{"id":"https://openalex.org/W4389349238","doi":"https://doi.org/10.1162/neco_a_01624","title":"Synchronization and Clustering in Complex Quadratic Networks","display_name":"Synchronization and Clustering in Complex Quadratic Networks","publication_year":2023,"publication_date":"2023-12-05","ids":{"openalex":"https://openalex.org/W4389349238","doi":"https://doi.org/10.1162/neco_a_01624","pmid":"https://pubmed.ncbi.nlm.nih.gov/38052081"},"language":"en","primary_location":{"id":"doi:10.1162/neco_a_01624","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_01624","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718","https://openalex.org/P4310316440"],"host_organization_lineage_names":["The MIT Press","Massachusetts Institute of Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5010854964","display_name":"Anca R\u01cedulescu","orcid":"https://orcid.org/0000-0002-2681-7233"},"institutions":[{"id":"https://openalex.org/I157455823","display_name":"SUNY New Paltz","ror":"https://ror.org/03j3dv688","country_code":"US","type":"education","lineage":["https://openalex.org/I157455823"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anca R\u01cedulescu","raw_affiliation_strings":["Department of Mathematics, SUNY New Paltz, New Paltz, NY 12561, U.S.A. radulesa@newpaltz.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SUNY New Paltz, New Paltz, NY 12561, U.S.A. radulesa@newpaltz.edu","institution_ids":["https://openalex.org/I157455823"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019261450","display_name":"Danae Evans","orcid":null},"institutions":[{"id":"https://openalex.org/I157455823","display_name":"SUNY New Paltz","ror":"https://ror.org/03j3dv688","country_code":"US","type":"education","lineage":["https://openalex.org/I157455823"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Danae Evans","raw_affiliation_strings":["Department of Physics, SUNY New Paltz, New Paltz, NY 12561, U.S.A. evansd8@newpaltz.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, SUNY New Paltz, New Paltz, NY 12561, U.S.A. evansd8@newpaltz.edu","institution_ids":["https://openalex.org/I157455823"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109661834","display_name":"Amani-Dasia Augustin","orcid":null},"institutions":[{"id":"https://openalex.org/I157455823","display_name":"SUNY New Paltz","ror":"https://ror.org/03j3dv688","country_code":"US","type":"education","lineage":["https://openalex.org/I157455823"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Amani-Dasia Augustin","raw_affiliation_strings":["Department of Biology, SUNY New Paltz, New Paltz, NY 12561, U.S.A. augustia4@newpaltz.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biology, SUNY New Paltz, New Paltz, NY 12561, U.S.A. augustia4@newpaltz.edu","institution_ids":["https://openalex.org/I157455823"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080199469","display_name":"Anthony Cooper","orcid":"https://orcid.org/0000-0002-7864-2981"},"institutions":[{"id":"https://openalex.org/I157455823","display_name":"SUNY New Paltz","ror":"https://ror.org/03j3dv688","country_code":"US","type":"education","lineage":["https://openalex.org/I157455823"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anthony Cooper","raw_affiliation_strings":["Department of Mathematics, SUNY New Paltz, New Paltz, NY 12561, U.S.A. coopera11@newpaltz.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SUNY New Paltz, New Paltz, NY 12561, U.S.A. coopera11@newpaltz.edu","institution_ids":["https://openalex.org/I157455823"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010926217","display_name":"Johan Nakuci","orcid":"https://orcid.org/0000-0002-0269-8559"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Johan Nakuci","raw_affiliation_strings":["School of Psychology, Georgia Institute of Technology, Atlanta, GA 30332, U.S.A. jnakuci3@gmail.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Psychology, Georgia Institute of Technology, Atlanta, GA 30332, U.S.A. jnakuci3@gmail.com","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015567863","display_name":"Sarah F. Muldoon","orcid":"https://orcid.org/0000-0002-2830-9291"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sarah Muldoon","raw_affiliation_strings":["Department of Mathematics, CDSE Program and Neuroscience Program, University at Buffalo, SUNY, Buffalo, NY 14260, U.S.A. smuldoon@buffalo.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, CDSE Program and Neuroscience Program, University at Buffalo, SUNY, Buffalo, NY 14260, U.S.A. smuldoon@buffalo.edu","institution_ids":["https://openalex.org/I63190737"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010854964","https://openalex.org/A5010926217","https://openalex.org/A5015567863","https://openalex.org/A5019261450","https://openalex.org/A5080199469","https://openalex.org/A5109661834"],"corresponding_institution_ids":["https://openalex.org/I130701444","https://openalex.org/I157455823","https://openalex.org/I63190737"],"apc_list":null,"apc_paid":null,"fwci":0.3049,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56552177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"36","issue":"1","first_page":"75","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10241","display_name":"Functional Brain Connectivity Studies","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"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9973000288009644,"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/complex-network","display_name":"Complex network","score":0.6894679665565491},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6593597531318665},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6246985197067261},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5882408618927002},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5750453472137451},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5739829540252686},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.5402822494506836},{"id":"https://openalex.org/keywords/mandelbrot-set","display_name":"Mandelbrot set","score":0.5197482109069824},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4649772644042969},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4493664503097534},{"id":"https://openalex.org/keywords/network-dynamics","display_name":"Network dynamics","score":0.42423075437545776},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3586403727531433},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3467341661453247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2665930688381195},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09677097201347351},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07781687378883362},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07379958033561707}],"concepts":[{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.6894679665565491},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6593597531318665},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6246985197067261},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5882408618927002},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5750453472137451},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5739829540252686},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.5402822494506836},{"id":"https://openalex.org/C97519476","wikidata":"https://www.wikidata.org/wiki/Q257","display_name":"Mandelbrot set","level":3,"score":0.5197482109069824},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4649772644042969},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4493664503097534},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.42423075437545776},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3586403727531433},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3467341661453247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2665930688381195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09677097201347351},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07781687378883362},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07379958033561707},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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":2,"locations":[{"id":"doi:10.1162/neco_a_01624","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_01624","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718","https://openalex.org/P4310316440"],"host_organization_lineage_names":["The MIT Press","Massachusetts Institute of Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:38052081","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38052081","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural computation","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1999890357","https://openalex.org/W2010862107","https://openalex.org/W2011592285","https://openalex.org/W2014022174","https://openalex.org/W2024729467","https://openalex.org/W2058046532","https://openalex.org/W2064921556","https://openalex.org/W2070722739","https://openalex.org/W2107199167","https://openalex.org/W2122410839","https://openalex.org/W2127389037","https://openalex.org/W2135266824","https://openalex.org/W2143491004","https://openalex.org/W2155338866","https://openalex.org/W2212651118","https://openalex.org/W2588048611","https://openalex.org/W2624821479","https://openalex.org/W2889306452","https://openalex.org/W2963119846","https://openalex.org/W2996506838","https://openalex.org/W3125007272","https://openalex.org/W3183775718","https://openalex.org/W4235770099","https://openalex.org/W4327842683","https://openalex.org/W4385503266"],"related_works":["https://openalex.org/W4384518057","https://openalex.org/W2365689671","https://openalex.org/W3105881406","https://openalex.org/W2075004210","https://openalex.org/W1522710368","https://openalex.org/W2463678424","https://openalex.org/W3167551645","https://openalex.org/W2772733144","https://openalex.org/W2573473619","https://openalex.org/W2146721763"],"abstract_inverted_index":{"Synchronization":[0],"and":[1,63,79,87,102,225],"clustering":[2,86,135],"are":[3],"well":[4],"studied":[5],"in":[6,26,36,46,129,169,187,222],"the":[7,61,70,73,82,140,145,153,181,206],"context":[8],"of":[9,11,60,72,76,84,91,95,113,147,165,185,191,219],"networks":[10,47,53,195,224],"oscillators,":[12],"such":[13],"as":[14],"neuronal":[15],"networks.":[16,29],"However,":[17],"this":[18,160],"relationship":[19,161],"is":[20,136],"notoriously":[21],"difficult":[22],"to":[23,33,111,173,175,208,213,216,231],"approach":[24],"mathematically":[25],"natural,":[27,232],"complex":[28,41,51,233],"Here,":[30,156],"we":[31,49,132,157],"aim":[32],"understand":[34],"it":[35],"a":[37,99],"canonical":[38],"framework,":[39],"using":[40,163,201],"quadratic":[42,52],"node":[43,85],"dynamics,":[44],"coupled":[45],"that":[48,109,134],"call":[50],"(CQNs).":[54],"We":[55,178],"review":[56],"previously":[57],"defined":[58],"extensions":[59],"Mandelbrot":[62,119],"Julia":[64],"sets":[65,78],"for":[66],"networks,":[67,167],"focusing":[68],"on":[69,80,122],"behavior":[71],"node-wise":[74],"projections":[75],"these":[77,148,210],"describing":[81],"phenomena":[83],"synchronization.":[88],"One":[89],"aspect":[90],"our":[92,123,217],"work":[93],"consists":[94],"exploring":[96],"ties":[97],"between":[98],"network's":[100],"connectivity":[101,142],"its":[103],"ensemble":[104],"dynamics":[105],"by":[106,139,152],"identifying":[107],"mechanisms":[108],"lead":[110],"clusters":[112,149],"nodes":[114],"exhibiting":[115],"identical":[116],"or":[117],"different":[118],"sets.":[120],"Based":[121],"preliminary":[124],"analytical":[125],"results":[126,230],"(obtained":[127],"primarily":[128],"two-dimensional":[130],"networks),":[131],"propose":[133],"strongly":[137],"determined":[138],"network":[141],"patterns,":[143],"with":[144],"geometry":[146],"further":[150],"controlled":[151],"connection":[154],"weights.":[155],"first":[158],"explore":[159],"further,":[162],"examples":[164],"synthetic":[166],"increasing":[168],"size":[170],"(from":[171],"3,":[172],"5,":[174],"20":[176],"nodes).":[177],"then":[179],"illustrate":[180],"potential":[182],"practical":[183],"implications":[184],"synchronization":[186],"an":[188],"existing":[189],"set":[190],"whole":[192],"brain,":[193],"tractography-based":[194],"obtained":[196],"from":[197],"197":[198],"human":[199],"subjects":[200],"diffusion":[202],"tensor":[203],"imaging.":[204],"Understanding":[205],"similarities":[207],"how":[209],"concepts":[211],"apply":[212],"CQNs":[214],"contributes":[215],"understanding":[218],"universal":[220],"principles":[221],"dynamic":[223],"may":[226],"help":[227],"extend":[228],"theoretical":[229],"systems.":[234]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
