{"id":"https://openalex.org/W1964566032","doi":"https://doi.org/10.1016/s0097-8493(01)00185-6","title":"M and J sets from Newton's transformation of the transcendental mapping F(z)=e+ with vcps","display_name":"M and J sets from Newton's transformation of the transcendental mapping F(z)=e+ with vcps","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W1964566032","doi":"https://doi.org/10.1016/s0097-8493(01)00185-6","mag":"1964566032"},"language":"en","primary_location":{"id":"doi:10.1016/s0097-8493(01)00185-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-8493(01)00185-6","pdf_url":null,"source":{"id":"https://openalex.org/S94821547","display_name":"Computers & Graphics","issn_l":"0097-8493","issn":["0097-8493","1873-7684"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100747218","display_name":"Ning Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I108904480","display_name":"Shenyang Institute of Engineering","ror":"https://ror.org/02pfsj857","country_code":"CN","type":"education","lineage":["https://openalex.org/I108904480"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ning Chen","raw_affiliation_strings":["Department of Computer Science and Engineering, Shenyang Architectural and Civil Engineering Institute, Shenyang, Liaoning, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Shenyang Architectural and Civil Engineering Institute, Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I108904480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008278812","display_name":"X. Zhu","orcid":"https://orcid.org/0000-0002-9573-4570"},"institutions":[{"id":"https://openalex.org/I108904480","display_name":"Shenyang Institute of Engineering","ror":"https://ror.org/02pfsj857","country_code":"CN","type":"education","lineage":["https://openalex.org/I108904480"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"X.L. Zhu","raw_affiliation_strings":["Department of Computer Science and Engineering, Shenyang Architectural and Civil Engineering Institute, Shenyang, Liaoning, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Shenyang Architectural and Civil Engineering Institute, Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I108904480"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024341642","display_name":"K.W. Chung","orcid":"https://orcid.org/0000-0002-0153-8801"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"K.W. Chung","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Hong Kong","Dept. of Mathematics, City University of Hong Kong, Hong Kong#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Dept. of Mathematics, City University of Hong Kong, Hong Kong#TAB#","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100747218"],"corresponding_institution_ids":["https://openalex.org/I108904480"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.4626,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.55779935,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"2","first_page":"371","last_page":"383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9018999934196472,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mandelbrot-set","display_name":"Mandelbrot set","score":0.9797051548957825},{"id":"https://openalex.org/keywords/julia-set","display_name":"Julia set","score":0.9270041584968567},{"id":"https://openalex.org/keywords/newton-fractal","display_name":"Newton fractal","score":0.736852765083313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6469831466674805},{"id":"https://openalex.org/keywords/transcendental-number","display_name":"Transcendental number","score":0.5958991050720215},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5468851327896118},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42850708961486816},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41705119609832764},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40263041853904724},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35800230503082275},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.1423330008983612},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13887685537338257},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07624205946922302}],"concepts":[{"id":"https://openalex.org/C97519476","wikidata":"https://www.wikidata.org/wiki/Q257","display_name":"Mandelbrot set","level":3,"score":0.9797051548957825},{"id":"https://openalex.org/C187619975","wikidata":"https://www.wikidata.org/wiki/Q848427","display_name":"Julia set","level":2,"score":0.9270041584968567},{"id":"https://openalex.org/C194342247","wikidata":"https://www.wikidata.org/wiki/Q1151001","display_name":"Newton fractal","level":4,"score":0.736852765083313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6469831466674805},{"id":"https://openalex.org/C188370112","wikidata":"https://www.wikidata.org/wiki/Q173091","display_name":"Transcendental number","level":2,"score":0.5958991050720215},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5468851327896118},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42850708961486816},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41705119609832764},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40263041853904724},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35800230503082275},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.1423330008983612},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13887685537338257},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07624205946922302},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0097-8493(01)00185-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-8493(01)00185-6","pdf_url":null,"source":{"id":"https://openalex.org/S94821547","display_name":"Computers & Graphics","issn_l":"0097-8493","issn":["0097-8493","1873-7684"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1480957554","https://openalex.org/W1482997031","https://openalex.org/W1594262875","https://openalex.org/W1989939998","https://openalex.org/W2000983782","https://openalex.org/W2005773894","https://openalex.org/W2016456834","https://openalex.org/W2049740389","https://openalex.org/W2080846687","https://openalex.org/W2091939801","https://openalex.org/W2156263007","https://openalex.org/W2339378878","https://openalex.org/W3021496468","https://openalex.org/W4233877172","https://openalex.org/W4300096983"],"related_works":["https://openalex.org/W2081216589","https://openalex.org/W1544032841","https://openalex.org/W1964566032","https://openalex.org/W4391023542","https://openalex.org/W4389471144","https://openalex.org/W3008531049","https://openalex.org/W4387772385","https://openalex.org/W109862761","https://openalex.org/W2370909541","https://openalex.org/W2370001214"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-22T06:23:43.705686","created_date":"2025-10-10T00:00:00"}
