{"id":"https://openalex.org/W2131556964","doi":"https://doi.org/10.1142/s0218127404010953","title":"GLOBAL PATTERNS FROM LOCAL INTERACTIONS: A DYNAMICAL SYSTEMS APPROACH","display_name":"GLOBAL PATTERNS FROM LOCAL INTERACTIONS: A DYNAMICAL SYSTEMS APPROACH","publication_year":2004,"publication_date":"2004-08-01","ids":{"openalex":"https://openalex.org/W2131556964","doi":"https://doi.org/10.1142/s0218127404010953","mag":"2131556964"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127404010953","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404010953","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/A5063705801","display_name":"Richard J. Wiederien","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"RICHARD J. WIEDERIEN","raw_affiliation_strings":["Department of Aerospace and Mechanical  Engineering, 430K Olin Hall, University of Southern California, Los Angeles,  CA 90089-1453, USA","Department of Aerospace and Mechanical Engineering, 430K Olin Hall, University of Southern California, Los Angeles, CA 90089-1453, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace and Mechanical  Engineering, 430K Olin Hall, University of Southern California, Los Angeles,  CA 90089-1453, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Department of Aerospace and Mechanical Engineering, 430K Olin Hall, University of Southern California, Los Angeles, CA 90089-1453, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039655443","display_name":"Firdaus E. Udwadia","orcid":"https://orcid.org/0000-0003-1055-4165"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"FIRDAUS E. UDWADIA","raw_affiliation_strings":["Department of Aerospace and Mechanical  Engineering, 430K Olin Hall, University of Southern California, Los Angeles,  CA 90089-1453, USA","Department of Aerospace and Mechanical Engineering, 430K Olin Hall, University of Southern California, Los Angeles, CA 90089-1453, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace and Mechanical  Engineering, 430K Olin Hall, University of Southern California, Los Angeles,  CA 90089-1453, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Department of Aerospace and Mechanical Engineering, 430K Olin Hall, University of Southern California, Los Angeles, CA 90089-1453, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":1.1635,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87695993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"08","first_page":"2555","last_page":"2578"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.691077470779419},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.6705958247184753},{"id":"https://openalex.org/keywords/square-lattice","display_name":"Square lattice","score":0.5937638282775879},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5431811213493347},{"id":"https://openalex.org/keywords/prisoners-dilemma","display_name":"Prisoner's dilemma","score":0.5266975164413452},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.490280419588089},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.47662603855133057},{"id":"https://openalex.org/keywords/symmetric-game","display_name":"Symmetric game","score":0.43540704250335693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38658297061920166},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3716827929019928},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.36671751737594604},{"id":"https://openalex.org/keywords/normal-form-game","display_name":"Normal-form game","score":0.2940502166748047},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24257168173789978},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.22776895761489868},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07884728908538818}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.691077470779419},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.6705958247184753},{"id":"https://openalex.org/C2777620828","wikidata":"https://www.wikidata.org/wiki/Q7582067","display_name":"Square lattice","level":3,"score":0.5937638282775879},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5431811213493347},{"id":"https://openalex.org/C113494165","wikidata":"https://www.wikidata.org/wiki/Q41693","display_name":"Prisoner's dilemma","level":3,"score":0.5266975164413452},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.490280419588089},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.47662603855133057},{"id":"https://openalex.org/C93733245","wikidata":"https://www.wikidata.org/wiki/Q3770642","display_name":"Symmetric game","level":5,"score":0.43540704250335693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38658297061920166},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3716827929019928},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.36671751737594604},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.2940502166748047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24257168173789978},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.22776895761489868},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07884728908538818},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127404010953","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404010953","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W132390648","https://openalex.org/W1567192045","https://openalex.org/W1586507888","https://openalex.org/W1982702511","https://openalex.org/W1997127073","https://openalex.org/W1999807601","https://openalex.org/W2007759681","https://openalex.org/W2020439593","https://openalex.org/W2024845611","https://openalex.org/W2025490132","https://openalex.org/W2061357247","https://openalex.org/W2062663664","https://openalex.org/W2071047902","https://openalex.org/W2088238658","https://openalex.org/W2092033088","https://openalex.org/W2148148791","https://openalex.org/W2159321250","https://openalex.org/W2163209142","https://openalex.org/W2996819925","https://openalex.org/W4243845907","https://openalex.org/W6606085309"],"related_works":["https://openalex.org/W1579425456","https://openalex.org/W2394785909","https://openalex.org/W3213853984","https://openalex.org/W1874300840","https://openalex.org/W1617329914","https://openalex.org/W2250168229","https://openalex.org/W2187558130","https://openalex.org/W3150925513","https://openalex.org/W1513451450","https://openalex.org/W2058728273"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2,106],"the":[3,28,42,65,68,73,81,105,128,131,169,173],"global":[4,145],"patterns":[5,146],"that":[6,32],"result":[7],"from":[8,72],"local":[9],"interactions":[10],"between":[11,23],"players":[12,24],"on":[13,21,27,51,63,127,168],"a":[14,52,87],"two-dimensional":[15],"lattice":[16,82],"are":[17,25,83,91,119,142,165],"studied.":[18,136],"The":[19,78,122],"assumptions":[20],"interaction":[22],"based":[26,62],"Prisoner's":[29],"Dilemma":[30],"game":[31,38],"has":[33],"been":[34],"used":[35],"extensively":[36],"in":[37,41],"theory":[39],"and":[40,55,100,150,158,162,172],"study":[43],"of":[44,76,80,124,130,140],"biological":[45],"systems.":[46],"Each":[47],"player":[48,111],"is":[49,56,107,134],"located":[50],"square":[53],"lattice,":[54],"assumed":[57],"to":[58,85],"cooperate":[59],"or":[60],"defect,":[61],"mimicking":[64],"neighbor":[66],"with":[67,110,117,147],"highest":[69],"cumulative":[70],"score":[71],"preceding":[74],"round":[75],"play.":[77],"edges":[79],"glued":[84],"form":[86],"torus.":[88],"Computer":[89],"simulations":[90],"conducted":[92],"for":[93],"different":[94,97,101],"sized":[95],"lattices,":[96],"payoff":[98,174],"values,":[99],"initial":[102,170],"conditions.":[103],"Though":[104],"primarily":[108],"concerned":[109],"behavior":[112,141],"without":[113],"self-interaction,":[114],"some":[115],"results":[116,153],"self-interaction":[118],"also":[120,135],"included.":[121],"influence":[123],"\"ideal\"":[125],"cooperators":[126],"evolution":[129],"system":[132],"dynamics":[133,149],"Three":[137],"generic":[138],"regimes":[139],"identified.":[143],"Complex":[144],"complicated":[148],"sometimes":[151],"unpredictable":[152],"occur.":[154],"Steady-state":[155],"solutions,":[156,161],"simple":[157],"complex":[159],"periodic":[160],"traveling":[163],"waves":[164],"observed":[166],"depending":[167],"conditions":[171],"values.":[175]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
