Symmetric centers on planar cubic differential systems. (August 2020)

• Record Type: Journal Article
• Authors: Dukarić, Maša; Fernandes, Wilker; Oliveira, Regilene
• Is Part Of: Nonlinear analysis. Volume 197(2020)
• Publication Date: 2020-08
• Subjects: 34C05 -- 37C10; Planar polynomial differential systems -- Bi-centers -- Global phase portrait -- Time-reversible systems -- Equivariant systems; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111868
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The main focus of this paper is the investigation of simultaneous existence of centers in symmetric planar polynomial differential systems. There are presented necessary and sufficient conditions for the existence of a bi-center of four families of real cubic symmetric systems. Furthermore, the conditions for the isochronicity of such bi-centers are obtained.