{"?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-ER0BJZXD/429dc9c0-e6e6-4242-8a51-552609a16731/PDF","dcterms:extent":"4578 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-ER0BJZXD/81ff3c99-67b3-48f6-8175-37ade717c7b3/TEXT","dcterms:extent":"29 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-ER0BJZXD","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":"2026","dc:creator":["Barać, Uroš","Gosak, Marko","Mendek, Igor"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:73"},{"@xml:lang":"sl","#text":"str. 16-27"}],"dc:identifier":["ISSN:0473-7466","COBISSID_HOST:278594307","URN:URN:NBN:SI:doc-ER0BJZXD"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"en","#text":"collective motion"},{"@xml:lang":"sl","#text":"Fizika"},{"@xml:lang":"sl","#text":"kolektivno gibanje"},{"@xml:lang":"sl","#text":"nelinearna dinamika"},{"@xml:lang":"en","#text":"nonlinear dynamics"},{"@xml:lang":"sl","#text":"Oscilatorji"},{"@xml:lang":"sl","#text":"rojilatorji"},{"@xml:lang":"sl","#text":"samoorganizacija"},{"@xml:lang":"en","#text":"self-organization"},{"@xml:lang":"sl","#text":"sinhronizacija"},{"@xml:lang":"en","#text":"synchronization"}],"dc:title":{"@xml:lang":"sl","#text":"Rojni oscilatorji: povezava med sinhronizacijo in kolektivnim gibanjem|"},"dc:description":[{"@xml:lang":"sl","#text":"Synchronization and collective motion are among the most recognizable forms of selforganization in nature. From cardiac cells and neural rhythms to swarms of insects and flocks of fish or birds, global, ordered patterns emerge spontaneously from simple local interactions. Although synchronization and collective motion were long studied as separate phenomena, a new class of models, known as swarmalators, unifies them within a single dynamical framework. Swarmalators are agents with internal phase dynamics in which synchronization and collective motion are bidirectionally coupled. Consequently, phase differences influence spatial interactions, while spatial proximity affects the strength of phase synchronization. The purpose of this article is to provide a systematic presentation of the basic mathematical model of swarmalators, their dynamical behavior, and the characteristic collective regimes it exhibits. We explain the role of key terms and parameters of the model and illustrate the diversity of emergent dynamical patterns. In addition to qualitative descriptions, we introduce quantitative order parameters that enable a clear distinction between different dynamical states. The article is intended as a professional overview of an established model that offers valuable insight into self-organized phenomena and serves as a useful starting point for the study of complex and dynamical systems, including in a didactic context"},{"@xml:lang":"sl","#text":"Sinhronizacija in kolektivno gibanje sta med najbolj prepoznavnimi oblikami samoorganizacije v naravi. Od srčnih celic in nevronskih ritmov do rojev žuželk in jat rib ter ptic se kaže, kako iz preprostih lokalnih interakcij nastajajo globalni, urejeni vzorci. Čeprav sta bila pojma sinhronizacije in kolektivnega gibanja dolgo obravnavana ločeno, ju nov razred modelov rojnih oscilatorjev združuje v enotno dinamično ogrodje. Rojni oscilatorji so agenti z notranjo fazno dinamiko, pri katerih sta fazno usklajevanje in prostorsko gibanje dvosmerno sklopljena. Posledično fazna razlika med agenti vpliva na njihovo gibanje po prostoru, prostorska razporeditev pa določa moč faznih interakcij. Namen tega članka je sistematična predstavitev osnovnega matematičnega modela sistema rojnih oscilatorjev, njegovega obnašanja in značilnih kolektivnih dinamičnih režimov. Razložimo pomen ključnih členov in parametrov modela ter ponazorimo pestrost nastajajočih vzorcev. Poleg kvalitativnega opisa uvedemo tudi kvantitativno obravnavo z ureditvenimi parametri, ki omogočajo jasno razločevanje posameznih dinamičnih stanj. Članek je namenjen strokovni predstavitvi uveljavljenega modela, ki ponuja zanimiv vpogled v pojave samoorganizacije ter predstavlja uporabno izhodišče za študij kompleksnih in dinamičnih sistemov, tudi z didaktičnega vidika"}],"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-ER0BJZXD","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-ER0BJZXD"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-ER0BJZXD/429dc9c0-e6e6-4242-8a51-552609a16731/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by-sa/4.0/"},"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-ER0BJZXD/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-ER0BJZXD"}}}}