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Title:Tranzitivni topološki dinamični sistemi : magistrsko delo
Authors:ID Petek, Renato (Author)
ID Banič, Iztok (Mentor) More about this mentor... New window
Files:.pdf MAG_Petek_Renato_2023.pdf (531,13 KB)
MD5: BCDF9CD956E4F8FE1237B2C6B946A7C4
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V magistrski nalogi podrobno predstavimo nekatere lastnosti dinamičnih sistemov, kot so tranzitivne in intranzitivne točke, tranzitivni dinamični sistemi, tavajoče in ne-tavajoče množice, invariantne množice, omega limitne množice, alfa limitne množice, shift preslikave, topološke konjugacije in vzvratne orbite ter njihove povezave s tranzitivnimi dinamičnimi sistemi.
Keywords:Metrični prostor, kompakten prostor, tranzitivni dinamični sistem, tavajoča množica, tranzitivne in intranzitivne točk
Place of publishing:Maribor
Place of performance:Maribor
Publisher:[R. Petek]
Year of publishing:2023
Number of pages:VIII, 53 str.
PID:20.500.12556/DKUM-84612 New window
UDC:515.124(043.2)
COBISS.SI-ID:159851267 New window
Publication date in DKUM:27.07.2023
Views:683
Downloads:118
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:28.06.2023

Secondary language

Language:English
Title:Transitive topological dynamical systems : študijski program 2. stopnje Matematika
Abstract:In this Master thesis we introduce some properties of dynamical systems, like transitive and intransitive points, transitive dynamical systems, wandering and non-wandering sets, invariant sets, omega limit sets, topological conjugations, shift maps, alpha limit sets, shift maps and present connections between them and transitive dynamical systems.
Keywords:Metric space, compact space, transitive dynamical system, wandering set, transitive and intransitive points.


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