{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:38:45Z","timestamp":1753882725183,"version":"3.41.2"},"reference-count":17,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2022,3,15]]},"abstract":"<jats:p> We prove that there is a sequence of purely imaginary parameter values [Formula: see text] converging to [Formula: see text] such that the Julia set for [Formula: see text] is homeomorphic to the Sierpi\u0144ski carpet fractal; however, for any distinct pair of such parameter values, the dynamics of the map restricted to the Julia set are not conjugate. <\/jats:p>","DOI":"10.1142\/s0218127422500377","type":"journal-article","created":{"date-parts":[[2022,3,11]],"date-time":"2022-03-11T10:34:30Z","timestamp":1646994870000},"source":"Crossref","is-referenced-by-count":0,"title":["An Infinite Sequence of Bitransitive Sierpi\u0144ski Carpets for z\u21a6\u03bb(z + 1 z)"],"prefix":"10.1142","volume":"32","author":[{"given":"Daniel M.","family":"Look","sequence":"first","affiliation":[{"name":"Department of Mathematics, Computer Science and Statistics, St. Lawrence University, 23 Romoda Drive, Canton, NY 13617, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,3,10]]},"reference":[{"key":"S0218127422500377BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4422-6"},{"key":"S0218127422500377BIB002","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385704000380"},{"key":"S0218127422500377BIB003","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2005.13.1035"},{"key":"S0218127422500377BIB004","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/396\/07393"},{"key":"S0218127422500377BIB005","doi-asserted-by":"publisher","DOI":"10.5186\/aasfm.2014.3903"},{"key":"S0218127422500377BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740300731X"},{"key":"S0218127422500377BIB007","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127406015453"},{"key":"S0218127422500377BIB008","doi-asserted-by":"publisher","DOI":"10.4064\/fm199-3-3"},{"key":"S0218127422500377BIB009","doi-asserted-by":"publisher","DOI":"10.1080\/10236190903203911"},{"volume-title":"Complex Dynamics and Renormalization","year":"1994","author":"McMullen C.","key":"S0218127422500377BIB010"},{"key":"S0218127422500377BIB011","doi-asserted-by":"publisher","DOI":"10.1080\/10586458.1993.10504267"},{"key":"S0218127422500377BIB012","volume-title":"Dynamics in One Complex Variable","author":"Milnor J.","year":"2006","edition":"3"},{"key":"S0218127422500377BIB013","first-page":"266","volume-title":"Proc. Int. Conf. Nonlinear Analysis and Convex Analysis","author":"Morosawa S.","year":"1999"},{"key":"S0218127422500377BIB014","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392976"},{"key":"S0218127422500377BIB015","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/jdn030"},{"key":"S0218127422500377BIB016","doi-asserted-by":"publisher","DOI":"10.4064\/fm-45-1-320-324"},{"key":"S0218127422500377BIB017","first-page":"141","volume":"18","author":"Yongcheng Y.","year":"1992","journal-title":"Complex Var."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127422500377","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,11]],"date-time":"2022-03-11T10:36:09Z","timestamp":1646994969000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127422500377"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,10]]},"references-count":17,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2022,3,15]]}},"alternative-id":["10.1142\/S0218127422500377"],"URL":"https:\/\/doi.org\/10.1142\/s0218127422500377","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2022,3,10]]},"article-number":"2250037"}}