Properties of Dynamical Systems on Dendrites and Graphs

J 2021

Properties of Dynamical Systems on Dendrites and Graphs

KOČAN, Zdeněk, Michal MÁLEK a Veronika KURKOVÁ

Základní údaje

Originální název

Properties of Dynamical Systems on Dendrites and Graphs

Autoři

KOČAN, Zdeněk (203 Česká republika, domácí), Michal MÁLEK (203 Česká republika, garant, domácí) a Veronika KURKOVÁ (203 Česká republika, domácí)

Vydání

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Singapore, World Scientific Publishing Co. Pte Ltd, 2021, 0218-1274

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Singapur

Utajení

není předmětem státního či obchodního tajemství

Odkazy

International Journal of Bifurcation and Chaos

Kód RIV

RIV/47813059:19610/21:A0000091

Organizační jednotka

Matematický ústav v Opavě

DOI

http://dx.doi.org/10.1142/S0218127421501005

UT WoS

000662881800018

Klíčová slova anglicky

Topological entropy; horseshoe; homoclinic trajectory; omega-limit set; recurrent points; Lyapunov stability; dendrite; graph; tree

Štítky

MÚ

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 29. 3. 2022 09:34, Mgr. Aleš Ryšavý

Anotace

V originále

In this paper, we consider fourteen dynamical properties, provide new results and survey all the relations among the properties for the case of graph maps and all known relations for the case of dendrite maps.

Citovat

KOČAN, Zdeněk, Michal MÁLEK a Veronika KURKOVÁ. Properties of Dynamical Systems on Dendrites and Graphs. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. Singapore: World Scientific Publishing Co. Pte Ltd, 2021, roč. 31, č. 7, s. "2150100-1"-"2150100-10", 10 s. ISSN 0218-1274. Dostupné z: https://dx.doi.org/10.1142/S0218127421501005.

@article{51544,
   author = {Kočan, Zdeněk and Málek, Michal and Kurková, Veronika},
   article_location = {Singapore},
   article_number = {7},
   doi = {http://dx.doi.org/10.1142/S0218127421501005},
   keywords = {Topological entropy; horseshoe; homoclinic trajectory; omega-limit set; recurrent points; Lyapunov stability; dendrite; graph; tree},
   language = {eng},
   issn = {0218-1274},
   journal = {International Journal of Bifurcation and Chaos in Applied Sciences and Engineering},
   title = {Properties of Dynamical Systems on Dendrites and Graphs},
   url = {http://www.worldscientific.com/doi/abs/10.1142/S0218127421501005},
   volume = {31},
   year = {2021}
}

TY  - JOUR
ID  - 51544
AU  - Kočan, Zdeněk - Málek, Michal - Kurková, Veronika
PY  - 2021
TI  - Properties of Dynamical Systems on Dendrites and Graphs
JF  - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
VL  - 31
IS  - 7
SP  - "2150100-1"-"2150100-10"
EP  - "2150100-1"-"2150100-10"
PB  - World Scientific Publishing Co. Pte Ltd
SN  - 02181274
KW  - Topological entropy
KW  - horseshoe
KW  - homoclinic trajectory
KW  - omega-limit set
KW  - recurrent points
KW  - Lyapunov stability
KW  - dendrite
KW  - graph
KW  - tree
UR  - http://www.worldscientific.com/doi/abs/10.1142/S0218127421501005
N2  - In this paper, we consider fourteen dynamical properties, provide new results and survey all the relations among the properties for the case of graph maps and all known relations for the case of dendrite maps.
ER  -

KOČAN, Zdeněk, Michal MÁLEK a Veronika KURKOVÁ. Properties of Dynamical Systems on Dendrites and Graphs. \textit{International Journal of Bifurcation and Chaos in Applied Sciences and Engineering}. Singapore: World Scientific Publishing Co. Pte Ltd, 2021, roč.~31, č.~7, s.~''2150100-1''-''2150100-10'', 10 s. ISSN~0218-1274. Dostupné z: https://dx.doi.org/10.1142/S0218127421501005.

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