{"id":"https://openalex.org/W1547888926","doi":"https://doi.org/10.1109/ijcnn.2005.1555951","title":"2 types of complex-valued Hopfield networks and the application to a traffic signal control","display_name":"2 types of complex-valued Hopfield networks and the application to a traffic signal control","publication_year":2006,"publication_date":"2006-01-05","ids":{"openalex":"https://openalex.org/W1547888926","doi":"https://doi.org/10.1109/ijcnn.2005.1555951","mag":"1547888926"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2005.1555951","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2005.1555951","pdf_url":null,"source":{"id":"https://openalex.org/S4363609022","display_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","raw_type":"proceedings-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/A5078994792","display_name":"Ikuko Nishikawa","orcid":"https://orcid.org/0000-0003-4780-0155"},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"I. Nishikawa","raw_affiliation_strings":["College of Information Science and Engineering, Ritsumeikan University, Shiga, Japan"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Ritsumeikan University, Shiga, Japan","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113386958","display_name":"Kazutoshi Sakakibara","orcid":"https://orcid.org/0009-0000-9786-8460"},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"K. Sakakibara","raw_affiliation_strings":["College of Information Science and Engineering, Ritsumeikan University, Shiga, Japan"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Ritsumeikan University, Shiga, Japan","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090290662","display_name":"Takeshi Iritani","orcid":null},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"T. Iritani","raw_affiliation_strings":["College of Information Science and Engineering, Ritsumeikan University, Shiga, Japan"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Ritsumeikan University, Shiga, Japan","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001161243","display_name":"Yasuaki Kuroe","orcid":"https://orcid.org/0000-0001-5126-0660"},"institutions":[{"id":"https://openalex.org/I27429435","display_name":"Kyoto Institute of Technology","ror":"https://ror.org/00965ax52","country_code":"JP","type":"education","lineage":["https://openalex.org/I27429435"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Y. Kuroe","raw_affiliation_strings":["Department of Electronics and Information Science, Kyoto Institute of Technology, Kyoto, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Information Science, Kyoto Institute of Technology, Kyoto, Japan","institution_ids":["https://openalex.org/I27429435"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078994792"],"corresponding_institution_ids":["https://openalex.org/I135768898"],"apc_list":null,"apc_paid":null,"fwci":1.309,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78718946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"782","last_page":"787"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.994700014591217,"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/hopfield-network","display_name":"Hopfield network","score":0.6811263561248779},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.5927100777626038},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5637363791465759},{"id":"https://openalex.org/keywords/phase-synchronization","display_name":"Phase synchronization","score":0.5024127960205078},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4980194568634033},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49015650153160095},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4833211898803711},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4532916247844696},{"id":"https://openalex.org/keywords/network-dynamics","display_name":"Network dynamics","score":0.4490722119808197},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4405287206172943},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.439056932926178},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4236519932746887},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.42126744985580444},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41935697197914124},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3315748870372772},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33032751083374023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30632495880126953},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17427191138267517},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15805110335350037},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14209502935409546},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1154034435749054},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10305562615394592}],"concepts":[{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.6811263561248779},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.5927100777626038},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5637363791465759},{"id":"https://openalex.org/C194027367","wikidata":"https://www.wikidata.org/wiki/Q4420475","display_name":"Phase synchronization","level":3,"score":0.5024127960205078},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4980194568634033},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49015650153160095},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4833211898803711},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4532916247844696},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.4490722119808197},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4405287206172943},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.439056932926178},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4236519932746887},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.42126744985580444},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41935697197914124},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3315748870372772},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33032751083374023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30632495880126953},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17427191138267517},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15805110335350037},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14209502935409546},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1154034435749054},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10305562615394592},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2005.1555951","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2005.1555951","pdf_url":null,"source":{"id":"https://openalex.org/S4363609022","display_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W1543056723","https://openalex.org/W1550596064","https://openalex.org/W1595432688","https://openalex.org/W2043388563","https://openalex.org/W2047515252","https://openalex.org/W2169563904"],"related_works":["https://openalex.org/W2063663506","https://openalex.org/W1586366284","https://openalex.org/W2297311436","https://openalex.org/W1963851439","https://openalex.org/W2977742100","https://openalex.org/W2073550304","https://openalex.org/W134880999","https://openalex.org/W3105628346","https://openalex.org/W2017771131","https://openalex.org/W4312082781"],"abstract_inverted_index":{"Dynamics":[0],"of":[1,4,20,26,36,39,52,56,67,79,84,93,102,106,157,168,176,213,233,244,260,262,266,279],"2":[2,46,277],"types":[3,47,278],"complex-valued":[5,28,69,249],"neural":[6,251],"network":[7,25,66,72,155,166,205],"is":[8,74,96,127,138,180,192,208,225,253],"numerically":[9,254],"analyzed.":[10],"In":[11,59],"[Kuroe,":[12],"Y,":[13,120,136],"et":[14],"al.,":[15],"2003],":[16],"some":[17],"mathematical":[18],"properties":[19],"a":[21,103,111,123,131,197,221,287],"mutually":[22],"connected":[23],"Hopfield-type":[24],"nonrotating":[27],"neurons":[29,160],"were":[30],"shown,":[31],"and":[32,50,82,118,247,272,296],"the":[33,37,53,57,64,77,80,91,94,100,146,154,165,173,184,204,211,226,242,258,263,267,273,276],"sufficient":[34],"conditions":[35],"existence":[38,174,212],"an":[40,177,214,229,234],"energy":[41,178,215],"function":[42,55,179],"are":[43,281],"derived":[44,181],"for":[45,171,187,228],"(types":[48],"A":[49,189,246],"B)":[51],"activation":[54],"neuron.":[58,86],"this":[60,150,240],"paper,":[61,241],"we":[62],"consider":[63],"Hopfield":[65],"rotating":[68,107,159,250],"neurons.":[70],"The":[71,270],"dynamics":[73,78,92,101,156,167,243,280],"decomposed":[75],"into":[76,164],"amplitude":[81],"phase":[83,108,124,132,198,222],"each":[85],"For":[87],"type":[88,142,151,188,245],"B":[89,143,152,248],"network,":[90,153,190],"phases":[95],"shown":[97,282],"to":[98,196,203],"be":[99,162],"coupled":[104],"system":[105,134,224],"oscillators":[109],"with":[110],"pair-wise":[112],"sinusoidal":[113],"phase-difference":[114],"interaction":[115],"[Nishikawa,":[116],"I":[117],"Kuroe,":[119],"2004].":[121],"Therefore":[122,238],"synchronization,":[125],"which":[126,172],"well":[128],"known":[129],"in":[130,141,149,239],"oscillator":[133,199,223],"[Kuramoto,":[135],"1984],":[137],"expected":[139],"also":[140],"network.":[144,237],"At":[145],"same":[147],"time":[148],"homogeneously":[158],"can":[161],"transformed":[163],"non-rotating":[169],"neurons,":[170],"condition":[175],"explicitly.":[182],"On":[183],"other":[185],"hand":[186],"there":[191],"no":[193],"such":[194],"correspondence":[195],"system,":[200],"nor":[201],"equivalence":[202],"whose":[206],"convergence":[207],"assured":[209],"by":[210],"function.":[216],"One":[217],"recent":[218],"result":[219],"on":[220,291],"effectiveness":[227],"area-wide":[230],"signal":[231,268],"control":[232,265],"urban":[235],"traffic":[236,289,293],"networks":[252],"investigated,":[255],"especially":[256],"from":[257],"point":[259],"view":[261],"effective":[264],"offset.":[269],"similarity":[271],"difference":[274],"between":[275],"through":[283],"computer":[284],"simulations":[285],"using":[286],"microscopic":[288],"simulator":[290],"several":[292],"flow":[294],"patterns":[295],"conditions.":[297]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}