{"id":"https://openalex.org/W1596857911","doi":"https://doi.org/10.1007/3-540-59496-5_288","title":"Mean field theory of the Edge of Chaos","display_name":"Mean field theory of the Edge of Chaos","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1596857911","doi":"https://doi.org/10.1007/3-540-59496-5_288","mag":"1596857911"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-59496-5_288","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59496-5_288","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/A5086654620","display_name":"Howard Gutowitz","orcid":null},"institutions":[{"id":"https://openalex.org/I1308548392","display_name":"Santa Fe Institute","ror":"https://ror.org/01arysc35","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308548392"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Howard Gutowitz","raw_affiliation_strings":["Laboratoire d'Electronique, Ecole Sup\u00e9rieure de Physique et Chimie Industrielles, 10 rue Vauquelin, 75005, Paris","The Santa Fe Institute, 1399 Hyde Park Road, 87501, Santa Fe, NM","The Santa Fe Institute","Ecole Sup\u00e9rieure de Physique et Chimie Industrielles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Electronique, Ecole Sup\u00e9rieure de Physique et Chimie Industrielles, 10 rue Vauquelin, 75005, Paris","institution_ids":[]},{"raw_affiliation_string":"The Santa Fe Institute, 1399 Hyde Park Road, 87501, Santa Fe, NM","institution_ids":["https://openalex.org/I1308548392"]},{"raw_affiliation_string":"The Santa Fe Institute","institution_ids":["https://openalex.org/I1308548392"]},{"raw_affiliation_string":"Ecole Sup\u00e9rieure de Physique et Chimie Industrielles","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030469518","display_name":"Chris Langton","orcid":null},"institutions":[{"id":"https://openalex.org/I1308548392","display_name":"Santa Fe Institute","ror":"https://ror.org/01arysc35","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308548392"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chris Langton","raw_affiliation_strings":["The Santa Fe Institute, 1399 Hyde Park Road, 87501, Santa Fe, NM","The Santa Fe Institute"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Santa Fe Institute, 1399 Hyde Park Road, 87501, Santa Fe, NM","institution_ids":["https://openalex.org/I1308548392"]},{"raw_affiliation_string":"The Santa Fe Institute","institution_ids":["https://openalex.org/I1308548392"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1308548392"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5536,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.65097876,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"52","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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":0.980400025844574,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/edge-of-chaos","display_name":"Edge of chaos","score":0.6018104553222656},{"id":"https://openalex.org/keywords/chaos-theory","display_name":"Chaos theory","score":0.5228871703147888},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4856201708316803},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.4779239296913147},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4500846266746521},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41955041885375977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2923511862754822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2899927794933319},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28107327222824097},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1457560956478119},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10766139626502991},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.06411528587341309},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.058178603649139404}],"concepts":[{"id":"https://openalex.org/C2780713532","wikidata":"https://www.wikidata.org/wiki/Q93158","display_name":"Edge of chaos","level":2,"score":0.6018104553222656},{"id":"https://openalex.org/C92866567","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaos theory","level":3,"score":0.5228871703147888},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4856201708316803},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.4779239296913147},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4500846266746521},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41955041885375977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2923511862754822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2899927794933319},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28107327222824097},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1457560956478119},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10766139626502991},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.06411528587341309},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.058178603649139404}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-59496-5_288","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59496-5_288","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.48.2380","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.2380","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.santafe.edu/pub/hag/ecal95.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1481272997","https://openalex.org/W1497256448","https://openalex.org/W1601755406","https://openalex.org/W1652437284","https://openalex.org/W1881958520","https://openalex.org/W1973204073","https://openalex.org/W2001024377","https://openalex.org/W2064715443","https://openalex.org/W2177218873","https://openalex.org/W2912434001","https://openalex.org/W2952585100","https://openalex.org/W3087107130","https://openalex.org/W4236635592","https://openalex.org/W6629610141","https://openalex.org/W6783270728"],"related_works":["https://openalex.org/W4239415910","https://openalex.org/W2086709181","https://openalex.org/W2350515275","https://openalex.org/W2385251151","https://openalex.org/W169965548","https://openalex.org/W2385255403","https://openalex.org/W1497196823","https://openalex.org/W641155931","https://openalex.org/W4252560848","https://openalex.org/W4380763934"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}