Title
Stability and expansivity of tent map
Date Issued
01 February 2021
Access level
open access
Resource Type
journal article
Author(s)
Instituto de Matemática y Ciencias Afines
Publisher(s)
American Mathematical Society
Abstract
We discuss the stability and the expansivity of the tent map f: [0, 1] → [0, 1] defined by f(x) = 2 min{x, 1 − x} for 0 ≤ x ≤ 1. Indeed, we show that f is neither topologically stable nor orbit shift topologically stable nor countably-expansive but is cw-topologically stable, orbit shift cw-expansive, and orbit shift α-persistent.
Start page
773
End page
786
Volume
149
Issue
2
Language
English
OCDE Knowledge area
Matemáticas puras
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-85100022388
Source
Proceedings of the American Mathematical Society
ISSN of the container
00029939
Source funding
CONCYTEC y FONDECYT
Source project
Programa Conjunto de Fondos Semilla entre el MIT, CONCYTEC y FONDECYT
Sponsor(s)
Received by the editors February 10, 2020, and, in revised form, May 31, 2020, June 12, 2020, and June 21, 2020. 2010 Mathematics Subject Classification. Primary 37D20; Secondary 37C70. Key words and phrases. Topologically stable, shadowing property, tent map. The third author is the corresponding author. The first author was partially supported by FONDECYT 1181061, Agencia Nacional de Inves-tigación y Desarrollo-ANID, Chile. The second author was partially supported by CNPq-Brazil and the NRF Brain Pool Grant funded by the Korean government 20201220-20211219. The third author was partially supported by Fondecyt-Concytec contract 100-2018.
Sources of information:
Directorio de Producción Científica
Scopus