{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T14:46:29Z","timestamp":1761662789762},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,4]]},"abstract":"<jats:p> In this paper we investigate, via numerical simulations, the parameter space of the set of autonomous differential equations of a Chua oscillator, where the piecewise-linear function usually taken to describe the nonlinearity of the Chua diode was replaced by a cubic polynomial. As far as we know, we are the first to report that this parameter-space presents islands of periodicity embedded in a sea of chaos, scenario typically observed only in discrete-time models until recently. We show that these islands are self-similar, and organize themselves in period-adding bifurcation cascades. <\/jats:p>","DOI":"10.1142\/s0218127409023676","type":"journal-article","created":{"date-parts":[[2009,8,17]],"date-time":"2009-08-17T09:02:26Z","timestamp":1250499746000},"page":"1351-1355","source":"Crossref","is-referenced-by-count":15,"title":["A PARAMETER-SPACE OF A CHUA SYSTEM WITH A SMOOTH NONLINEARITY"],"prefix":"10.1142","volume":"19","author":[{"given":"HOLOKX A.","family":"ALBUQUERQUE","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"PAULO C.","family":"RECH","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2008.05.036"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407017665"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(02)00137-0"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.95.143905"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.055204"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407017689"},{"key":"rf7","doi-asserted-by":"crossref","first-page":"1072","DOI":"10.1109\/TCS.1986.1085869","volume":"33","author":"Chua L. O.","journal-title":"IEEE Trans. Circuits and Systems"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218126694000090"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.2714"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127496001454"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127491000105"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405011990"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1109\/81.340866"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127409023676","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:02:33Z","timestamp":1565136153000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127409023676"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4]]},"references-count":13,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,4]]}},"alternative-id":["10.1142\/S0218127409023676"],"URL":"https:\/\/doi.org\/10.1142\/s0218127409023676","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,4]]}}}