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Title:Dinamika enodimenzionalnih sistemov
Authors:ID Grubelnik, Vladimir (Author)
ID Marhl, Marko (Author)
ID Repnik, Robert (Reviewer)
ID Korošak, Dean (Reviewer)
ID Pavlin, Jerneja (Reviewer)
ID Garantini, Mojca (Copy-reader)
Files:URL https://press.um.si/index.php/ump/catalog/book/845
 
.pdf RAZ_Grubelnik_Vladimir_2024.pdf (11,09 MB)
MD5: 87169BF893C0BB49C6C0622D6CCA2837
 
Language:Slovenian
Work type:Higher education textbook
Typology:2.03 - Reviewed University, Higher Education or Higher Vocational Education Textbook
Organization:FNM - Faculty of Natural Sciences and Mathematics
UZUM - University of Maribor Press
Abstract:Učbenik obravnava enodimenzionalne dinamične sisteme z elementarnim pristopom. Cilj je študentom omogočiti boljše razumevanje temeljnih načel dinamike sistemov, kot so določitev stacionarnih stanj, stabilnostna analiza, bifurkacije in dolgoročno obnašanje sistemov. Učbenik je zasnovan predvsem za študente fizike, vendar je uporaben tudi za druge smeri, kjer je matematično modeliranje dinamičnih sistemov del učnega načrta. Vsebinski sklopi učbenika zajemajo osnovne značilnosti dinamičnih sistemov, geometrijski pristop reševanja enodimenzionalnih sistemov, tokove na krožnici, bifurkacije in njihove značilnosti, enodimenzionalne preslikave (mape) ter številne primere enodimenzionalnih sistemov v fiziki, biologiji in kemiji. Primeri so izbrani tako, da študentom pomagajo razvijati intuicijo za dinamiko bolj kompleksnih več dimenzionalnih sistemov, s katerimi se soočajo v vsakdanjem življenju.
Keywords:dinamika sistemov, povratne zanke, stabilnostna analiza, bifurkacije, logistična mapa, kaos
Place of publishing:Maribor
Place of performance:Maribor
Publisher:Univerza v Mariboru, Univerzitetna založba
Year of publishing:2024
Year of performance:2024
PID:20.500.12556/DKUM-87048 New window
ISBN:978-961-286-826-0
UDC:517.93:519.87(075.8)(0.034.2)
COBISS.SI-ID:183933187 New window
DOI:10.18690/um.fnm.1.2024 New window
Publication date in DKUM:13.02.2024
Views:532
Downloads:88
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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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:13.02.2024

Secondary language

Language:English
Title:Dynamics of One-Dimensional Systems
Abstract:The textbook addresses one-dimensional dynamic systems with an elementary approach. The goal is to enable students to better understand the fundamental principles of system dynamics, such as identifying stationary states, stability analysis, bifurcations, and the long-term behavior of systems. The textbook is primarily designed for physics students, but it is also useful for other disciplines where mathematical modeling of dynamic systems is part of the curriculum. The content sections of the textbook cover the basic characteristics of dynamic systems, the geometric approach to solving one-dimensional systems, flows on a circle, bifurcations and their characteristics, one-dimensional mappings (maps), and numerous examples of one-dimensional systems in physics, biology, and chemistry. The examples are selected to help students develop intuition for the dynamics of more complex multi-dimensional systems they encounter in everyday life.
Keywords:system dynamics, feedback loops, stability analysis, bifurcations, logistic map, chaos


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