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Using graphical tools we demonstrate how one can localize the regions of the Julia sets that are affected by the presence of noise in each case. Finally, two numerical invariants for the Julia set of noise-perturbed complex quadratic maps are proposed for the study of the noise effect.<\/jats:p>","DOI":"10.1142\/s0218127412502215","type":"journal-article","created":{"date-parts":[[2012,10,16]],"date-time":"2012-10-16T02:49:37Z","timestamp":1350355777000},"page":"1250221","source":"Crossref","is-referenced-by-count":11,"title":["ON A CLOSENESS OF THE JULIA SETS OF NOISE-PERTURBED COMPLEX QUADRATIC MAPS"],"prefix":"10.1142","volume":"22","author":[{"given":"IOANNIS","family":"ANDREADIS","sequence":"first","affiliation":[{"name":"International School of The Hague, Wijndaelerduin 1, 2554 BX The Hague, The Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"THEODOROS E.","family":"KARAKASIDIS","sequence":"additional","affiliation":[{"name":"Department of Civil Engineering, University of Thessaly, GR-38334 Volos, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,10,15]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2009.03.033"},{"key":"rf2","first-page":"2883","volume":"217","author":"Andreadis I.","journal-title":"Appl. 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