2026-04-17T06:02:36Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4786192025-10-05T13:21:57Zcom_2072_98col_2072_378192

00925njm 22002777a 4500 dc Llibre, Jaume author Rondon Vielma, Gabriel Alexis author 2024 A difficult classical problem in the qualitative theory of differential systems in the plane R is the center-focus problem, i.e. to distinguish between a focus and a center. Another difficult problem is to distinguish inside a family of centers the ones which are global. A global center is a center p such that R\{p} is filled with periodic orbits. In this paper we classify the global centers of the family of real polynomial differential systems of degree 3 that in complex notation write (Formula presented.) where w = x + iy and A ∈ C for k = 3, 4, 5, 6. Global centers Vertical blow-up Polynomial differential equations Global centers of a class of cubic polynomial differential systems