{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T05:25:12Z","timestamp":1648877112587},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,9]]},"abstract":"<jats:p> We show for the class [Formula: see text] of all C<jats:sup>\u221e<\/jats:sup>, transitive and topologically conjugate to algebraic polynomials interval self-maps the following stability type property: the class [Formula: see text] has no isolated points and for every [Formula: see text] and any \u03b5 arbitrary small positive real number there exists a map [Formula: see text] sharing with f the same fixed points except one and such that \u2016 f - g \u2016<jats:sub>1<\/jats:sub> = \u03b5. On the contrary, we also show for each [Formula: see text] that the re exists a C<jats:sup>\u221e<\/jats:sup> interval self-map topologically conjugate to a polynomial, not transitive and \u2016 \u22c5 \u2016<jats:sub>1<\/jats:sub>-arbitrary close to the map f. <\/jats:p>","DOI":"10.1142\/s0218127410027490","type":"journal-article","created":{"date-parts":[[2010,11,16]],"date-time":"2010-11-16T04:34:01Z","timestamp":1289882041000},"page":"2949-2953","source":"Crossref","is-referenced-by-count":0,"title":["DISTURBING SMOOTH TRANSITIVE INTERVAL MAPS"],"prefix":"10.1142","volume":"20","author":[{"given":"FRANCISCO","family":"BALIBREA","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad de Murcia, Facultad de Matem\u00e1ticas, 30100-Murcia, Regi\u00f3n de Murcia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JUAN L. G.","family":"GUIRAO","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Aplicada y Estad\u00edstica, Universidad Polit\u00e9cnica de Cartagena, Hospital de Marina, 30203-Cartagena, Regi\u00f3n de Murcia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MIGUEL A.","family":"L\u00d3PEZ","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad de Castilla-La Mancha, E.U. Polit\u00e9cnica de Cuenca, 16071-Cuenca, Castilla-La Mancha, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","series-title":"Springer Monographs in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0084762","volume-title":"Dynamics in One Dimension","author":"Block L. S.","year":"1992"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(00)00675-7"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0531(86)90006-2"},{"key":"rf4","volume-title":"An Introduction to Chaotic Dynamical Systems","author":"Devaney R. L.","year":"1986"},{"key":"rf5","first-page":"271","volume":"46","author":"Jim\u00e9nez V.","journal-title":"Bull. Austral. Math. Soc."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0960-0779(91)90045-B"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1989.0009"},{"key":"rf9","first-page":"109","volume":"3","author":"Van der Pool B.","journal-title":"London, Edinburgh and Dublin Phil. Mag."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127410027490","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T01:23:06Z","timestamp":1565140986000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127410027490"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":8,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2010,9]]}},"alternative-id":["10.1142\/S0218127410027490"],"URL":"https:\/\/doi.org\/10.1142\/s0218127410027490","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}