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Uporaba analize časovnih vrst pri fizikalnem eksperimentalnem delu : magistrsko deloKodba, StaneNaloga obravnava analizo dinamike sistemov na osnovi eksperimentalnih merjenj. Problem, ki ga rešujemo, je rekonstrukcija večdimenzionalnega atraktorja v faznem prostoru. Rekonstruiramo ga na osnovi ... merjenja ene same spremenljivke eksperimentalnega sistema z metodami nelinearne analize časovnih vrst. Obravnavamo dinamiko dveh oscilatornih eksperimentalnih sistemov, za katera ugotovimo, da sta kaotična. Rekonstrukcija kaotičnega atraktorja je opravljena postopoma. Najprej določimo sistemska parametra za rekonstrukcijo atraktorja v faznem prostoru. Prvi parameter je časovni zamik za rekonstukcijo faznega prostora, ki ga določimo z metodo vzajemne informacije. Drugi parameter, dimenzija faznega prostora, je določen z metodo napačnih najbližjih sosedov. Z izračunanimi sistemskimi parametri je opravljen deterministični test, s katerim ugotavljamo, če časovna vrsta izvira iz determinističnega dinamičnega sistema. Kaotičnost sistema testiramo z Lyapunovimi eksponenti. Izbrana in obravnavana eksperimenta sta razmeroma preprosta oscilatorna sistema. Izbrana sta tako, da ju je mogoče uporabiti v izobraževalne namene. Posebej razvita in dodana ter širše uporabna programska orodja, predlagani senzorji in računalniški vmesnik so namenjeni implementaciji metod za analizo časovnih vrst pri fizikalnem eksperimentalnem delu. Rezultati analize dinamike sistemov so v nalogi predstavljeni ob eksperimentih. Podrobnejša navodila za delo s programskimi orodji so podana na koncu naloge.Type of material - master's thesis ; adult, seriousPublication and manufacture - Maribor : [S. Kodba], 2006Language - slovenianCOBISS.SI-ID - 228040960
Author
Kodba, Stane
Other authors
Marhl, Marko
Topics
fizika |
dinamični sistemi |
kaos |
analiza časovnih vrst |
magistrske naloge |
kaotični dinamični sistemi |
analiza nelinearnih časovnih vrst
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Skladišče II 0000063836 Skladišče II 63836 |
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Kodba, Stane | ![]() |
Marhl, Marko | 13159 |
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