{"id":"https://openalex.org/W2507833514","doi":"https://doi.org/10.1007/978-3-319-46418-3_56","title":"Analysis of 4D Hypercomplex Generalizations of Julia Sets","display_name":"Analysis of 4D Hypercomplex Generalizations of Julia Sets","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2507833514","doi":"https://doi.org/10.1007/978-3-319-46418-3_56","mag":"2507833514"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-46418-3_56","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-46418-3_56","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5058959759","display_name":"Andrzej Katunin","orcid":"https://orcid.org/0000-0002-9386-5104"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Katunin","raw_affiliation_strings":["Institute of Fundamentals of Machinery Design, Silesian University of Technology, 18A Konarskiego Street, 44-100, Gliwice, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Fundamentals of Machinery Design, Silesian University of Technology, 18A Konarskiego Street, 44-100, Gliwice, Poland","institution_ids":["https://openalex.org/I119004910"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058959759"],"corresponding_institution_ids":["https://openalex.org/I119004910"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3195,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80881196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"627","last_page":"635"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9934999942779541,"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":0.9934999942779541,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9821000099182129,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypercomplex-number","display_name":"Hypercomplex number","score":0.9969624876976013},{"id":"https://openalex.org/keywords/julia-set","display_name":"Julia set","score":0.6560680270195007},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.560224711894989},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49337854981422424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4622632563114166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42748400568962097},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3674125671386719},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.35722869634628296},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.340509831905365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11496517062187195},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10034659504890442}],"concepts":[{"id":"https://openalex.org/C203249530","wikidata":"https://www.wikidata.org/wiki/Q837414","display_name":"Hypercomplex number","level":3,"score":0.9969624876976013},{"id":"https://openalex.org/C187619975","wikidata":"https://www.wikidata.org/wiki/Q848427","display_name":"Julia set","level":2,"score":0.6560680270195007},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.560224711894989},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49337854981422424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4622632563114166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42748400568962097},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3674125671386719},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.35722869634628296},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.340509831905365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11496517062187195},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10034659504890442}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-46418-3_56","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-46418-3_56","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1513861997","https://openalex.org/W1982192927","https://openalex.org/W1990241457","https://openalex.org/W2040569182","https://openalex.org/W2041118851","https://openalex.org/W2063691084","https://openalex.org/W2073556564","https://openalex.org/W2086044311","https://openalex.org/W2112887636","https://openalex.org/W2113837020","https://openalex.org/W2134027905","https://openalex.org/W2478745693","https://openalex.org/W2524707892","https://openalex.org/W2916189677","https://openalex.org/W3021327005","https://openalex.org/W4237282193","https://openalex.org/W4244010489","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2916518000","https://openalex.org/W2916498667","https://openalex.org/W2917906954","https://openalex.org/W2572893131","https://openalex.org/W2917330019","https://openalex.org/W2917006597","https://openalex.org/W2916884673","https://openalex.org/W1897251165","https://openalex.org/W2423267406","https://openalex.org/W2020324309"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
