Minimal Sets on Graphs and Dendrites-Reference-Cited by-同舟云学术

Minimal Sets on Graphs and Dendrites

Published:2003-07 Issue:07 Volume:13 Page:1721-1725
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Balibrea Francisco¹,Hric Roman²³,Snoha L'ubomír⁴

Affiliation:

1. Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, Aptdo. de Correos 4021, E–30100 Murcia, Spain

2. Institute of Mathematics and Informatics, Matej Bel University, Tajovského 40, SK–974 01 Banská Bystrica, Slovakia

3. Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Avenida Rovisco Pais, P–1049 Lisboa, Portugal

4. Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK–974 01 Banská Bystrica, Slovakia

Abstract

The topological structure of minimal sets of continuous maps on graphs, dendrites and dendroids is studied. A full characterization of minimal sets on graphs and a partial characterization of minimal sets on dendrites are given. An example of a minimal set containing an interval on a dendroid is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127403007576

Reference11 articles.

1. North-Holland Mathematics Studies;Auslander J.,1988

2. Iteration of Rational Functions

3. Lecture Notes in Mathematics;Block L.,1991

4. A nonhomogeneous minimal set

5. Strange triangular maps of the square

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