{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,9]],"date-time":"2026-02-09T23:36:49Z","timestamp":1770680209938,"version":"3.49.0"},"reference-count":8,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005667","name":"Funda\u00e7\u00e3o de Amparo \u00e1 Pesquisa e Inova\u00e7\u00e3o do Estado de Santa Catarina","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100005667","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p> In this paper, we investigate a three-parameter four-dimensional dynamical system, which is modeled by a set of four first-order nonlinear ordinary differential equations, each of which contains a crossed cubic term. Dynamical behaviors are characterized in the parameter space of the model. In fact, we use some cross-sections of a three-dimensional parameter-space, namely three related parameter planes, to locate regular and chaotic regions, as well as multistability regions. Lyapunov exponents spectra, bifurcation diagrams, and phase-space portraits are used to complete the analysis. <\/jats:p>","DOI":"10.1142\/s0218127421500127","type":"journal-article","created":{"date-parts":[[2021,1,26]],"date-time":"2021-01-26T08:44:35Z","timestamp":1611650675000},"page":"2150012","source":"Crossref","is-referenced-by-count":3,"title":["Dynamics of a Four-Dimensional System with Cubic Nonlinearities"],"prefix":"10.1142","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2235-0469","authenticated-orcid":false,"given":"Paulo C.","family":"Rech","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2021,1,25]]},"reference":[{"key":"S0218127421500127BIB001","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0370-1573(02)00137-0","volume":"366","author":"Boccaletti S.","year":"2002","journal-title":"Phys. Rep."},{"key":"S0218127421500127BIB002","doi-asserted-by":"crossref","first-page":"025028","DOI":"10.1088\/2399-6528\/aaa955","volume":"2","author":"Felicio C. C.","year":"2018","journal-title":"J. Phys. Commun."},{"key":"S0218127421500127BIB003","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1063\/1.166259","volume":"7","author":"Feudel U.","year":"1997","journal-title":"Chaos"},{"key":"S0218127421500127BIB004","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"},{"key":"S0218127421500127BIB005","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","volume":"20","author":"Lorenz E.","year":"1963","journal-title":"J. Atmos. Sci."},{"key":"S0218127421500127BIB006","volume-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","author":"Wiggins S.","year":"2003"},{"key":"S0218127421500127BIB007","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/0167-2789(85)90011-9","volume":"16","author":"Wolf A.","year":"1985","journal-title":"Physica D"},{"key":"S0218127421500127BIB008","first-page":"1950203-1","volume":"29","author":"Yang J. C.","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\/S0218127421500127","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,1,26]],"date-time":"2021-01-26T08:45:47Z","timestamp":1611650747000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127421500127"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":8,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1142\/S0218127421500127"],"URL":"https:\/\/doi.org\/10.1142\/s0218127421500127","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]}}}