{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:40:52Z","timestamp":1772296852254,"version":"3.50.1"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p> We use the Poincar\u00e9 compactification for a polynomial vector field in \u211d<jats:sup>3<\/jats:sup> to study the dynamics near and at infinity of the classical Chua's system with a cubic nonlinearity. We give a complete description of the phase portrait of this system at infinity, which is identified with the sphere \ud835\udd4a<jats:sup>2<\/jats:sup> in \u211d<jats:sup>3<\/jats:sup> after compactification, and perform a numerical study on how the solutions reach infinity, depending on the parameter values. With this global study we intend to give a contribution in the understanding of this well known and extensively studied complex three-dimensional dynamical system. <\/jats:p>","DOI":"10.1142\/s0218127411028453","type":"journal-article","created":{"date-parts":[[2011,2,14]],"date-time":"2011-02-14T04:23:27Z","timestamp":1297657407000},"page":"333-340","source":"Crossref","is-referenced-by-count":14,"title":["DYNAMICS AT INFINITY OF A CUBIC CHUA'S SYSTEM"],"prefix":"10.1142","volume":"21","author":[{"given":"MARCELO","family":"MESSIAS","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Estat\u00edstica e Computa\u00e7\u00e3o, Faculdade de Ci\u00eancias e Tecnologia, UNESP \u2013 Univ Estadual Paulista, Cx. Postal 266, 19060-900, Presidente Prudente, SP, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407017665"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218126694000090"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1990-0998352-5"},{"key":"rf4","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1590\/S0001-37652007000400001","volume":"79","author":"Llibre J.","journal-title":"An. Acad. Bras. Cienc."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/41\/27\/275210"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2008.10.011"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/9789812798855_0004"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/42\/11\/115101"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127409023159"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499000171"},{"key":"rf11","volume-title":"Mathematical Problems in Engineering","author":"Rubinger R. M.","year":"2007"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405011990"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.2307\/1995243"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127411028453","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:57:36Z","timestamp":1565121456000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127411028453"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":13,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1142\/S0218127411028453"],"URL":"https:\/\/doi.org\/10.1142\/s0218127411028453","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1]]}}}