{"id":"https://openalex.org/W2124261671","doi":"https://doi.org/10.1142/s021812740902355x","title":"ON THE DYNAMICAL BEHAVIOR OF CELLULAR AUTOMATA","display_name":"ON THE DYNAMICAL BEHAVIOR OF CELLULAR AUTOMATA","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2124261671","doi":"https://doi.org/10.1142/s021812740902355x","mag":"2124261671"},"language":"en","primary_location":{"id":"doi:10.1142/s021812740902355x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740902355x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5100340420","display_name":"Xu Xu","orcid":"https://orcid.org/0000-0002-9721-9054"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"XU XU","raw_affiliation_strings":["Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK","Department of Automatic Control and Systems Engineering, University of Sheffield. Mappin Street, Sheffield, S1 3JD, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield. Mappin Street, Sheffield, S1 3JD, UK","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028338978","display_name":"Yi Song","orcid":null},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"YI SONG","raw_affiliation_strings":["Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK","Department of Automatic Control and Systems Engineering, University of Sheffield. Mappin Street, Sheffield, S1 3JD, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield. Mappin Street, Sheffield, S1 3JD, UK","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108195447","display_name":"Stephen P. Banks","orcid":null},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"STEPHEN P. BANKS","raw_affiliation_strings":["Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK","Department of Automatic Control and Systems Engineering, University of Sheffield. Mappin Street, Sheffield, S1 3JD, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield. Mappin Street, Sheffield, S1 3JD, UK","institution_ids":["https://openalex.org/I91136226"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I91136226"],"apc_list":null,"apc_paid":null,"fwci":1.0415,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.78183832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"04","first_page":"1147","last_page":"1156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":1.0,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9958999752998352,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9714000225067139,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/cellular-automaton","display_name":"Cellular automaton","score":0.8590357303619385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6165379285812378},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5846635103225708},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5237628817558289},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.393196165561676},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3729589581489563},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3519746661186218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3286525309085846},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.11251109838485718},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0492129921913147}],"concepts":[{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.8590357303619385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6165379285812378},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5846635103225708},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5237628817558289},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.393196165561676},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3729589581489563},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3519746661186218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3286525309085846},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.11251109838485718},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0492129921913147}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s021812740902355x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740902355x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:shura.shu.ac.uk:17032","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S021812740902355X","pdf_url":null,"source":{"id":"https://openalex.org/S4306401600","display_name":"SHURA (Sheffield Hallam University Research Archive) (Sheffield Hallam University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71422933","host_organization_name":"Sheffield Hallam University","host_organization_lineage":["https://openalex.org/I71422933"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7560132423","display_name":null,"funder_award_id":"EP/F023464/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W284492748","https://openalex.org/W1973049653","https://openalex.org/W2000270556","https://openalex.org/W2001109406","https://openalex.org/W2008633502","https://openalex.org/W2018042121","https://openalex.org/W2037830802","https://openalex.org/W2046967479","https://openalex.org/W2065342903","https://openalex.org/W2087874897","https://openalex.org/W2090469542","https://openalex.org/W2117740782","https://openalex.org/W2146531915","https://openalex.org/W2147856686","https://openalex.org/W2507047444","https://openalex.org/W4212928962"],"related_works":["https://openalex.org/W2164619678","https://openalex.org/W2113544496","https://openalex.org/W1669105318","https://openalex.org/W2360313292","https://openalex.org/W2067777412","https://openalex.org/W2359527201","https://openalex.org/W2353714615","https://openalex.org/W3091867061","https://openalex.org/W2370307662","https://openalex.org/W2141069492"],"abstract_inverted_index":{"In":[0,27],"this":[1],"paper,":[2],"we":[3,29],"show":[4,30],"that":[5,31],"the":[6,23],"mathematical":[7],"classification":[8,44],"of":[9,34],"one-dimensional":[10],"cellular":[11],"automata":[12],"given":[13],"by":[14],"Dubois\u2013Violette":[15],"and":[16,51],"Rouet":[17],"[1987]":[18],"does":[19],"not":[20],"truly":[21],"represent":[22],"different":[24,40],"behaviors":[25],"possible.":[26],"fact":[28],"many":[32],"rules":[33],"their":[35],"type":[36],"O":[37],"have":[38],"totally":[39],"behavior.":[41],"A":[42],"better":[43],"is":[45],"based":[46],"on":[47],"Smale's":[48],"basic":[49],"sets":[50],"nonwandering":[52],"points.":[53]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}