Comment on: "Centers of quasi-homogeneous polynomial planar systems" [Nonlinear Anal. RWA 13 (2012) 419]. (October 2017)

• Record Type: Journal Article
• Authors: Rahimabadi, A.; Taghirad, H.D.
• Is Part Of: Nonlinear analysis. Volume 37(2017)
• Page Start: 213
• Page End: 216
• Publication Date: 2017-10
• Subjects: Quasi-homogeneous -- Center problem -- Monodromy -- Reversibility -- Integrability; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.01.008
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We describe a counter-example which shows that ( 2 ) of theorem ( 11 ) in Algaba et al. (2012) is not correct. This part of the theorem, pinpoints whether the origin of quasi-homogeneous system ( 15 ) in Algaba et al. (2012) is a center or not. It is shown in this note that the given necessary and sufficient conditions of theorem ( 11 ), in Algaba et al. (2012) are not complete.