Orbitally universal centers. (June 2020)

• Record Type: Journal Article
• Authors: Algaba, Antonio; García, Cristóbal; Giné, Jaume; Llibre, Jaume
• Is Part Of: Nonlinear analysis. Volume 195(2020)
• Publication Date: 2020-06
• Subjects: 34C05 -- 34A34 -- 34C14; Center problem -- Universal center -- Orbitally reversible; 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.2020.111746
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we define when a polynomial differential system is orbitally universal and we show the relevance of this notion in the classical center problem, i.e. in the problem of distinguishing between a focus and a center.