TY - JOUR
T1 - Limit Cycle Bifurcations of a Cubic Polynomial System via Melnikov Analysis
AU - Yang , Peixing
AU - Yu , Jiang
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 683
EP - 692
PY - 2024
DA - 2024/08
SN - 6
DO - http://doi.org/10.12150/jnma.2024.683
UR - https://global-sci.org/intro/article_detail/jnma/23356.html
KW - Melnikov functions, bifurcations, limit cycles.
AB - <p style="text-align: justify;">In this paper, a linear perturbation up to any order in $\epsilon$ for a cubic
center with a multiple line of critical points is considered. By the algorithm
of any order Melnikov function, the sharp upper bound of the number of limit
cycles is 2.</p>