{"id":"https://openalex.org/W2031574348","doi":"https://doi.org/10.1007/s00332-010-9083-9","title":"Dynamics of Coupled Cell Networks: Synchrony, Heteroclinic Cycles and Inflation","display_name":"Dynamics of Coupled Cell Networks: Synchrony, Heteroclinic Cycles and Inflation","publication_year":2010,"publication_date":"2010-11-10","ids":{"openalex":"https://openalex.org/W2031574348","doi":"https://doi.org/10.1007/s00332-010-9083-9","mag":"2031574348"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-010-9083-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-010-9083-9","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"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"},"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"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"M. Aguiar","raw_affiliation_strings":["CMUP and Faculdade de Economia, Universidade do Porto, Rua Dr Roberto Frias, 4200-464, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"CMUP and Faculdade de Economia, Universidade do Porto, Rua Dr Roberto Frias, 4200-464, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075036871","display_name":"Peter Ashwin","orcid":"https://orcid.org/0000-0001-7330-4951"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"P. Ashwin","raw_affiliation_strings":["Mathematics Research Institute, SECaM, University of Exeter, Exeter, EX4 4QF, UK"],"affiliations":[{"raw_affiliation_string":"Mathematics Research Institute, SECaM, University of Exeter, Exeter, EX4 4QF, UK","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076144543","display_name":"Ana Paula S. Dias","orcid":"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"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"A. Dias","raw_affiliation_strings":["CMUP and Dep. de Matem\u00e1tica, Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"CMUP and Dep. de Matem\u00e1tica, Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006566955","display_name":"Martha S. Field","orcid":"https://orcid.org/0000-0001-7547-5180"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. Field","raw_affiliation_strings":["Department of Mathematics, University of Houston, Houston, TX, 77204-3008, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, Houston, TX, 77204-3008, USA","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006566955"],"corresponding_institution_ids":["https://openalex.org/I44461941"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":6.3225,"has_fulltext":false,"cited_by_count":88,"citation_normalized_percentile":{"value":0.96702059,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"21","issue":"2","first_page":"271","last_page":"323"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"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":0.9998000264167786,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9955000281333923,"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/linear-subspace","display_name":"Linear subspace","score":0.6700400710105896},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.60863196849823},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.5891151428222656},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5831989049911499},{"id":"https://openalex.org/keywords/network-dynamics","display_name":"Network dynamics","score":0.5443997979164124},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5326027274131775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5133242011070251},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4715152978897095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4350453317165375},{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.4348950982093811},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.4191465973854065},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4168485999107361},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28970223665237427},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28101372718811035},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1757841408252716},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12671828269958496},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09213390946388245},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09198233485221863}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6700400710105896},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.60863196849823},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.5891151428222656},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5831989049911499},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.5443997979164124},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5326027274131775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5133242011070251},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4715152978897095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4350453317165375},{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.4348950982093811},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.4191465973854065},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4168485999107361},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28970223665237427},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28101372718811035},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1757841408252716},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12671828269958496},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09213390946388245},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09198233485221863},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00332-010-9083-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-010-9083-9","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.157.4570","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.157.4570","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.uh.edu/~mike/cycles/cycles2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.216.1259","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.216.1259","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.uh.edu/%7Emike/cycles/cycles2.pdf","raw_type":"text"},{"id":"pmh:oai:figshare.com:article/29686835","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"Journal contribution"},{"id":"pmh:oai:ore.exeter.ac.uk:10036/4440","is_oa":false,"landing_page_url":"http://hdl.handle.net/10036/4440","pdf_url":null,"source":{"id":"https://openalex.org/S4306401998","display_name":"Open Research Exeter (University of Exeter)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I23923803","host_organization_name":"University of Exeter","host_organization_lineage":["https://openalex.org/I23923803"],"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":"Article"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/29686835","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"Journal contribution"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W257442556","https://openalex.org/W564736863","https://openalex.org/W950991549","https://openalex.org/W1515138319","https://openalex.org/W1590824230","https://openalex.org/W1620414136","https://openalex.org/W1965778005","https://openalex.org/W1969836308","https://openalex.org/W1970106721","https://openalex.org/W1972211900","https://openalex.org/W1990028683","https://openalex.org/W1996272580","https://openalex.org/W1999617885","https://openalex.org/W2000220310","https://openalex.org/W2001302919","https://openalex.org/W2001391313","https://openalex.org/W2007020702","https://openalex.org/W2007648542","https://openalex.org/W2020030910","https://openalex.org/W2020254517","https://openalex.org/W2027666633","https://openalex.org/W2032150785","https://openalex.org/W2034596939","https://openalex.org/W2036153627","https://openalex.org/W2036381498","https://openalex.org/W2043691077","https://openalex.org/W2045425785","https://openalex.org/W2047689832","https://openalex.org/W2064608742","https://openalex.org/W2064824211","https://openalex.org/W2068116750","https://openalex.org/W2069057611","https://openalex.org/W2071247863","https://openalex.org/W2085728653","https://openalex.org/W2086794075","https://openalex.org/W2089110881","https://openalex.org/W2091086093","https://openalex.org/W2094167370","https://openalex.org/W2097457784","https://openalex.org/W2099306158","https://openalex.org/W2101553812","https://openalex.org/W2102890423","https://openalex.org/W2110026210","https://openalex.org/W2111085435","https://openalex.org/W2115939259","https://openalex.org/W2126606094","https://openalex.org/W2129270652","https://openalex.org/W2130518506","https://openalex.org/W2150493044","https://openalex.org/W2152254017","https://openalex.org/W2153225322","https://openalex.org/W2156331297","https://openalex.org/W2157540413","https://openalex.org/W2158263287","https://openalex.org/W2161019412","https://openalex.org/W2490393770","https://openalex.org/W2500036465","https://openalex.org/W2939526335","https://openalex.org/W4206085423","https://openalex.org/W4206805073","https://openalex.org/W4236459581","https://openalex.org/W4241364206","https://openalex.org/W4252804454","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4226329279","https://openalex.org/W1527571384","https://openalex.org/W2383189914","https://openalex.org/W2963840034","https://openalex.org/W1464403884","https://openalex.org/W2108117187","https://openalex.org/W2015173963","https://openalex.org/W3015125480","https://openalex.org/W2140187929","https://openalex.org/W4362633503"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":8},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
