{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,1,28]],"date-time":"2023-01-28T05:31:55Z","timestamp":1674883915239},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2012,7]]},"abstract":"<jats:p> In this work, we study a system of Kuramoto oscillators with identical frequencies in a Cayley tree. Heterogeneity in the frequency distribution is introduced in the root of the tree, allowing for analytical calculations of the phase evolution. In this work, we study a system of Kuramoto oscillators with identical frequencies in a Cayley tree. Heterogeneity in the frequency distribution is introduced in the root of the tree, allowing for analytical calculations of the phase evolution. This simple case can be regarded as a starting point in order to understand how to extract topological features of the connectivity pattern from the dynamic state of the system, and vice versa, for the general situation of a set of phase oscillators located on a tree-like network. <\/jats:p>","DOI":"10.1142\/s0218127412501611","type":"journal-article","created":{"date-parts":[[2012,8,12]],"date-time":"2012-08-12T22:36:01Z","timestamp":1344810961000},"page":"1250161","source":"Crossref","is-referenced-by-count":1,"title":["PACEMAKERS IN A CAYLEY TREE OF KURAMOTO OSCILLATORS"],"prefix":"10.1142","volume":"22","author":[{"given":"PABLO M.","family":"GLEISER","sequence":"first","affiliation":[{"name":"Centro At\u00f3mico Bariloche, Instituto Balseiro, 8400 R\u00edo Negro, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"LUCE","family":"PRIGNANO","sequence":"additional","affiliation":[{"name":"Departament de F\u00edsica Fonamental, Universitat de Barcelona 08028 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"CONRAD J.","family":"P\u00c9REZ-VICENTE","sequence":"additional","affiliation":[{"name":"Departament de F\u00edsica Fonamental, Universitat de Barcelona 08028 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ALBERT","family":"D\u00cdAZ-GUILERA","sequence":"additional","affiliation":[{"name":"Departament de F\u00edsica Fonamental, Universitat de Barcelona 08028 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,8,12]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.77.137"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2008.09.002"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0500365102"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.80.066120"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-92191-2_17"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.93.254101"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69689-3"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71269-5"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511610905"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755743"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.85.036112"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.73.036218"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0002644"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-22492-2"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127412501611","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T10:31:35Z","timestamp":1565173895000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127412501611"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7]]},"references-count":14,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2012,8,12]]},"published-print":{"date-parts":[[2012,7]]}},"alternative-id":["10.1142\/S0218127412501611"],"URL":"https:\/\/doi.org\/10.1142\/s0218127412501611","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7]]}}}