Year: 2024
Author: Peixing Yang, Jiang Yu
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.683
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 683–692
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Melnikov functions bifurcations limit cycles.