{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,15]],"date-time":"2025-06-15T06:40:03Z","timestamp":1749969603236,"version":"3.41.0"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/501100004837","name":"Ministerio de Ciencia e Innovaci\u00f3n","doi-asserted-by":"publisher","award":["DGICYTMTM2011-23892"],"award-info":[{"award-number":["DGICYTMTM2011-23892"]}],"id":[{"id":"10.13039\/501100004837","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004837","name":"Ministerio de Ciencia e Innovaci\u00f3n","doi-asserted-by":"publisher","award":["DGICYTMTM2011-23892"],"award-info":[{"award-number":["DGICYTMTM2011-23892"]}],"id":[{"id":"10.13039\/501100004837","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003176","name":"Ministerio de Educaci\u00f3n, Cultura y Deporte","doi-asserted-by":"publisher","award":["TIN2014-52211-C2-1-R"],"award-info":[{"award-number":["TIN2014-52211-C2-1-R"]}],"id":[{"id":"10.13039\/501100003176","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2017,1]]},"abstract":"<jats:p>We complete the study of the bifurcations of saddle\/spiral bimodal linear systems, depending on the respective traces [Formula: see text] and [Formula: see text]: one 2-codimensional bifurcation; four kinds of 1-codimensional bifurcations. We stratify the bifurcation set in the [Formula: see text]-plane and we describe the qualitative changes of the dynamical behavior at each bifurcation point.<\/jats:p>","DOI":"10.1142\/s0218127417500055","type":"journal-article","created":{"date-parts":[[2017,2,10]],"date-time":"2017-02-10T09:42:17Z","timestamp":1486719737000},"page":"1750005","source":"Crossref","is-referenced-by-count":1,"title":["Bifurcation Diagram of Saddle\/Spiral Bimodal Linear Systems"],"prefix":"10.1142","volume":"27","author":[{"given":"Josep","family":"Ferrer","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marta","family":"Pe\u00f1a","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antoni","family":"Susin","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2017,2,10]]},"reference":[{"key":"S0218127417500055BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2013.02.007"},{"key":"S0218127417500055BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127408021051"},{"key":"S0218127417500055BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127410027362"},{"key":"S0218127417500055BIB005","doi-asserted-by":"crossref","first-page":"292813","DOI":"10.1155\/2014\/292813","volume":"2014","author":"Ferrer J.","year":"2014","journal-title":"Math. Probl. Eng."},{"key":"S0218127417500055BIB006","doi-asserted-by":"crossref","first-page":"892948","DOI":"10.1155\/2014\/892948","volume":"2014","author":"Ferrer J.","year":"2014","journal-title":"Math. Probl. Eng."},{"key":"S0218127417500055BIB007","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127498001728"},{"key":"S0218127417500055BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00059-0"},{"key":"S0218127417500055BIB009","volume-title":"Nonlinear Systems","author":"Khalil H. K.","year":"2002","edition":"3"},{"key":"S0218127417500055BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2013.02.004"},{"key":"S0218127417500055BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/9.847100"},{"key":"S0218127417500055BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-0396(03)00059-7"},{"key":"S0218127417500055BIB013","first-page":"732321","volume":"2013","author":"Xu B.","year":"2013","journal-title":"Discr. Dyn. Nat. Soc."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127417500055","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,15]],"date-time":"2025-06-15T06:16:05Z","timestamp":1749968165000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127417500055"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":12,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2017,2,10]]},"published-print":{"date-parts":[[2017,1]]}},"alternative-id":["10.1142\/S0218127417500055"],"URL":"https:\/\/doi.org\/10.1142\/s0218127417500055","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}