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The approach allows to calculate the separatrices between the regions with distinct dynamical behavior and to determine the nature of the different transitions to synchronization appearing in the system. The theoretical analysis is supported by numerical results. <\/jats:p>","DOI":"10.1142\/s0218127412501738","type":"journal-article","created":{"date-parts":[[2012,8,13]],"date-time":"2012-08-13T02:36:01Z","timestamp":1344825361000},"page":"1250173","source":"Crossref","is-referenced-by-count":23,"title":["BIFURCATIONS IN A STAR-LIKE NETWORK OF STUART\u2013LANDAU OSCILLATORS"],"prefix":"10.1142","volume":"22","author":[{"given":"MATTIA","family":"FRASCA","sequence":"first","affiliation":[{"name":"Laboratorio sui Sistemi Complessi, Scuola Superiore di Catania, Dipartimento di Ingegneria Elettrica Elettronica e Informatica, Facolt\u00e0 di Ingegneria, Universit\u00e0 degli Studi di Catania, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANDR\u00c9","family":"BERGNER","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Potsdam, 14476 Potsdam, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J\u00dcRGEN","family":"KURTHS","sequence":"additional","affiliation":[{"name":"Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany"},{"name":"Insitute of Physics, Humboldt University, Berlin, Germany"},{"name":"Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB243UE, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"LUIGI","family":"FORTUNA","sequence":"additional","affiliation":[{"name":"Laboratorio sui Sistemi Complessi, Scuola Superiore di Catania, Dipartimento di Ingegneria Elettrica Elettronica e Informatica, Facolt\u00e0 di Ingegneria, Universit\u00e0 degli Studi di Catania, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,8,12]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01034476"},{"key":"rf2","first-page":"4263","volume":"19","author":"Amriktar R. 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