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

@article{32820,
   author = {Pravec, Vojtěch},
   article_location = {Basel, Switzerland},
   article_number = {3},
   doi = {http://dx.doi.org/10.1007/s12346-018-00311-7},
   keywords = {Triangular maps; Topological entropy; Topological sequence entropy; LY-scrambled triple},
   language = {eng},
   issn = {1575-5460},
   journal = {Qualitative Theory of Dynamical Systems},
   title = {On Dynamics of Triangular Maps of the Square with Zero Topological Entropy},
   url = {https://link.springer.com/article/10.1007%2Fs12346-018-00311-7},
   volume = {18},
   year = {2019}
}

TY  - JOUR
ID  - 32820
AU  - Pravec, Vojtěch
PY  - 2019
TI  - On Dynamics of Triangular Maps of the Square with Zero Topological Entropy
JF  - Qualitative Theory of Dynamical Systems
VL  - 18
IS  - 3
SP  - 761-768
EP  - 761-768
PB  - Springer International Publishing
SN  - 15755460
KW  - Triangular maps
KW  - Topological entropy
KW  - Topological sequence entropy
KW  - LY-scrambled triple
UR  - https://link.springer.com/article/10.1007%2Fs12346-018-00311-7
L2  - https://link.springer.com/article/10.1007%2Fs12346-018-00311-7
N2  - 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.
ER  - 

PRAVEC, Vojtěch. On Dynamics of Triangular Maps of the Square with Zero Topological Entropy. \textit{Qualitative Theory of Dynamical Systems}. Basel, Switzerland: Springer International Publishing, 2019, vol.~18, No~3, p.~761-768. ISSN~1575-5460. Available from: https://dx.doi.org/10.1007/s12346-018-00311-7.