Year: 2024
Author: Maoan Han
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.514
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 514–525
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Uniqueness limit cycle bifurcation codimension two.