New results on topological dynamics of antitriangular maps

Francisco Balibrea, José S. Cánovas, A. Linero
DOI: https://doi.org/10.4995/agt.2001.3015

Abstract

We present some results concerning the topological dynamics of antitriangular maps, F:X2→ X2 with the formvF(x,y)=(g(y),f(x)), where (X,d) is a compact metric space and f,g : X→ X are continuous maps. We make an special analysis in the case of X = [0,1].


Keywords

Cournot duopoly; Antitriangular; Recurrence; Topological dynamics

Subject classification

54H20; 37B20; 37B10; 37E99

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This journal is a Crossref Cited-by Linking member. This list shows the references that citing the article automatically, if there are. For more information about the system please visit Crossref site

1. On the topology of the chain recurrent set of a dynamical system
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Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt