A note on the definition of alpha limit set
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F13%3A86087400" target="_blank" >RIV/61989100:27240/13:86087400 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/13:86087400
Result on the web
<a href="http://dx.doi.org/10.12785/amis/070530" target="_blank" >http://dx.doi.org/10.12785/amis/070530</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.12785/amis/070530" target="_blank" >10.12785/amis/070530</a>
Alternative languages
Result language
angličtina
Original language name
A note on the definition of alpha limit set
Original language description
Many phenomena coming from the biology, economy, engineering are modeled using discrete dynamical systems. The concept of backward orbit is an essential concept for understanding the dynamics of the system. In the literature various definitions of the concept of the alpha?limit point (respectively set) have been historically used. The main aim of the paper is to compare the three definitions of the alpha limit set. We prove valid relationships and give relevant counterexamples. Moreover, we find a dynamical system (X,f) such that for any point x in X: (1) its alpha limit set equals to X, (2) there is a complete negative trajectory of x whose alpha limit set is equal to a fixed point, (3) there is a complete negative trajectory of x whose alpha limit set is equal to X.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Information Sciences
ISSN
2325-0399
e-ISSN
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Volume of the periodical
7
Issue of the periodical within the volume
5
Country of publishing house
BH - THE KINGDOM OF BAHRAIN
Number of pages
3
Pages from-to
1929-1932
UT code for WoS article
000324313400030
EID of the result in the Scopus database
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