On the connection between global centers and global injectivity in the plane
Braun, Francisco (Universidade Federal de São Carlos. Departamento de Matemática)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2023
Abstract:	In this note we revisit a result of Sabatini relating global injectivity of polynomial maps to global centers in the plane. We deliver a generalization of this result for C maps defined on connected sets. The shape of the image is taking into account. Here we do not use Hadamard's invertibility theorem.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Ministerio de Economía y Competitividad MTM2013-40998-P European Commission 316338 European Commission 318999
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Centers ; Global injectivity ; Real Jacobian conjecture
Published in:	Differential Equations and Dynamical Systems, (July 2023) , ISSN 0974-6870

DOI: 10.1007/s12591-023-00630-5

Available from: 2024-07-31 Postprint

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles