{"id":"https://openalex.org/W4385200321","doi":"https://doi.org/10.1088/1361-6544/ace39f","title":"Network dynamics with higher-order interactions: coupled cell hypernetworks for identical cells and synchrony","display_name":"Network dynamics with higher-order interactions: coupled cell hypernetworks for identical cells and synchrony","publication_year":2023,"publication_date":"2023-07-24","ids":{"openalex":"https://openalex.org/W4385200321","doi":"https://doi.org/10.1088/1361-6544/ace39f"},"language":"en","primary_location":{"id":"doi:10.1088/1361-6544/ace39f","doi":"https://doi.org/10.1088/1361-6544/ace39f","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1361-6544/ace39f","pdf_url":"https://iopscience.iop.org/article/10.1088/1361-6544/ace39f/pdf","source":{"id":"https://openalex.org/S158842918","display_name":"Nonlinearity","issn_l":"0951-7715","issn":["0951-7715","1361-6544"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinearity","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://iopscience.iop.org/article/10.1088/1361-6544/ace39f/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042476867","display_name":"Manuela Aguiar","orcid":"https://orcid.org/0000-0003-3508-0509","observed_orcids":["https://orcid.org/0000-0003-3508-0509"]},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I4405256450","display_name":"Centro de Matem\u00e1tica","ror":"https://ror.org/045yqyw06","country_code":"PT","type":"facility","lineage":["https://openalex.org/I182534213","https://openalex.org/I4405256450"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Manuela Aguiar","raw_affiliation_strings":["Manuela Aguiar, Faculdade de Economia, Centro de Matem\u00e1tica, Universidade do Porto, Rua Dr Roberto Frias, 4200-464 Porto, Portugal"],"raw_orcid":"https://orcid.org/0000-0003-3508-0509","affiliations":[{"raw_affiliation_string":"Manuela Aguiar, Faculdade de Economia, Centro de Matem\u00e1tica, Universidade do Porto, Rua Dr Roberto Frias, 4200-464 Porto, Portugal","institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4405256450"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082238589","display_name":"Christian Bick","orcid":"https://orcid.org/0000-0002-5238-1146","observed_orcids":["https://orcid.org/0000-0002-5238-1146"]},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Christian Bick","raw_affiliation_strings":["Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-5238-1146","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076144543","display_name":"Ana Paula S. Dias","orcid":"https://orcid.org/0000-0002-8852-6175","observed_orcids":["https://orcid.org/0000-0002-8852-6175"]},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I4405256450","display_name":"Centro de Matem\u00e1tica","ror":"https://ror.org/045yqyw06","country_code":"PT","type":"facility","lineage":["https://openalex.org/I182534213","https://openalex.org/I4405256450"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Ana Dias","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias, Centro de Matem\u00e1tica, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-8852-6175","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias, Centro de Matem\u00e1tica, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal","institution_ids":["https://openalex.org/I182534213","https://openalex.org/I4405256450"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082238589"],"corresponding_institution_ids":["https://openalex.org/I865915315"],"apc_list":{"value":3075,"currency":"USD","value_usd":3075},"apc_paid":{"value":3075,"currency":"USD","value_usd":3075},"fwci":1.2707,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.76992316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":99},"biblio":{"volume":"36","issue":"9","first_page":"4641","last_page":"4673"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9984999895095825,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10581","display_name":"Neural dynamics and brain function","score":0.00019999999494757503,"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/higher-order-interactions","display_name":"higher-order interactions","score":0.9850000143051147},{"id":"https://openalex.org/keywords/cluster-synchronization","display_name":"cluster synchronization","score":0.7289999723434448},{"id":"https://openalex.org/keywords/hypergraphs","display_name":"hypergraphs","score":0.6380000114440918},{"id":"https://openalex.org/keywords/bipartite-graphs","display_name":"bipartite graphs","score":0.8880000114440918},{"id":"https://openalex.org/keywords/network-dynamics","display_name":"network dynamics","score":0.7179999947547913}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.7025437951087952},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6924563646316528},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6370766758918762},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.6094106435775757},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.4776683747768402},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.45417213439941406},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4200275242328644},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.41220155358314514},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3874954581260681},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37755680084228516},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3307075798511505},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29301950335502625},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24140328168869019},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21790143847465515},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0912599265575409},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1088/1361-6544/ace39f","doi":"https://doi.org/10.1088/1361-6544/ace39f","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1361-6544/ace39f","pdf_url":"https://iopscience.iop.org/article/10.1088/1361-6544/ace39f/pdf","source":{"id":"https://openalex.org/S158842918","display_name":"Nonlinearity","issn_l":"0951-7715","issn":["0951-7715","1361-6544"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinearity","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2201.09379","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.09379","pdf_url":"https://arxiv.org/pdf/2201.09379","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:research.vu.nl:openaire/26c02b0c-22d0-4793-97fb-86bbc4463749","doi":null,"is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/26c02b0c-22d0-4793-97fb-86bbc4463749","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Aguiar, M, Bick, C & Dias, A 2023, 'Network dynamics with higher-order interactions : coupled cell hypernetworks for identical cells and synchrony', Nonlinearity, vol. 36, no. 9, pp. 4641-4673. https://doi.org/10.1088/1361-6544/ace39f","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2201.09379","doi":"https://doi.org/10.48550/arxiv.2201.09379","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2201.09379","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1088/1361-6544/ace39f","doi":"https://doi.org/10.1088/1361-6544/ace39f","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1361-6544/ace39f","pdf_url":"https://iopscience.iop.org/article/10.1088/1361-6544/ace39f/pdf","source":{"id":"https://openalex.org/S158842918","display_name":"Nonlinearity","issn_l":"0951-7715","issn":["0951-7715","1361-6544"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinearity","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1417438418","display_name":null,"funder_award_id":"PT2020","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G2091936972","display_name":"Centro de Matem\u00e1tica da Universidade do Porto","funder_award_id":"UID/MAT/00144/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G2673245850","display_name":null,"funder_award_id":"PT2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3024801343","display_name":null,"funder_award_id":"UID/MAT/ 00144/2013","funder_id":"https://openalex.org/F4320335191","funder_display_name":"Centro de Matem\u00e1tica Universidade do Porto"},{"id":"https://openalex.org/G4416386365","display_name":"Higher-order interactions and heteroclinic network dynamics","funder_award_id":"EP/T013613/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6894262005","display_name":null,"funder_award_id":"00144/2013","funder_id":"https://openalex.org/F4320335191","funder_display_name":"Centro de Matem\u00e1tica Universidade do Porto"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"},{"id":"https://openalex.org/F4320335191","display_name":"Centro de Matem\u00e1tica Universidade do Porto","ror":"https://ror.org/043pwc612"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385200321.pdf","grobid_xml":"https://content.openalex.org/works/W4385200321.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1546862091","https://openalex.org/W1964280187","https://openalex.org/W2005578818","https://openalex.org/W2045425785","https://openalex.org/W2049361047","https://openalex.org/W2052427582","https://openalex.org/W2075172199","https://openalex.org/W2111085435","https://openalex.org/W2119077806","https://openalex.org/W2129270652","https://openalex.org/W2141455508","https://openalex.org/W2147692639","https://openalex.org/W2227663272","https://openalex.org/W2260821673","https://openalex.org/W2299844414","https://openalex.org/W2416264939","https://openalex.org/W2529646244","https://openalex.org/W2562769762","https://openalex.org/W2883089381","https://openalex.org/W3015089477","https://openalex.org/W3033513666","https://openalex.org/W3118415704","https://openalex.org/W3133921777","https://openalex.org/W3158396846","https://openalex.org/W3183546786","https://openalex.org/W4252804454","https://openalex.org/W4389098232"],"related_works":["https://openalex.org/W4414213212","https://openalex.org/W4389098232","https://openalex.org/W4321392958","https://openalex.org/W7160166867","https://openalex.org/W6987442082","https://openalex.org/W4221051433","https://openalex.org/W4365445391","https://openalex.org/W4360616159","https://openalex.org/W7140126118","https://openalex.org/W4392444920"],"abstract_inverted_index":{"Abstract":[0],"Network":[1],"interactions":[2],"that":[3],"are":[4],"nonlinear":[5],"in":[6,45],"the":[7,23,37,98,108],"state":[8],"of":[9,41,101,107],"more":[10],"than":[11],"two":[12],"nodes\u2014also":[13],"known":[14],"as":[15,87],"higher-order":[16,50],"interactions\u2014can":[17],"have":[18],"a":[19,30,81,88,102],"profound":[20],"impact":[21],"on":[22],"collective":[24],"network":[25,46],"dynamics.":[26],"Here":[27],"we":[28,54,96],"develop":[29],"coupled":[31,60],"cell":[32,61],"hypernetwork":[33,103],"formalism":[34],"to":[35,104],"elucidate":[36],"existence":[38],"and":[39,72,94],"stability":[40],"(cluster)":[42],"synchronization":[43],"patterns":[44],"dynamical":[47],"systems":[48],"with":[49],"interactions.":[51],"More":[52],"specifically,":[53],"define":[55],"robust":[56],"synchrony":[57,99],"subspace":[58],"for":[59,76],"hypernetworks":[62],"whose":[63],"coupling":[64],"structure":[65],"is":[66],"determined":[67],"by":[68],"an":[69],"underlying":[70],"hypergraph":[71,82],"describe":[73],"those":[74],"spaces":[75],"general":[77],"such":[78],"hypernetworks.":[79],"Since":[80],"can":[83],"be":[84],"equivalently":[85],"represented":[86],"bipartite":[89],"graph":[90],"between":[91],"its":[92],"nodes":[93],"hyperedges,":[95],"relate":[97],"subspaces":[100],"balanced":[105],"colourings":[106],"corresponding":[109],"incidence":[110],"digraph.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-07-25T00:00:00"}
