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Mean Dimension and Metric Mean Dimension for Non-autonomous Dynamical Systems

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Abstract

In this paper we extend the definitions of mean dimension and metric mean dimension for non-autonomous dynamical systems. We show some properties of this extension and furthermore some applications to the mean dimension and metric mean dimension of single continuous maps.

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Notes

  1. If r ≥ 1 we assume that X is a Riemannian manifold

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil

    Fagner B. Rodrigues

  2. Facultad de Ciencias Básicas, Universidad Tecnológica de Bolívar, Cartagena de Indias, Colombia

    Jeovanny Muentes Acevedo

Authors
  1. Fagner B. Rodrigues
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  2. Jeovanny Muentes Acevedo
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Correspondence to Fagner B. Rodrigues or Jeovanny Muentes Acevedo.

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Rodrigues, F.B., Acevedo, J.M. Mean Dimension and Metric Mean Dimension for Non-autonomous Dynamical Systems. J Dyn Control Syst 28, 697–723 (2022). https://doi.org/10.1007/s10883-021-09541-6

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  • DOI: https://doi.org/10.1007/s10883-021-09541-6

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