomial perturbations of degree $n.$ We obtain that the upper bound is $7[(n − 3)/2] + 5$ when $n ≥ 5, 8$ when $n = 4, 5$ when $n = 3, 4$ when $n = 2,$ and $0$ when $n = 1$ or $n = 0,$ which linearly depends on $n.$</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.218},
url = {http://global-sci.org/intro/article_detail/jnma/22977.html}
}