@Article{JNMA-6-3, author = {Yang, Peixing and Yu, Jiang}, title = {Limit Cycle Bifurcations of a Cubic Polynomial System via Melnikov Analysis}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {3}, pages = {683--692}, abstract = {

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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.683}, url = {https://global-sci.com/article/91175/limit-cycle-bifurcations-of-a-cubic-polynomial-system-via-melnikov-analysis} }