On the Relation of Shadowing and Expansivity in Nonautonomous Discrete Systems

On the Relation of Shadowing and Expansivity in Nonautonomous Discrete Systems

Year:    2017

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 1 : pp. 11–19

Abstract

In this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e., nonautonomous discrete dynamical systems. We investigate the relations of various expansivity properties with shadowing and $h$-shadowing property.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2017.v33.n1.2

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 1 : pp. 11–19

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Shadowing $h$-shadowing locally expanding uniformly weak expanding locally weak expanding.

  1. Shadowing and non-shadowing in dynamical systems

    AL-Yaseen, May Alaa Abdul-khaleq | Hadi, Huda Amer

    PROCEEDINGS OF THE 2020 2ND INTERNATIONAL CONFERENCE ON SUSTAINABLE MANUFACTURING, MATERIALS AND TECHNOLOGIES, (2020), P.020012

    https://doi.org/10.1063/5.0030805 [Citations: 0]
  2. Sensitivity and Chaoticity on Nonautonomous Dynamical Systems

    Li, Nan | Wang, Lidong

    International Journal of Bifurcation and Chaos, Vol. 30 (2020), Iss. 10 P.2050146

    https://doi.org/10.1142/S0218127420501461 [Citations: 5]
  3. Shadowing, limit shadowing and two-sided limit shadowing

    AL-Yaseen, May Alaa Abdul-Khaleq | Zghair, Hayder Kadhim

    Journal of Interdisciplinary Mathematics, Vol. 24 (2021), Iss. 5 P.1133

    https://doi.org/10.1080/09720502.2020.1790745 [Citations: 0]
  4. The equivalent condition of G-asymptotic tracking property and G-Lipschitz tracking property

    Ji, Zhanjiang

    Open Mathematics, Vol. 20 (2022), Iss. 1 P.333

    https://doi.org/10.1515/math-2022-0026 [Citations: 0]