On the Uniqueness of Limit Cycles in Codimension Two Bifurcations
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@Article{JNMA-6-514,
author = {Han , Maoan},
title = {On the Uniqueness of Limit Cycles in Codimension Two Bifurcations},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {3},
pages = {514--525},
abstract = {
In this paper we present a survey on the uniqueness of limit cycles bifurcating from a center, homoclinic loop or a heterclinic loop in planar systems, introducing five bifurcation theorems, and then apply the theorems to the study of codimension two bifurcations, obtaining a complete analysis on the uniqueness of limit cycles.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.514}, url = {http://global-sci.org/intro/article_detail/jnma/23347.html} }
TY - JOUR
T1 - On the Uniqueness of Limit Cycles in Codimension Two Bifurcations
AU - Han , Maoan
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 514
EP - 525
PY - 2024
DA - 2024/08
SN - 6
DO - http://doi.org/10.12150/jnma.2024.514
UR - https://global-sci.org/intro/article_detail/jnma/23347.html
KW - Uniqueness, limit cycle, bifurcation, codimension two.
AB -
In this paper we present a survey on the uniqueness of limit cycles bifurcating from a center, homoclinic loop or a heterclinic loop in planar systems, introducing five bifurcation theorems, and then apply the theorems to the study of codimension two bifurcations, obtaining a complete analysis on the uniqueness of limit cycles.
Maoan Han. (2024). On the Uniqueness of Limit Cycles in Codimension Two Bifurcations.
Journal of Nonlinear Modeling and Analysis. 6 (3).
514-525.
doi:10.12150/jnma.2024.514
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