Relationship between Li-Yorke chaos and positive topological
sequence entropy in nonautonomous dynamical systems

J 2018

Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems

ŠOTOLA, Jakub

Základní údaje

Originální název

Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems

Autoři

ŠOTOLA, Jakub

Vydání

Discrete and Continuous Dynamical Systems - Series A, Springfield, American Institute of Mathematical Sciences, 2018, 1078-0947

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Discrete and Continuous Dynamical Systems - Series A

Impakt faktor

Impact factor: 1.143

Označené pro přenos do RIV

Ano

Kód RIV

RIV/47813059:19610/18:A0000032

Organizační jednotka

Matematický ústav v Opavě

Klíčová slova anglicky

Nonautonmous dynamical systems; discrete dynamical systems; Li-Yorke chaos; topological sequence entropy; topological entropy; chaos; topological dynamics

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 9. 4. 2019 17:35, Mgr. Aleš Ryšavý

Anotace

V originále

We study chaotic properties of uniformly convergent nonautonomous dynamical systems. We show that, contrary to the autonomous systems on the compact interval, positivity of topological sequence entropy and occurrence of Li-Yorke chaos are not equivalent, more precisely, neither of the two possible implications is true.

Citovat

ŠOTOLA, Jakub. Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems. Discrete and Continuous Dynamical Systems - Series A. Springfield: American Institute of Mathematical Sciences, 2018, roč. 38, č. 10, s. 5119-5128. ISSN 1078-0947. Dostupné z: https://doi.org/10.3934/dcds.2018225.

@article{30277,
   author = {Šotola, Jakub},
   article_location = {Springfield},
   article_number = {10},
   doi = {https://doi.org/10.3934/dcds.2018225},
   keywords = {Nonautonmous dynamical systems; discrete dynamical systems; Li-Yorke chaos; topological sequence entropy; topological entropy; chaos; topological dynamics},
   language = {eng},
   issn = {1078-0947},
   journal = {Discrete and Continuous Dynamical Systems - Series A},
   title = {Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems},
   url = {http://aimsciences.org//article/doi/10.3934/dcds.2018225},
   volume = {38},
   year = {2018}
}

TY  - JOUR
ID  - 30277
AU  - Šotola, Jakub
PY  - 2018
TI  - Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems
JF  - Discrete and Continuous Dynamical Systems - Series A
VL  - 38
IS  - 10
SP  - 5119-5128
EP  - 5119-5128
PB  - American Institute of Mathematical Sciences
SN  - 10780947
KW  - Nonautonmous dynamical systems
KW  - discrete dynamical systems
KW  - Li-Yorke chaos
KW  - topological sequence entropy
KW  - topological entropy
KW  - chaos
KW  - topological dynamics
UR  - http://aimsciences.org//article/doi/10.3934/dcds.2018225
L2  - http://aimsciences.org//article/doi/10.3934/dcds.2018225
N2  - We study chaotic properties of uniformly convergent nonautonomous dynamical systems. We show that, contrary to the autonomous systems on the compact interval, positivity of topological sequence entropy and occurrence of Li-Yorke chaos are not equivalent, more precisely, neither of the two possible implications is true.
ER  -

ŠOTOLA, Jakub. Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems. \textit{Discrete and Continuous Dynamical Systems - Series A}. Springfield: American Institute of Mathematical Sciences, 2018, roč.~38, č.~10, s.~5119-5128. ISSN~1078-0947. Dostupné z: https://doi.org/10.3934/dcds.2018225.

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