{"id":"https://openalex.org/W3209416121","doi":"https://doi.org/10.1142/s0218127421300408","title":"Group-Theoretic Bifurcation Mechanism of Economic Agglomerations on a Square Lattice","display_name":"Group-Theoretic Bifurcation Mechanism of Economic Agglomerations on a Square Lattice","publication_year":2021,"publication_date":"2021-10-01","ids":{"openalex":"https://openalex.org/W3209416121","doi":"https://doi.org/10.1142/s0218127421300408","mag":"3209416121"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127421300408","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421300408","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/A5022741078","display_name":"Yosuke Kogure","orcid":"https://orcid.org/0000-0003-1326-6679"},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Y. Kogure","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Tohoku University, Aoba, Sendai 980-8579, Japan"],"raw_orcid":"https://orcid.org/0000-0003-1326-6679","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Tohoku University, Aoba, Sendai 980-8579, Japan","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031616318","display_name":"Kiyohiro Ikeda","orcid":"https://orcid.org/0000-0002-0291-4346"},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"K. Ikeda","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Tohoku University, Aoba, Sendai 980-8579, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Tohoku University, Aoba, Sendai 980-8579, Japan","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077442961","display_name":"Hiroki Aizawa","orcid":"https://orcid.org/0000-0002-0929-6325"},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"H. Aizawa","raw_affiliation_strings":["School of Information Sciences, Tohoku University, Aoba, Sendai 980-8579, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Sciences, Tohoku University, Aoba, Sendai 980-8579, Japan","institution_ids":["https://openalex.org/I201537933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022741078"],"corresponding_institution_ids":["https://openalex.org/I201537933"],"apc_list":null,"apc_paid":null,"fwci":1.8086,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90495502,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"31","issue":"13","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11014","display_name":"Regional Economics and Spatial Analysis","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11014","display_name":"Regional Economics and Spatial Analysis","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.970300018787384,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13402","display_name":"Business Strategy and Innovation","score":0.9663000106811523,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/square-lattice","display_name":"Square lattice","score":0.794683575630188},{"id":"https://openalex.org/keywords/urban-agglomeration","display_name":"Urban agglomeration","score":0.6826687455177307},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6005858182907104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5389310717582703},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.505467414855957},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.4927103817462921},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4899391531944275},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4775581955909729},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4616697132587433},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37085598707199097},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32562339305877686},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2452307641506195},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2319183349609375},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20167991518974304},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.18318060040473938},{"id":"https://openalex.org/keywords/economic-geography","display_name":"Economic geography","score":0.1621667742729187},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1545361578464508}],"concepts":[{"id":"https://openalex.org/C2777620828","wikidata":"https://www.wikidata.org/wiki/Q7582067","display_name":"Square lattice","level":3,"score":0.794683575630188},{"id":"https://openalex.org/C154611951","wikidata":"https://www.wikidata.org/wiki/Q393233","display_name":"Urban agglomeration","level":2,"score":0.6826687455177307},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6005858182907104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5389310717582703},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.505467414855957},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.4927103817462921},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4899391531944275},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4775581955909729},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4616697132587433},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37085598707199097},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32562339305877686},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2452307641506195},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2319183349609375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20167991518974304},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.18318060040473938},{"id":"https://openalex.org/C26271046","wikidata":"https://www.wikidata.org/wiki/Q187097","display_name":"Economic geography","level":1,"score":0.1621667742729187},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1545361578464508},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127421300408","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421300408","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":[],"awards":[{"id":"https://openalex.org/G1666057738","display_name":null,"funder_award_id":"21K04299","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G6223305874","display_name":null,"funder_award_id":"18K04380","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1562427428","https://openalex.org/W1567092208","https://openalex.org/W1965778005","https://openalex.org/W1981476216","https://openalex.org/W1986769726","https://openalex.org/W1996259624","https://openalex.org/W2009124915","https://openalex.org/W2024476127","https://openalex.org/W2027538922","https://openalex.org/W2030439670","https://openalex.org/W2040032091","https://openalex.org/W2058787848","https://openalex.org/W2120366814","https://openalex.org/W2121546766","https://openalex.org/W2122329937","https://openalex.org/W2134393106","https://openalex.org/W2168699659","https://openalex.org/W2464777200","https://openalex.org/W2803861565","https://openalex.org/W2898187704","https://openalex.org/W2910918061","https://openalex.org/W2955699151","https://openalex.org/W2972494483","https://openalex.org/W3022519020","https://openalex.org/W3028111089","https://openalex.org/W3114767154","https://openalex.org/W3121519629","https://openalex.org/W4231092427","https://openalex.org/W4243592922"],"related_works":["https://openalex.org/W2068526439","https://openalex.org/W2623056133","https://openalex.org/W2039426947","https://openalex.org/W2758139658","https://openalex.org/W2584245937","https://openalex.org/W4298079101","https://openalex.org/W1973582722","https://openalex.org/W2024598823","https://openalex.org/W2359104642","https://openalex.org/W3152383982"],"abstract_inverted_index":{"We":[0,88],"elucidate":[1],"the":[2,5,28,31,44,49,62,71,78,93,132,136,147],"mechanism":[3,134],"of":[4,7,30,64,77,98,135,138,149],"self-organization":[6],"square":[8,20,32,94],"agglomeration":[9],"patterns":[10,42,66,91,124],"that":[11,67,118,141],"are":[12,53,68],"described":[13],"by":[14,108],"spatial":[15,85,104,150],"economic":[16,86,105,139,151],"models":[17],"on":[18,27,92],"a":[19,36,102,116],"lattice":[21,95],"with":[22],"periodic":[23],"boundary":[24],"conditions.":[25],"Focusing":[26],"symmetry":[29],"lattice,":[33],"we":[34,58,113],"conduct":[35],"group-theoretic":[37],"analysis":[38],"and":[39,110],"obtain":[40],"bifurcating":[41,119],"from":[43],"uniform":[45],"distribution.":[46],"Furthermore,":[47],"for":[48,74,84],"replicator":[50],"dynamics,":[51],"which":[52],"widely":[54],"used":[55],"in":[56,146],"economics,":[57],"pay":[59],"attention":[60],"to":[61,70,143],"existence":[63],"invariant":[65,90,123],"solutions":[69,120],"governing":[72],"equation":[73],"any":[75],"value":[76],"bifurcation":[79],"parameter":[80],"(the":[81],"trade":[82],"freeness":[83],"models).":[87],"advance":[89],"as":[96,131],"candidates":[97],"stable":[99],"equilibria.":[100],"Using":[101],"prototype":[103],"model":[106],"proposed":[107],"Forslid":[109],"Ottaviano":[111],"[2003],":[112],"numerically":[114],"show":[115],"tendency":[117,128],"arrive":[121],"at":[122],"after":[125],"bifurcation.":[126],"This":[127],"is":[129,142],"advanced":[130],"underlying":[133],"progress":[137],"agglomerations":[140],"be":[144],"considered":[145],"study":[148],"agglomerations.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
