{"?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-PW1APNMG/47c7495b-2bf6-4651-a3d6-5b174c9fea75/PDF","dcterms:extent":"3395 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-PW1APNMG/9e954072-7eaf-4067-a0bf-f1c4e3874f2c/TEXT","dcterms:extent":"16 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2026","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2026"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-PW1APNMG","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-FNN1A9OB"},{"@xml:lang":"sl","#text":"Obzornik za matematiko in fiziko"}],"dcterms:issued":"2015","dc:creator":["Lakner, Mitja","Petek, Peter","Škapin-Rugelj, Marjeta"],"dc:format":[{"@xml:lang":"sl","#text":"številka:6"},{"@xml:lang":"sl","#text":"letnik:62"},{"@xml:lang":"sl","#text":"str. 201-209"}],"dc:identifier":["ISSN:0473-7466","COBISSID:17593433","URN:URN:NBN:SI:doc-PW1APNMG"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"en","#text":"chaoticity"},{"@xml:lang":"sl","#text":"hiperbolični avtomorfizmi"},{"@xml:lang":"en","#text":"hyperbolic automorphism"},{"@xml:lang":"sl","#text":"kaotični sistem"},{"@xml:lang":"en","#text":"mapping on the torus"},{"@xml:lang":"sl","#text":"preslikava na torusu"}],"dcterms:temporal":{"@rdf:resource":"2008-2026"},"dc:title":{"@xml:lang":"sl","#text":"Kaotičnost hiperboličnih avtomorfizmov torusa|"},"dc:description":[{"@xml:lang":"sl","#text":"In our previous article M. Lakner, P. Petek, M. Škapin Rugelj, Vrnitev Arnoldove mačke, Obzornik mat. fiz. 62 (2015) 41-52 we defined the hyperbolic automorphism of the torus, returning the rastered image in few steps. Here we consider the mapping on the entire torus and find it is chaotic in the sense of Davaney. Beforehand we get acquainted with tha notion of chaoticity and set up a simple example"},{"@xml:lang":"sl","#text":"Že v prejšnjem članku M. Lakner, P. Petek, M. Škapin Rugelj, Vrnitev Arnoldove mačke, Obzornik mat. fiz. 62 (2015) 41-52 smo definirali hiperbolični avtomorfizem torusa, ki je po nekaj korakih povrnil rastrirano sliko mačke. V tem članku pa si ogledamo preslikavo na celem torusu in ugotovimo, da je kaotična po Devaneyevi definiciji. Še prej pa se seznanimo s pojmom kaotičnega sistema in si ogledamo enostaven primer"}],"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-PW1APNMG","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-PW1APNMG"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-PW1APNMG/47c7495b-2bf6-4651-a3d6-5b174c9fea75/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":"Društvo matematikov, fizikov in astronomov"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-PW1APNMG/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-PW1APNMG"}}}}