J 2019

On Dynamics of Triangular Maps of the Square with Zero Topological Entropy

PRAVEC, Vojtěch

Basic information

Original name

On Dynamics of Triangular Maps of the Square with Zero Topological Entropy

Authors

PRAVEC, Vojtěch (203 Czech Republic, guarantor, belonging to the institution)

Edition

Qualitative Theory of Dynamical Systems, Basel, Switzerland, Springer International Publishing, 2019, 1575-5460

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Switzerland

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/47813059:19610/19:A0000056

Organization unit

Mathematical Institute in Opava

UT WoS

000494890400002

Keywords in English

Triangular maps; Topological entropy; Topological sequence entropy; LY-scrambled triple

Tags

International impact, Reviewed
Změněno: 20/4/2020 16:00, Mgr. Aleš Ryšavý

Abstract

V originále

It is known that, for interval maps, zero topological entropy is equivalent with bounded topological sequence entropy as well as with the non-existence of Li–Yorke scrambled triples. In this paper we answer the question how the situation changes when triangular maps of the unit square are concerned instead of interval maps.