{"id":"https://openalex.org/W2291158962","doi":"https://doi.org/10.1109/cdc.2015.7402686","title":"Analytic synchronization conditions for a network of Wilson and Cowan oscillators","display_name":"Analytic synchronization conditions for a network of Wilson and Cowan oscillators","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2291158962","doi":"https://doi.org/10.1109/cdc.2015.7402686","mag":"2291158962"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402686","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5068333385","display_name":"Saeed Ahmadizadeh","orcid":"https://orcid.org/0000-0002-0985-418X"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Saeed Ahmadizadeh","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC 3010, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035230630","display_name":"Dragan Ne\u0161i\u0107","orcid":"https://orcid.org/0000-0001-7944-0241"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dragan Ne\u0161i\u0107","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC 3010, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014100961","display_name":"David B. Grayden","orcid":"https://orcid.org/0000-0002-5497-7234"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"David B. Grayden","raw_affiliation_strings":["Centre for Neural Engineering, The University of Melbourne, Parkville, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Neural Engineering, The University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066512588","display_name":"Dean R. Freestone","orcid":"https://orcid.org/0000-0003-2411-5358"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]},{"id":"https://openalex.org/I4210087110","display_name":"St Vincent's Hospital Melbourne","ror":"https://ror.org/001kjn539","country_code":"AU","type":"healthcare","lineage":["https://openalex.org/I4210087110","https://openalex.org/I4210098850"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dean R. Freestone","raw_affiliation_strings":["Department of Medicine, St. Vincent's Hospital, The University of Melbourne, Parkville, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medicine, St. Vincent's Hospital, The University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595","https://openalex.org/I4210087110"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3104","last_page":"3109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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":0.9998999834060669,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.8675643801689148},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.7831965684890747},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.576579213142395},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5403850674629211},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.5376063585281372},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4911901652812958},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.49065008759498596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4674345552921295},{"id":"https://openalex.org/keywords/network-model","display_name":"Network model","score":0.4393289387226105},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.434329628944397},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.422566294670105},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.41455763578414917},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3519572615623474},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3446635603904724},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32944250106811523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25829219818115234},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2107640504837036},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20867833495140076},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09826990962028503},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09455469250679016}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.8675643801689148},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.7831965684890747},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.576579213142395},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5403850674629211},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.5376063585281372},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4911901652812958},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.49065008759498596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4674345552921295},{"id":"https://openalex.org/C104122410","wikidata":"https://www.wikidata.org/wiki/Q1416406","display_name":"Network model","level":2,"score":0.4393289387226105},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.434329628944397},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.422566294670105},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41455763578414917},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3519572615623474},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3446635603904724},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32944250106811523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25829219818115234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2107640504837036},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20867833495140076},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09826990962028503},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09455469250679016},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2015.7402686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402686","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1968435495","https://openalex.org/W1979813760","https://openalex.org/W1985940938","https://openalex.org/W2016354087","https://openalex.org/W2018052129","https://openalex.org/W2027439801","https://openalex.org/W2045734116","https://openalex.org/W2047993072","https://openalex.org/W2070765152","https://openalex.org/W2071090142","https://openalex.org/W2099684032","https://openalex.org/W2110216011","https://openalex.org/W2111079473","https://openalex.org/W2166877971","https://openalex.org/W2336839322"],"related_works":["https://openalex.org/W1586366284","https://openalex.org/W2477154101","https://openalex.org/W2063663506","https://openalex.org/W2297311436","https://openalex.org/W2969606317","https://openalex.org/W2573473619","https://openalex.org/W2772733144","https://openalex.org/W1522710368","https://openalex.org/W2388734098","https://openalex.org/W2139078427"],"abstract_inverted_index":{"We":[0,75,99],"investigate":[1],"the":[2,23,56,81,87,94,102,130],"problem":[3],"of":[4,9,25,27,50,91],"synchronization":[5,46,65,92,108,128],"in":[6,29,93,110,129],"a":[7,60,67,111,121],"network":[8,68,95,112],"homogeneous":[10],"Wilson-Cowan":[11],"oscillators":[12],"with":[13,96,113],"diffusive":[14],"coupling.":[15,74,98,115],"Such":[16],"networks":[17],"can":[18],"be":[19],"used":[20],"to":[21,33,43,84,105,126],"model":[22,58],"behavior":[24],"populations":[26],"neurons":[28],"cortical":[30],"tissue,":[31],"referred":[32],"as":[34],"neural":[35,51],"mass":[36,52],"models.":[37,53],"A":[38],"new":[39],"approach":[40,125],"is":[41],"proposed":[42,123],"address":[44],"local":[45],"for":[47,69],"these":[48],"types":[49],"By":[54],"exploiting":[55],"linearized":[57],"around":[59],"limit":[61],"cycle,":[62],"we":[63,119],"analyze":[64],"within":[66],"weak,":[70],"intermediate,":[71],"and":[72,80,135],"strong":[73,114],"use":[76,120],"two-time":[77],"scale":[78],"averaging":[79],"Chetaev":[82,103],"theorem":[83,104],"analytically":[85,106],"check":[86],"absence":[88],"or":[89],"presence":[90],"weak":[97],"also":[100],"utilize":[101],"prove":[107,127],"death":[109],"For":[116],"intermediate":[117],"coupling,":[118],"recently":[122],"numerical":[124],"network.":[131],"Simulation":[132],"results":[133],"confirm":[134],"illustrate":[136],"our":[137],"results.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}