Local Properties of Entropy for Finite Family of Functions-Reference-Cited by-同舟云学术

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Local Properties of Entropy for Finite Family of Functions

Published:2021-10-01 Issue:1 Volume:78 Page:43-58
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Pawlak Ryszard J.¹

Affiliation:

1. Faculty of Mathematics and Computer Science , University of Łódź , Łódź , POLAND

Abstract

Abstract In this paper we consider the issues of local entropy for a finite family of generators (that generates the semigroup). Our main aim is to show that any continuous function can be approximated by s-chaotic family of generators.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2021-0004

Reference6 articles.

1. [1] ADLER, R. L.—KONHEIM, A. G.—MCANDREW, M. H.: Topological entropy, Trans. Am. Math. Soc. 114 (1965), 309–319.10.1090/S0002-9947-1965-0175106-9

2. [2] ALSEDÁ, L.—LLIBRE, J.—MISIUREWICZ, M.: Combinatorial Dynamics and Entropy in Dimension One, World Sci., 1993.10.1142/1980

3. [3] BIŚ, A.: Entropies of a semigroup of maps, Discrete Contin. Dynam. Syst. 11 (2004), no. (2-3), 639–648.

4. [4] BIŚ, A.—URBAŃSKI, M.: Some remarks on topological entropy of a semigroup of continuous maps, Cubo 8 (2006), 63–71.

5. [5] KOLYADA, S.—SNOHA, L.: Topological entropy of nonautonomous dynamical systems, Random Comput. Dynam. 4 (1996), no. (2-3), 205–233.

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