{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T09:29:34Z","timestamp":1773221374222,"version":"3.50.1"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2008,8]]},"abstract":"<jats:p> We study the family of complex maps given by F<jats:sub>\u03bb<\/jats:sub>(z) = z<jats:sup>n<\/jats:sup> + \u03bb\/z<jats:sup>n<\/jats:sup> + c where n \u2265 3 is an integer, \u03bb is an arbitrarily small complex parameter, and c is chosen to be the center of a hyperbolic component of the corresponding Multibrot set. We focus on the structure of the Julia set for a map of this form generalizing a result of McMullen. We prove that it consists of a countable collection of Cantor sets of closed curves and an uncountable number of point components. <\/jats:p>","DOI":"10.1142\/s0218127408021725","type":"journal-article","created":{"date-parts":[[2008,10,10]],"date-time":"2008-10-10T08:44:55Z","timestamp":1223628295000},"page":"2309-2318","source":"Crossref","is-referenced-by-count":37,"title":["A GENERALIZED VERSION OF THE MCMULLEN DOMAIN"],"prefix":"10.1142","volume":"18","author":[{"given":"PAUL","family":"BLANCHARD","sequence":"first","affiliation":[{"name":"Department of Mathematics and Science, Boston University, Boston, MA 02215, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ROBERT L.","family":"DEVANEY","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Science, Boston University, Boston, MA 02215, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANTONIO","family":"GARIJO","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Science, Boston University, Boston, MA 02215, USA"},{"name":"Dep. d'Eng. Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Av. Pa\u00efsos Catalans, 26, 43007 Tarragona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ELIZABETH D.","family":"RUSSELL","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Science, Boston University, Boston, MA 02215, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385704000380"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404009259"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.2005.54.2615"},{"key":"rf5","first-page":"163","volume":"30","author":"Devaney R. L.","journal-title":"Topol. Proc."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-07-04137-2"},{"key":"rf7","author":"Devaney R. L.","journal-title":"Topology Proc."},{"key":"rf8","first-page":"123","volume":"29","author":"Douady A.","journal-title":"C.R. Acad. Sci. Paris"},{"key":"rf9","first-page":"193","volume":"16","author":"Ma\u00f1\u00e9 R.","journal-title":"Ann. Sci. ENS Paris"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-9602-4_3"},{"key":"rf11","doi-asserted-by":"crossref","unstructured":"C.\u00a0McMullen, Current Developments in Mathematics (International Press, Cambridge, MA, 1995)\u00a0pp. 323\u2013360.","DOI":"10.4310\/CDM.1995.v1995.n1.a4"},{"key":"rf12","volume-title":"Dynamics in One Complex Variable","author":"Milnor J.","year":"1999"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511569159.009"},{"key":"rf14","doi-asserted-by":"crossref","first-page":"320","DOI":"10.4064\/fm-45-1-320-324","volume":"45","author":"Whyburn G. T.","journal-title":"Fund. Math."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127408021725","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:00:51Z","timestamp":1565136051000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127408021725"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,8]]},"references-count":13,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,8]]}},"alternative-id":["10.1142\/S0218127408021725"],"URL":"https:\/\/doi.org\/10.1142\/s0218127408021725","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,8]]}}}