On the Number of Limit Cycles Bifurcating from the Linear Center with a Cubic Switching Curve

This paper studies the bifurcations of limit cycles from the system x ˙ = y , y ˙ = - x with the switching curve y = x 3 / 3 - x under the perturbations of arbitrary polynomials of x and y with degree n . We obtain the lower bound and upper bound of the maximum number of limit cycles bifurcating fro...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Qualitative theory of dynamical systems 2024-07, Vol.23 (3), Article 134
Hauptverfasser:	Jia, Ranran, Zhao, Liqin
Format:	Artikel
Sprache:	eng
Schlagworte:	Bifurcations Difference and Functional Equations Dynamical Systems and Ergodic Theory Lower bounds Mathematics Mathematics and Statistics Polynomials Switching Upper bounds
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!