dc.contributor.author
Llibre, Jaume
dc.contributor.author
Rondon Vielma, Gabriel Alexis
dc.identifier
https://ddd.uab.cat/record/303176
dc.identifier
urn:10.1007/s12215-024-01034-2
dc.identifier
urn:oai:ddd.uab.cat:303176
dc.identifier
urn:scopus_id:85191489726
dc.identifier
urn:articleid:19734409v73n5p2141
dc.identifier
urn:gsduab:5783
dc.identifier
urn:oai:egreta.uab.cat:publications/e6fbbb4e-cdf7-4d1e-b2a4-c31adf07b214
dc.description.abstract
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.
dc.format
application/pdf
dc.relation
Agencia Estatal de Investigación PID2019-104658GB-I00
dc.relation
European Commission 777911
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-00113
dc.relation
Rendiconti del Circolo Matematico di Palermo ; Vol. 73, Issue 5 (August 2024), p. 2141-2160
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Global centers
dc.subject
Vertical blow-up
dc.subject
Polynomial differential equations
dc.title
Global centers of a class of cubic polynomial differential systems
