Skip to main content
SpringerLink
Log in

Axiomatic definition of the topological entropy on the interval

  • Original paper
  • Published:
aequationes mathematicae Aims and scope Submit manuscript

Summary.

The aim of this paper is to give an axiomatic definition of the topological entropy for continuous interval maps and, in such a way, to shed some more light on the importance of the different properties of the topological entropy in this setting. We give two closely related axiomatic definitions of topological entropy and an axiomatic characterization of the topological chaos.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Universitat Autònoma de Barcelona, Departament de Matemàtiques, 08193 Cerdanyola del Vallès, Barcelona, Spain, e-mail: alseda@mat.uab.es , , , , , , ES

    Ll. Alsedà

  2. Ukrainian Academy of Sciences, Institute of Mathematics, Tereshchenkivs‚ka 3, 252601 Kiev - 4, Ukraine, e-mail: skolyada@imath.kiev.ua , , , , , , UA

    S. Kolyada

  3. Universitat Autònoma de Barcelona, Departament de Matemàtiques, 08193 Cerdanyola del Vallès, Barcelona, Spain, e-mail: jllibre@mat.uab.es , , , , , , ES

    J. Llibre

  4. Matej Bel University, Department of Mathematics, FPV, Tajovského 40, 974 01 Banská Bystrica, Slovakia, e-mail: snoha@fpv.umb.sk , , , , , , SK

    L. Snoha

Authors
  1. Ll. Alsedà
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Kolyada
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. Llibre
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. Snoha
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: April 17, 2001, revised version: February 12, 2002.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alsedà, L., Kolyada, S., Llibre, J. et al. Axiomatic definition of the topological entropy on the interval. Aequ. math. 65, 113–132 (2003). https://doi.org/10.1007/s000100300008

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000100300008

Search

Navigation