{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,11]],"date-time":"2025-04-11T10:05:13Z","timestamp":1744365913547},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,5]]},"abstract":"<jats:p> Our main theorem establishes that the Fatou set of the functions f<jats:sub>\u03bb,\u03bc<\/jats:sub>(z) = \u03bbe<jats:sup>z<\/jats:sup> + \u03bc\/z contains a two-cycle of Baker domains {F<jats:sub>\u221e<\/jats:sub>, F<jats:sub>0<\/jats:sub>} if Re(\u03bb) &lt; 0 and |Im(\u03bb)| &lt; 1\/2|Re(\u03bb)|. We show that under [Formula: see text] every point in F<jats:sub>\u221e<\/jats:sub> tends to infinity and in F<jats:sub>0<\/jats:sub> tends to zero. Moreover, if |Im(\u03bb)| &lt; 1\/2|Re(\u03bb)| - 4, the set F<jats:sub>\u221e<\/jats:sub> contains infinitely many critical points of f<jats:sub>\u03bb,\u03bc<\/jats:sub> and F<jats:sub>0<\/jats:sub> contains infinitely many critical values; also, infinitely many critical values of [Formula: see text] are contained in both F<jats:sub>\u221e<\/jats:sub> and F<jats:sub>0<\/jats:sub>. Finally, the images of the Baker domains are displayed for some parameters. <\/jats:p>","DOI":"10.1142\/s021812741450059x","type":"journal-article","created":{"date-parts":[[2014,5,28]],"date-time":"2014-05-28T08:08:41Z","timestamp":1401264521000},"page":"1450059","source":"Crossref","is-referenced-by-count":1,"title":["Baker Domains of Period Two for the Family $f_{\\lambda,\\mu}(z)=\\lambda e^{z} + \\frac{\\mu}{z}$"],"prefix":"10.1142","volume":"24","author":[{"given":"Marco A.","family":"Montes de Oca Balderas","sequence":"first","affiliation":[{"name":"Facultad de Ciencias, UNAM, Av. Universidad 3000, C.U., M\u00e9xico D.F., C.P. 04510, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guillermo J. F.","family":"Sienra Loera","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias, UNAM, Av. Universidad 3000, C.U., M\u00e9xico D.F., C.P. 04510, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jefferson E.","family":"King Davalos","sequence":"additional","affiliation":[{"name":"Facultad de Ciencias, UNAM, Av. Universidad 3000, C.U., M\u00e9xico D.F., C.P. 04510, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,5,28]]},"reference":[{"key":"rf1","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1017\/S0143385700006386","volume":"11","author":"Baker I. N.","journal-title":"Erg. Th. Dyn. Syst."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-1993-00432-4"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S1874-575X(10)00314-0"},{"key":"rf4","unstructured":"R. L.\u00a0Devaney, Handbook of Dynamical Systems\u00a03 (2006)\u00a0pp. 125\u2013224."},{"key":"rf5","first-page":"3175","volume":"18","author":"Devaney R. L.","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"rf6","first-page":"225","volume":"23","author":"Dom\u00ednguez P.","journal-title":"Ann. Acad. Sci. Fenn. Math."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1112\/S002461079800698X"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-99-04942-4"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004106009315"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021812741450059X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:23:07Z","timestamp":1565122987000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021812741450059X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,5]]},"references-count":9,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2014,5,28]]},"published-print":{"date-parts":[[2014,5]]}},"alternative-id":["10.1142\/S021812741450059X"],"URL":"https:\/\/doi.org\/10.1142\/s021812741450059x","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,5]]}}}