{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T06:14:32Z","timestamp":1772518472637,"version":"3.50.1"},"reference-count":27,"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":[[2006,5]]},"abstract":"<jats:p> We define a locally Sierpinski Julia set to be a Julia set of an elliptic function which is a Sierpinski curve in each fundamental domain for the lattice. In order to construct examples, we give sufficient conditions on a lattice for which the corresponding Weierstrass elliptic \u2118 function is locally connected and quadratic-like, and we use these results to prove the existence of locally Sierpinski Julia sets for certain elliptic functions. We give examples satisfying these conditions. We show this results in naturally occurring Sierpinski curves in the plane, sphere and torus as well. <\/jats:p>","DOI":"10.1142\/s0218127406015453","type":"journal-article","created":{"date-parts":[[2006,8,21]],"date-time":"2006-08-21T11:10:02Z","timestamp":1156158602000},"page":"1505-1520","source":"Crossref","is-referenced-by-count":9,"title":["LOCALLY SIERPINSKI JULIA SETS OF WEIERSTRASS ELLIPTIC \u2118 FUNCTIONS"],"prefix":"10.1142","volume":"16","author":[{"given":"JANE M.","family":"HAWKINS","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of North Carolina at Chapel Hill, CB #3250, Chapel Hill, NC 27599-3250, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"DANIEL M.","family":"LOOK","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Boston University, 111 Cummington St., Boston, MA 02215, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1017\/S014338570000612X","volume":"11","author":"Baker I. 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