Properties of Dynamical Systems on Dendrites and Graphs

J 2021

Properties of Dynamical Systems on Dendrites and Graphs

KOČAN, Zdeněk, Michal MÁLEK and Veronika KURKOVÁ

Basic information

Original name

Properties of Dynamical Systems on Dendrites and Graphs

Authors

KOČAN, Zdeněk (203 Czech Republic, belonging to the institution), Michal MÁLEK (203 Czech Republic, guarantor, belonging to the institution) and Veronika KURKOVÁ (203 Czech Republic, belonging to the institution)

Edition

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

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Singapore

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

International Journal of Bifurcation and Chaos

RIV identification code

RIV/47813059:19610/21:A0000091

Organization unit

Mathematical Institute in Opava

DOI

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

UT WoS

000662881800018

Keywords in English

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

Abstract

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 and 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, vol. 31, No 7, p. "2150100-1"-"2150100-10", 10 pp. ISSN 0218-1274. Available from: 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 and 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, vol.~31, No~7, p.~''2150100-1''-''2150100-10'', 10 pp. ISSN~0218-1274. Available from: https://dx.doi.org/10.1142/S0218127421501005.

Detailed Information on Publication Record