2025-12-302025-12-302025ANACONA, Gerardo H.; FREITAS, Bruno R.; LLIBRE, Jaume. Centers of cubic polynomial differential systems. Communications on Pure and Applied Analysis, Pasadena, v. 24, n. 11, p. 2130-2145, 2025. DOI: 10.3934/cpaa.2025072. Disponível em: https://www.aimsciences.org/article/doi/10.3934/cpaa.2025072. Acesso em: 8 dez. 2025.1534-0392e- 1553-5258https://www.aimsciences.org/article/doi/10.3934/cpaa.2025072An equilibrium point  of a differential system in the plane  is a center if there exists a neighborhood  of  such that  is filled with periodic orbits. A difficult classical problem in the qualitative theory of differential systems in the plane is the problem of distinguishing between a focus and a center. In this paper we characterize when the origin of coordinates is a center of the following cubic polynomial differential systems where  is an arbitrary nonzero monomial of degree 3. Moreover we provide all topologically different phase portraits when .engAcesso RestritoArtigo10.3934/cpaa.2025072