{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T16:00:57Z","timestamp":1773244857304,"version":"3.50.1"},"reference-count":13,"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":[[2003,9]]},"abstract":"<jats:p> We consider the family of entire transcendental maps given by F<jats:sub>\u03bb,m<\/jats:sub>(z)=\u03bbz<jats:sup>m<\/jats:sup> exp (z) where m\u22652. All functions F<jats:sub>\u03bb,m<\/jats:sub> have a superattracting fixed point at z=0, and a critical point at z = -m. In the dynamical plane we study the topology of the basin of attraction of z=0. In the parameter plane we focus on the capture behavior, i.e. \u03bb values such that the critical point belongs to the basin of attraction of z=0. In particular, we find a capture zone for which this basin has a unique connected component, whose boundary is then nonlocally connected. However, there are parameter values for which the boundary of the immediate basin of z=0 is a quasicircle. <\/jats:p>","DOI":"10.1142\/s0218127403008120","type":"journal-article","created":{"date-parts":[[2003,10,16]],"date-time":"2003-10-16T10:47:26Z","timestamp":1066301246000},"page":"2623-2640","source":"Crossref","is-referenced-by-count":8,"title":["Capture Zones of the Family of Functions \u03bbz<sup>m<\/sup><font>exp<\/font>(z)"],"prefix":"10.1142","volume":"13","author":[{"given":"N\u00faria","family":"Fagella","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tica Aplicada i  An\u00e0lisi, Universitat de Barcelona, Gran Via de les Corts Catalanes,  585, 08005 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antonio","family":"Garijo","sequence":"additional","affiliation":[{"name":"Departament d'Eng. Inform\u00e0tica i  Matem\u00e0tiques, Universitat Rovira i Virgili, Av. Pa\u00efsos Catalans,  26, 43007 Tarragona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"1","volume":"467","author":"Baker I. N.","journal-title":"Ann. Acad. Sci. Fenn. Ser. A I Math"},{"key":"rf2","first-page":"563","volume":"49","author":"Baker I. N.","journal-title":"Proc. London Math. Soc."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1080\/17476930008815263"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100073345"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4364-9"},{"key":"rf6","first-page":"489","volume":"4","author":"Devaney R. L.","journal-title":"Ergod. Th. Dyn. Syst."},{"key":"rf7","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1017\/S0143385700003655","volume":"6","author":"Devaney R. L.","journal-title":"Ergod. Th. Dyn. Syst."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-87-05513-X"},{"key":"rf9","doi-asserted-by":"crossref","first-page":"287","DOI":"10.24033\/asens.1491","volume":"18","author":"Douady A.","journal-title":"Ann. Scient. Ec. Norm. Sup."},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127495000521"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF02559517"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-01-02662-9"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.2307\/1971308"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403008120","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:15:03Z","timestamp":1565136903000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403008120"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,9]]},"references-count":13,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,9]]}},"alternative-id":["10.1142\/S0218127403008120"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403008120","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,9]]}}}