Limit Cycle Bifurcations of a Cubic Polynomial System via Melnikov Analysis
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@Article{JNMA-6-683,
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 = {http://global-sci.org/intro/article_detail/jnma/23356.html} }
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 -
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.
Peixing Yang & Jiang Yu. (2024). Limit Cycle Bifurcations of a Cubic Polynomial System via Melnikov Analysis.
Journal of Nonlinear Modeling and Analysis. 6 (3).
683-692.
doi:10.12150/jnma.2024.683
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