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 - <p style="text-align: justify;">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.</p>