{"id":"https://openalex.org/W2995419412","doi":"https://doi.org/10.1137/18m1210150","title":"Multiclusters in Networks of Adaptively Coupled Phase Oscillators","display_name":"Multiclusters in Networks of Adaptively Coupled Phase Oscillators","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2995419412","doi":"https://doi.org/10.1137/18m1210150","mag":"2995419412"},"language":"en","primary_location":{"id":"doi:10.1137/18m1210150","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1210150","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1809.00573","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020803074","display_name":"Rico Berner","orcid":"https://orcid.org/0000-0003-4821-3366"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Rico Berner","raw_affiliation_strings":["Institute of Mathematics, Technische Universit\u00e4t Berlin, Strasse des 17. Juni 136, D-10623 Berlin, Germany","Institute of Theoretical Physics, Technische Universit\u00e4t Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany,"],"raw_orcid":"https://orcid.org/0000-0003-4821-3366","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Technische Universit\u00e4t Berlin, Strasse des 17. Juni 136, D-10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Institute of Theoretical Physics, Technische Universit\u00e4t Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany,","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021516635","display_name":"Eckehard Sch\u00f6ll","orcid":"https://orcid.org/0000-0002-7318-2672"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eckehard Sch\u00f6ll","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5062479318","display_name":"Serhiy Yanchuk","orcid":"https://orcid.org/0000-0003-1628-9569"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Serhiy Yanchuk","raw_affiliation_strings":["Institute of Mathematics, Technische Universit\u00e4t Berlin, Strasse des 17. Juni 136, D-10623 Berlin, Germany","Institute of Theoretical Physics, Technische Universit\u00e4t Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Technische Universit\u00e4t Berlin, Strasse des 17. Juni 136, D-10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Institute of Theoretical Physics, Technische Universit\u00e4t Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany,","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020803074"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":7.057,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.97327125,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"18","issue":"4","first_page":"2227","last_page":"2266"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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":1.0,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9991999864578247,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9983999729156494,"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/multistability","display_name":"Multistability","score":0.93253493309021},{"id":"https://openalex.org/keywords/antipodal-point","display_name":"Antipodal point","score":0.8005552887916565},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.6686468124389648},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5020918846130371},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5000712871551514},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49231231212615967},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.48103076219558716},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38371503353118896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20529618859291077},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08879116177558899},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08380362391471863}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.93253493309021},{"id":"https://openalex.org/C70943382","wikidata":"https://www.wikidata.org/wiki/Q505356","display_name":"Antipodal point","level":2,"score":0.8005552887916565},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.6686468124389648},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5020918846130371},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5000712871551514},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49231231212615967},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48103076219558716},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38371503353118896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20529618859291077},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08879116177558899},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08380362391471863},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m1210150","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1210150","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1809.00573","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.00573","pdf_url":"https://arxiv.org/pdf/1809.00573","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1809.00573","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.00573","pdf_url":"https://arxiv.org/pdf/1809.00573","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5869334651","display_name":null,"funder_award_id":"307/15-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7157011143","display_name":null,"funder_award_id":"YA 225/3-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8153948683","display_name":null,"funder_award_id":"SCHO 307/15-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W91588129","https://openalex.org/W595019922","https://openalex.org/W1489333352","https://openalex.org/W1505026374","https://openalex.org/W1620414136","https://openalex.org/W1892645290","https://openalex.org/W1926161244","https://openalex.org/W1966048839","https://openalex.org/W1976485125","https://openalex.org/W1978718151","https://openalex.org/W1981270967","https://openalex.org/W1982056927","https://openalex.org/W1982575777","https://openalex.org/W1983879740","https://openalex.org/W1984401288","https://openalex.org/W1986246844","https://openalex.org/W1992592908","https://openalex.org/W1994140175","https://openalex.org/W1994178432","https://openalex.org/W2003666303","https://openalex.org/W2018141527","https://openalex.org/W2018903956","https://openalex.org/W2026177854","https://openalex.org/W2033770904","https://openalex.org/W2034831021","https://openalex.org/W2041775857","https://openalex.org/W2047787641","https://openalex.org/W2051714532","https://openalex.org/W2059148040","https://openalex.org/W2063410775","https://openalex.org/W2067865347","https://openalex.org/W2090387128","https://openalex.org/W2090480880","https://openalex.org/W2091567533","https://openalex.org/W2093267497","https://openalex.org/W2107433900","https://openalex.org/W2113239165","https://openalex.org/W2121239718","https://openalex.org/W2130518506","https://openalex.org/W2140422656","https://openalex.org/W2150135821","https://openalex.org/W2168448159","https://openalex.org/W2296319761","https://openalex.org/W2307644894","https://openalex.org/W2312366748","https://openalex.org/W2313917255","https://openalex.org/W2317348064","https://openalex.org/W2321920940","https://openalex.org/W2346463431","https://openalex.org/W2410472643","https://openalex.org/W2419220035","https://openalex.org/W2768012361","https://openalex.org/W2776370511","https://openalex.org/W3099441464","https://openalex.org/W3104398963"],"related_works":["https://openalex.org/W1527571384","https://openalex.org/W2383189914","https://openalex.org/W4301445084","https://openalex.org/W2963840034","https://openalex.org/W1984975294","https://openalex.org/W1964251919","https://openalex.org/W4226178663","https://openalex.org/W1517717759","https://openalex.org/W2316579689","https://openalex.org/W3199953569"],"abstract_inverted_index":{"Dynamical":[0],"systems":[1,11,44],"on":[2],"networks":[3,35],"with":[4,36,54,120],"adaptive":[5],"couplings":[6],"appear":[7],"naturally":[8],"in":[9,92,136],"real-world":[10],"such":[12,43],"as":[13],"power":[14],"grid":[15],"networks,":[16,18],"social":[17],"and":[19,76,98,131],"neuronal":[20,34],"networks.":[21],"We":[22,124],"investigate":[23],"a":[24,121,139],"paradigmatic":[25],"system":[26],"of":[27,42,47,52,83,142],"adaptively":[28],"coupled":[29],"phase":[30],"oscillators":[31,53,85],"inspired":[32],"by":[33],"synaptic":[37],"plasticity.":[38],"One":[39],"important":[40],"behavior":[41],"reveals":[45],"splitting":[46],"the":[48,55,84],"network":[49],"into":[50],"clusters":[51,60,109],"same":[56],"frequencies,":[57],"where":[58,107],"different":[59,63,93,108,111],"correspond":[61],"to":[62,105],"frequencies.":[64],"Starting":[65],"from":[66],"one-cluster":[67],"solutions":[68,75],"we":[69],"provide":[70,126],"existence":[71],"criteria":[72],"for":[73,129],"multicluster":[74,132],"present":[77],"their":[78],"explicit":[79],"form.":[80],"The":[81],"phases":[82],"within":[86],"one":[87],"cluster":[88,117],"can":[89,118],"be":[90],"organized":[91],"patterns:":[94],"antipodal,":[95,97],"double":[96],"splay":[99,122],"type.":[100],"Interestingly,":[101],"multiclusters":[102],"are":[103],"shown":[104],"exist":[106],"exhibit":[110],"patterns.":[112],"For":[113],"instance,":[114],"an":[115],"antipodal":[116],"coexist":[119],"cluster.":[123],"also":[125],"stability":[127],"conditions":[128],"one-":[130],"solutions.":[133],"These":[134],"conditions,":[135],"particular,":[137],"reveal":[138],"high":[140],"level":[141],"multistability.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-12-26T00:00:00"}
