{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-AW9EZL0V/66397855-dda2-4b8d-9da4-3b5ee0606c38/HTML","dcterms:extent":"59 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-AW9EZL0V/0efcad29-2182-4af5-a390-ebda31ea0d77/PDF","dcterms:extent":"407 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-AW9EZL0V/372b9a60-403f-4805-a3c7-f18e14611596/TEXT","dcterms:extent":"62 KB"}],"edm:TimeSpan":{"@rdf:about":"1999-2025","edm:begin":{"@xml:lang":"en","#text":"1999"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-AW9EZL0V","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-6QOUKQ9A"},{"@xml:lang":"sl","#text":"Strojniški vestnik"}],"dcterms:issued":"2003","dc:creator":"Pušenjak, Rudi","dc:format":[{"@xml:lang":"sl","#text":"15 strani"},{"@xml:lang":"sl","#text":"letnik:49"},{"@xml:lang":"sl","#text":"številka:7/8"},{"@xml:lang":"sl","#text":"str. 370-384"}],"dc:identifier":["ISSN:0039-2480","COBISSID:8489750","URN:URN:NBN:SI:doc-AW9EZL0V"],"dc:language":["en","sl"],"dc:publisher":[{"@xml:lang":"sl","#text":"Association of Mechanical Engineers and Technicians of Slovenia et al."},{"@xml:lang":"sl","#text":"Zveza strojnih inženirjev in tehnikov Slovenije et al."}],"dc:subject":[{"@xml:lang":"sl","#text":"dinamični sistemi"},{"@xml:lang":"sl","#text":"metoda koračnega harmonskega ravnovesja"},{"@xml:lang":"sl","#text":"nelinearni sistemi"},{"@xml:lang":"sl","#text":"nihanje"},{"@xml:lang":"sl","#text":"razvejitveni diagrami"},{"@rdf:resource":"http://www.wikidata.org/entity/Q638328"}],"dcterms:temporal":{"@rdf:resource":"1999-2025"},"dc:title":{"@xml:lang":"sl","#text":"Razvejitve pri Van der Pol-Duffingovem nihalu| Bifurcations of the Van der Pol-Duffing oscillator|"},"dc:description":[{"@xml:lang":"sl","#text":"The incremental harmonic balance method has proved to be an efficient tool for computing periodic oscillations in the analysis of nonlinear dynamical systems. It was developed into a form that enables the computing of steady-state periodic response with a dependence on various variable parameters. When the bifurcation process follows a sequence of period doublings, than the periodic response is composed of subharmonic solution of higher orders. When no more subharmonic solutions exist in the process of periodic doublings, than the periodic response becomes chaotic. The changing of the amplitudes of the periodic oscillation in dependence of the variable system parameters and the possible transition into chaos is shown in bifurcation diagrams. A general procedure for the construction of a bifurcation diagram is the used in van der Pol-Duffing oscillator for various kinds of parameters. It is proved that the van der Pol-Duffing oscillator processes, various kind of bifurcations, which can be analyzed by using suitable strategies"},{"@xml:lang":"sl","#text":"Metoda končnega harmonskega ravnovesja se je izkazala za učinkovito orodje pri računanju periodičnih nihanj v analizi nelinearnih dinamičnih sistemov. Razvili smo jo v obliko, ki omogoča izračun ustaljenega periodičnega odziva v odvisnosti od različnih spremenljivih parametrov. Kadar razvejitveni postopek sledi zaporedju podvojitev period, je periodični odziv sestavljen iz subharmoničnih rešitev višjih stopenj. Ko v postopku podvojitev period ne obstajajo več nobene subharmonične rešitve, se periodični odziv spremeni v kaotičnega. Spreminjanje amplitud periodičnega nihanja v odvisnosti od spremenljivih parametrov sistema in s tem možen prehod v kaos prikazujemo v razvejitvenih diagramih. Splošni postopek konstrukcije razvejitvenega diagrama je uporabljen pri van der Pol-Duffingovem nihalu za različne vrste parametrov. Izkaže se, da se pri van der Pol-Duffingovem nihalu pojavi vrsta različnih razvejitev, ki jih je mogoče analizirati le z uporabo ustreznih strategij"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-AW9EZL0V","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-AW9EZL0V"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-AW9EZL0V/0efcad29-2182-4af5-a390-ebda31ea0d77/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza v Ljubljani, Fakulteta za strojništvo"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-AW9EZL0V/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-AW9EZL0V"}}}}