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
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
Keywords in English
Triangular maps; Topological entropy; Topological sequence entropy; LY-scrambled triple
Tags
International impact, Reviewed
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.
Displayed: 26/12/2024 12:04