Minimal Sets of Antitriangular Maps

Author:

Balibrea F.1,Linero A.1,Canovas J. S.2

Affiliation:

1. Departamento de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain

2. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30203 Cartagena, Spain

Abstract

We consider the class of two-dimensional maps of the form F(x,y) = (g(y),f(x)), (x,y) ∈ [0,1] × [0,1] = I2, where f and g are continuous interval maps. The paper deals with the structure of minimal sets for this class of maps. We give a complete description of finite minimal sets and prove some partial results concerning the infinite case.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

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