@Article{JNMA-6-3, author = {Maoan, Han}, 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 = {https://global-sci.com/article/91166/on-the-uniqueness-of-limit-cycles-in-codimension-two-bifurcations} }