{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T07:31:06Z","timestamp":1781163066101,"version":"3.54.1"},"reference-count":35,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"DOI":"10.13039\/501100007613","name":"Deanship of Scientific Research at Majmaah University","doi-asserted-by":"publisher","award":["RGP-2019-28"],"award-info":[{"award-number":["RGP-2019-28"]}],"id":[{"id":"10.13039\/501100007613","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2020]]},"DOI":"10.1109\/access.2020.2984689","type":"journal-article","created":{"date-parts":[[2020,3,31]],"date-time":"2020-03-31T21:23:09Z","timestamp":1585689789000},"page":"64411-64421","source":"Crossref","is-referenced-by-count":36,"title":["Mandelbrot Sets and Julia Sets in Picard-Mann Orbit"],"prefix":"10.1109","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4921-7289","authenticated-orcid":false,"given":"Cui","family":"Zou","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4012-8028","authenticated-orcid":false,"given":"Abdul Aziz","family":"Shahid","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6165-8055","authenticated-orcid":false,"given":"Asifa","family":"Tassaddiq","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Arshad","family":"Khan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8621-4541","authenticated-orcid":false,"given":"Maqbool","family":"Ahmad","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref33","author":"devaney","year":"1992","journal-title":"A first course in chaotic dynamical systems Theory and Experiments"},{"key":"ref32","author":"barnsley","year":"2014","journal-title":"Fractals Everywhere"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1186\/s40064-016-3530-5"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1186\/s13660-015-0820-3"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1186\/1687-1812-2013-69"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1953-0054846-3"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/0960-0779(92)90044-N"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-46418-3_56"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-19263-0_24"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.06.014"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12783"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.22436\/jnsa.009.05.33"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.22436\/jnsa.008.05.14"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.22436\/jnsa.009.03.25"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-33179-4_30"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.22436\/jnsa.009.03.28"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2919520"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/20\/11\/051"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2892013"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/0097-8493(93)90056-F"},{"key":"ref6","first-page":"138","article-title":"Residual Julia sets of rational and transcendental functions","author":"dom\u00ednguez","year":"2010","journal-title":"Transcendental Dynamics and Complex Analysis"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.30538\/oms2018.0017"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/BF03320977"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/2\/4\/003"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416500954"},{"key":"ref2","volume":"2","author":"mandelbrot","year":"1982","journal-title":"The Fractal Geometry of Nature"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1142\/SKAE"},{"key":"ref1","first-page":"47","article-title":"Memoire sur l’iteration des fonctions rationnelles","volume":"8","author":"julia","year":"1918","journal-title":"J Math Pures Appl"},{"key":"ref20","first-page":"261","article-title":"Superior Julia set","volume":"8","author":"rani","year":"2004","journal-title":"Journal of the Korea Society of Mathematical Education Series D Research in Mathematical Education"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.5120\/1320-1674"},{"key":"ref21","first-page":"279","article-title":"Superior mandelbrot set","volume":"8","author":"rani","year":"2004","journal-title":"Journal of the Korea Society of Mathematical Education Series D Research in Mathematical Education"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1611033K"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.5120\/1321-1675"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2920026"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2013.11.077"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/8948470\/09051732.pdf?arnumber=9051732","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T15:56:15Z","timestamp":1642002975000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9051732\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"references-count":35,"URL":"https:\/\/doi.org\/10.1109\/access.2020.2984689","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020]]}}}