2026-04-14T03:54:38Zhttps://recercat.cat/oai/request

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

Global centers of a class of cubic polynomial differential systems Llibre, Jaume Rondon Vielma, Gabriel Alexis Global centers Vertical blow-up Polynomial differential equations 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. 2024 Article https://ddd.uab.cat/record/303176 urn:10.1007/s12215-024-01034-2 urn:oai:ddd.uab.cat:303176 urn:scopus_id:85191489726 urn:articleid:19734409v73n5p2141 urn:gsduab:5783 urn:oai:egreta.uab.cat:publications/e6fbbb4e-cdf7-4d1e-b2a4-c31adf07b214 eng Agencia Estatal de Investigación PID2019-104658GB-I00 European Commission 777911 Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-00113 Rendiconti del Circolo Matematico di Palermo ; Vol. 73, Issue 5 (August 2024), p. 2141-2160 open access Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets. https://rightsstatements.org/vocab/InC/1.0/ application/pdf