{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,25]],"date-time":"2025-07-25T10:43:54Z","timestamp":1753440234524,"version":"3.37.3"},"reference-count":30,"publisher":"World Scientific Pub Co Pte Ltd","issue":"16","funder":[{"DOI":"10.13039\/501100007601","name":"Horizon 2020","doi-asserted-by":"publisher","award":["777911"],"award-info":[{"award-number":["777911"]}],"id":[{"id":"10.13039\/501100007601","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2020,12,30]]},"abstract":"<jats:p>Degenerate Chenciner bifurcation in generic discrete-time dynamical systems is studied in this work. While the nondegenerate Chenciner bifurcation can be described by two bifurcation diagrams, the degeneracy we studied in this work gives rise to 32 different bifurcation diagrams.<\/jats:p>","DOI":"10.1142\/s0218127420502454","type":"journal-article","created":{"date-parts":[[2020,12,30]],"date-time":"2020-12-30T09:16:23Z","timestamp":1609319783000},"page":"2050245","source":"Crossref","is-referenced-by-count":5,"title":["Analysis of Degenerate Chenciner Bifurcation"],"prefix":"10.1142","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7083-4666","authenticated-orcid":false,"given":"G.","family":"Tigan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Lugojan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L.","family":"Ciurdariu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,12,28]]},"reference":[{"volume-title":"An Introduction to Dynamical Systems","year":"1990","author":"Arrowsmith D.","key":"S0218127420502454BIB001"},{"key":"S0218127420502454BIB002","doi-asserted-by":"crossref","first-page":"1283","DOI":"10.1088\/0951-7715\/20\/5\/012","volume":"20","author":"Baesens C.","year":"2007","journal-title":"Nonlinearity"},{"key":"S0218127420502454BIB003","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/j.cam.2019.06.005","volume":"363","author":"Biswas M.","year":"2020","journal-title":"J. Comput. Appl. Math."},{"key":"S0218127420502454BIB004","doi-asserted-by":"crossref","first-page":"2161","DOI":"10.1088\/0951-7715\/22\/9\/007","volume":"22","author":"Broer H. W.","year":"2009","journal-title":"Nonlinearity"},{"key":"S0218127420502454BIB005","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/BF01388549","volume":"80","author":"Chenciner A.","year":"1985","journal-title":"Invent. Math."},{"key":"S0218127420502454BIB006","first-page":"623","volume":"305","author":"Chenciner A.","year":"1987","journal-title":"C. R. Acad. Sci. Paris Ser. I Math."},{"key":"S0218127420502454BIB007","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/BF02698927","volume":"66","author":"Chenciner A.","year":"1988","journal-title":"Inst. Hautes Etudes Sci. Publ. Math."},{"volume-title":"Difference Equations","year":"2005","author":"Cull P.","key":"S0218127420502454BIB008"},{"key":"S0218127420502454BIB009","first-page":"1950191-1","volume":"29","author":"Deng S.","year":"2019","journal-title":"Int. J. Bifurcation and Chaos"},{"volume-title":"Qualitative Theory of Planar Differential Systems","year":"2006","author":"Dumortier F.","key":"S0218127420502454BIB010"},{"doi-asserted-by":"publisher","key":"S0218127420502454BIB011","DOI":"10.1142\/S0218127400001262"},{"year":"2020","author":"Fowler A.","journal-title":"Chaos","key":"S0218127420502454BIB012"},{"doi-asserted-by":"publisher","key":"S0218127420502454BIB013","DOI":"10.1142\/S0218127407017902"},{"key":"S0218127420502454BIB014","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4471-6353-4","volume-title":"Mathematical Methods in Biology and Neurobiology","author":"Jost J.","year":"2014"},{"key":"S0218127420502454BIB015","volume-title":"Computational Systems Biology","author":"Kriete A.","year":"2014","edition":"2"},{"key":"S0218127420502454BIB016","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3978-7","volume-title":"Elements of Applied Bifurcation Theory","author":"Kuznetsov Y. A.","year":"2004","edition":"3"},{"key":"S0218127420502454BIB017","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-0657-2","volume-title":"Introduction to the Qualitative Theory of Differential Systems: Planar, Symmetric and Continuous Piecewise Linear Systems","author":"Llibre J.","year":"2014"},{"key":"S0218127420502454BIB018","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/s11071-014-1873-4","volume":"80","author":"Llibre J.","year":"2015","journal-title":"Nonlin. Dyn."},{"volume-title":"Introduction to Discrete Dynamical Systems and Chaos","year":"2011","author":"Martelli M.","key":"S0218127420502454BIB019"},{"key":"S0218127420502454BIB020","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/j.amc.2016.09.026","volume":"295","author":"Mencinger M.","year":"2017","journal-title":"Appl. Math. Comput."},{"key":"S0218127420502454BIB021","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-27251-6","volume-title":"Methods and Models in Mathematical Biology","author":"Muller J.","year":"2015"},{"doi-asserted-by":"publisher","key":"S0218127420502454BIB022","DOI":"10.1142\/4221"},{"key":"S0218127420502454BIB023","doi-asserted-by":"crossref","first-page":"249","DOI":"10.5890\/JVTSD.2018.09.005","volume":"2","author":"Silva V. B.","year":"2018","journal-title":"J. Vibr. Test. Syst. Dyn."},{"key":"S0218127420502454BIB024","doi-asserted-by":"crossref","first-page":"2115","DOI":"10.3934\/dcds.2017091","volume":"37","author":"Tigan G.","year":"2017","journal-title":"Discr. Contin. Dyn. Syst. Ser. A"},{"key":"S0218127420502454BIB025","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0218127417500687","volume":"27","author":"Tigan G.","year":"2017","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"S0218127420502454BIB026","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1007\/s12346-017-0241-4","volume":"17","author":"Tigan G.","year":"2018","journal-title":"Qualit. Th. Dyn. Syst."},{"key":"S0218127420502454BIB027","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1142\/S0129183199000632","volume":"10","author":"Volk D.","year":"1999","journal-title":"Int. J. Mod. Phys."},{"key":"S0218127420502454BIB028","first-page":"2050055-1","volume":"30","author":"Wang J.","year":"2020","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"S0218127420502454BIB029","doi-asserted-by":"crossref","first-page":"122991","DOI":"10.1016\/j.physa.2019.122991","volume":"539","author":"Wang X.","year":"2020","journal-title":"Physica A"},{"key":"S0218127420502454BIB030","doi-asserted-by":"crossref","first-page":"1930042-1","DOI":"10.1142\/S0218127419300428","volume":"29","author":"Wawrzaszek A.","year":"2019","journal-title":"Int. J. Bifurcation and Chaos"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127420502454","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,18]],"date-time":"2021-04-18T12:50:52Z","timestamp":1618750252000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127420502454"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,12,28]]},"references-count":30,"journal-issue":{"issue":"16","published-print":{"date-parts":[[2020,12,30]]}},"alternative-id":["10.1142\/S0218127420502454"],"URL":"https:\/\/doi.org\/10.1142\/s0218127420502454","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2020,12,28]]}}}