{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,13]],"date-time":"2026-06-13T05:00:05Z","timestamp":1781326805933,"version":"3.54.1"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Ltd","issue":"09","funder":[{"DOI":"10.13039\/501100004901","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de Minas Gerais","doi-asserted-by":"publisher","award":["APQ-00130-13"],"award-info":[{"award-number":["APQ-00130-13"]}],"id":[{"id":"10.13039\/501100004901","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["472321\/2013-7"],"award-info":[{"award-number":["472321\/2013-7"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["88881.030454\/2013-01"],"award-info":[{"award-number":["88881.030454\/2013-01"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["MTM2013-40998-P"],"award-info":[{"award-number":["MTM2013-40998-P"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002943","name":"Departament d'Innovaci\u00f3, Universitats i Empresa, Generalitat de Catalunya","doi-asserted-by":"publisher","award":["2014SGR-568"],"award-info":[{"award-number":["2014SGR-568"]}],"id":[{"id":"10.13039\/501100002943","id-type":"DOI","asserted-by":"publisher"}]},{"name":"European Community Project","award":["FP7-PEOPLE-2012-IRSES 318999"],"award-info":[{"award-number":["FP7-PEOPLE-2012-IRSES 318999"]}]},{"name":"European Community Project","award":["FP7-PEOPLE-2012-IRSES 316338"],"award-info":[{"award-number":["FP7-PEOPLE-2012-IRSES 316338"]}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["88881.030454\/2013--01"],"award-info":[{"award-number":["88881.030454\/2013--01"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004901","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de Minas Gerais","doi-asserted-by":"publisher","award":["APQ-00130-13"],"award-info":[{"award-number":["APQ-00130-13"]}],"id":[{"id":"10.13039\/501100004901","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["472321\/2013-7"],"award-info":[{"award-number":["472321\/2013-7"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["301758\/2012-3"],"award-info":[{"award-number":["301758\/2012-3"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004901","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de Minas Gerais","doi-asserted-by":"publisher","award":["PPM-00516-15"],"award-info":[{"award-number":["PPM-00516-15"]}],"id":[{"id":"10.13039\/501100004901","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["88881.030454\/2013-01"],"award-info":[{"award-number":["88881.030454\/2013-01"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,8]]},"abstract":"<jats:p> We study polynomial vector fields of arbitrary degree in [Formula: see text] with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore, we analyze when these invariant meridians and parallels can be limit cycles. <\/jats:p>","DOI":"10.1142\/s0218127416501601","type":"journal-article","created":{"date-parts":[[2016,8,30]],"date-time":"2016-08-30T05:32:56Z","timestamp":1472535176000},"page":"1650160","source":"Crossref","is-referenced-by-count":5,"title":["When Parallels and Meridians are Limit Cycles for Polynomial Vector Fields on Quadrics of Revolution in the Euclidean 3-Space"],"prefix":"10.1142","volume":"26","author":[{"given":"Fabio Scalco","family":"Dias","sequence":"first","affiliation":[{"name":"Instituto de Matem\u00e1tica e Computa\u00e7\u00e3o, Universidade Federal de Itajub\u00e1, Avenida BPS 1303, Pinheirinho, CEP 37.500-903, Itajub\u00e1, MG, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jaume","family":"Llibre","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Barcelona, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Luis Fernando","family":"Mello","sequence":"additional","affiliation":[{"name":"Instituto de Matem\u00e1tica e Computa\u00e7\u00e3o, Universidade Federal de Itajub\u00e1, Avenida BPS 1303, Pinheirinho, CEP 37.500-903, Itajub\u00e1, MG, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2016,8,30]]},"reference":[{"key":"S0218127416501601BIB001","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.2007.229.63"},{"key":"S0218127416501601BIB002","doi-asserted-by":"publisher","DOI":"10.1006\/hmat.1998.2194"},{"key":"S0218127416501601BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2003.10.008"},{"key":"S0218127416501601BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/BF02874668"},{"key":"S0218127416501601BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2009.11.023"},{"key":"S0218127416501601BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2010.06.009"},{"key":"S0218127416501601BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulsci.2010.06.005"},{"key":"S0218127416501601BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-013-9315-4"},{"key":"S0218127416501601BIB010","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127415500157"},{"key":"S0218127416501601BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-97149-5"},{"key":"S0218127416501601BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2011.06.008"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416501601","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,1]],"date-time":"2019-10-01T19:33:57Z","timestamp":1569958437000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416501601"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8]]},"references-count":11,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2016,8,30]]},"published-print":{"date-parts":[[2016,8]]}},"alternative-id":["10.1142\/S0218127416501601"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416501601","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8]]}}}