Symmetric centers on planar cubic differential systems

Full text
Author(s):	Dukaric, Masa ^{[1, 2]} ; Fernandes, Wilker ^[3] ; Oliveira, Regilene ^[4] Total Authors: 3
Affiliation:	^[1] Univ Maribor, CAMTP, SI-2000 Maribor - Slovenia ^[2] SSI Schaefer Doo, Meljska Cesta 56, SI-2000 Maribor - Slovenia ^[3] Univ Fed Sao Joao del Rei, Dept Matemat & Estat, BR-36307352 Sao Joao Del Rei, MG - Brazil ^[4] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil Total Affiliations: 4
Document type:	Journal article
Source:	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 197, AUG 2020.
Web of Science Citations:	0
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. (C) 2020 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process:	17/20854-5 - Qualitative theory of ordinary differential equations: integrability, periodic orbits and phase portraits
Grantee:	Regilene Delazari dos Santos Oliveira
Support Opportunities:	Regular Research Grants