In this paper we investigate the basic properties of those dynamical systems which are positively expansive on a dense set containing all eventually periodic points and show how the dynamical behavior of these systems fits within the theoretical framework of usual (positive) expansiveness. (c) 2024 Elsevier B.V. All rights reserved.
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Univ Rouen, Normandy Univ, Dept Math, LMRS,UMR 60 85, F-76801 St Etienne, FranceUniv Rouen, Normandy Univ, Dept Math, LMRS,UMR 60 85, F-76801 St Etienne, France
El Abdalaoui, El Houcein
Bonnot, Sylvain
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Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP, BrazilUniv Rouen, Normandy Univ, Dept Math, LMRS,UMR 60 85, F-76801 St Etienne, France
Bonnot, Sylvain
Messaoudi, Ali
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Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Rouen, Normandy Univ, Dept Math, LMRS,UMR 60 85, F-76801 St Etienne, France
Messaoudi, Ali
Sester, Olivier
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Univ Paris Est, UMR 8050, CNRS, UPEMLV, F-77454 Marne La Vallee, FranceUniv Rouen, Normandy Univ, Dept Math, LMRS,UMR 60 85, F-76801 St Etienne, France