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

Basic information

Original name

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

Authors

ŠOTOLA, Jakub

Edition

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

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

References:

Discrete and Continuous Dynamical Systems - Series A

Impact factor

Impact factor: 1.143

Marked to be transferred to RIV

Yes

RIV identification code

RIV/47813059:19610/18:A0000032

Organization unit

Mathematical Institute in Opava

Keywords in English

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

Abstract

In the original language

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.

Cite

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, vol. 38, No 10, p. 5119-5128. ISSN 1078-0947. Available from: 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, vol.~38, No~10, p.~5119-5128. ISSN~1078-0947. Available from: https://doi.org/10.3934/dcds.2018225.

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