Omega limits, prolongational limits and almost periodic points of a continuous flow via exterior spaces

  1. Calcines, J.M.G. 1
  2. Paricio, L.J.H. 2
  3. Rodríguez, M.T.R. 2
  1. 1 Universidad de La Laguna
    info

    Universidad de La Laguna

    San Cristobal de La Laguna, España

    ROR https://ror.org/01r9z8p25

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Glasnik Matematicki

ISSN: 0017-095X

Year of publication: 2017

Volume: 52

Issue: 2

Pages: 295-329

Type: Article

DOI: 10.3336/GM.52.2.09 SCOPUS: 2-s2.0-85032303947 WoS: WOS:000416905500008 GOOGLE SCHOLAR

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Abstract

In this paper we analyse some applications of the category of exterior spaces to the study of dynamical systems (flows). The limit space and end space of an exterior space are used to construct different types of limit spaces and end spaces of a dynamical system. In this work we analyse the relationships between the notions and constructions given by the exterior structures of a continuous flow and the more usual notions of omega-limits, first prolongational limits and several types of almost periodic points (Poisson-stable points, non-wandering points) of a flow. © 2017, University of Zagreb. All rights reserved.