{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:44:43Z","timestamp":1760784283840},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","funder":[{"name":"FP7","award":["FP7-PEOPLE-2012-IRSES-316338"],"award-info":[{"award-number":["FP7-PEOPLE-2012-IRSES-316338"]}]},{"name":"FP7","award":["FP7-PEOPLE-2012-IRSES-316338"],"award-info":[{"award-number":["FP7-PEOPLE-2012-IRSES-316338"]}]},{"name":"FP7","award":["FP7-PEOPLE-2012-IRSES-316338"],"award-info":[{"award-number":["FP7-PEOPLE-2012-IRSES-316338"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2017,5]]},"abstract":"<jats:p> We study the Hopf and the fold\u2013Hopf bifurcations of the R\u00f6ssler-type differential system [Formula: see text] with [Formula: see text]. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold\u2013Hopf bifurcation, which here is studied using the averaging theory. Our results show that a Hopf bifurcation takes place at the equilibrium [Formula: see text] when [Formula: see text]. This Hopf bifurcation becomes a fold\u2013Hopf bifurcation when [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218127417500687","type":"journal-article","created":{"date-parts":[[2017,6,9]],"date-time":"2017-06-09T08:58:50Z","timestamp":1496998730000},"page":"1750068","source":"Crossref","is-referenced-by-count":8,"title":["Degenerate Fold\u2013Hopf Bifurcations in a R\u00f6ssler-Type System"],"prefix":"10.1142","volume":"27","author":[{"given":"G.","family":"Tigan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Politehnica University of Timisoara, Romania"}]},{"given":"J.","family":"Llibre","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, Catalonia, Spain"}]},{"given":"L.","family":"Ciurdariu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Politehnica University of Timisoara, Romania"}]}],"member":"219","published-online":{"date-parts":[[2017,6,9]]},"reference":[{"key":"S0218127417500687BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127498001583"},{"key":"S0218127417500687BIB002","doi-asserted-by":"publisher","DOI":"10.4236\/jamp.2013.17005"},{"key":"S0218127417500687BIB003","doi-asserted-by":"publisher","DOI":"10.1002\/mma.3365"},{"key":"S0218127417500687BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2421-9"},{"key":"S0218127417500687BIB005","first-page":"49","volume":"24","author":"Llibre J.","year":"2014","journal-title":"Roman. Astron. J."},{"key":"S0218127417500687BIB006","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2014.19.1731"},{"key":"S0218127417500687BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(76)90101-8"},{"key":"S0218127417500687BIB008","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2017091"},{"key":"S0218127417500687BIB009","series-title":"Universitext","volume-title":"Nonlinear Differential Equations and Dynamical Systems","author":"Verhulst F.","year":"1991"},{"key":"S0218127417500687BIB010","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741650125X"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127417500687","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:52:21Z","timestamp":1565149941000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127417500687"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5]]},"references-count":10,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2017,6,9]]},"published-print":{"date-parts":[[2017,5]]}},"alternative-id":["10.1142\/S0218127417500687"],"URL":"https:\/\/doi.org\/10.1142\/s0218127417500687","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5]]}}}