{"id":"https://openalex.org/W3102452050","doi":"https://doi.org/10.1142/s0218127406014551","title":"CHIMERA STATES IN A RING OF NONLOCALLY COUPLED OSCILLATORS","display_name":"CHIMERA STATES IN A RING OF NONLOCALLY COUPLED OSCILLATORS","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W3102452050","doi":"https://doi.org/10.1142/s0218127406014551","mag":"3102452050"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406014551","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/nlin/0504046","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086653394","display_name":"Daniel M. Abrams","orcid":"https://orcid.org/0000-0002-6015-8358"},"institutions":[],"countries":["DK"],"is_corresponding":false,"raw_author_name":"DANIEL M. ABRAMS","raw_affiliation_strings":["Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen \u00d8, Denmark"],"affiliations":[{"raw_affiliation_string":"Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen \u00d8, Denmark","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029418921","display_name":"Steven H. Strogatz","orcid":"https://orcid.org/0000-0003-2923-3118"},"institutions":[],"countries":["DK"],"is_corresponding":false,"raw_author_name":"STEVEN H. STROGATZ","raw_affiliation_strings":["Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen \u00d8, Denmark"],"affiliations":[{"raw_affiliation_string":"Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen \u00d8, Denmark","institution_ids":[]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.879,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":182,"citation_normalized_percentile":{"value":0.999944,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"16","issue":"01","first_page":"21","last_page":"37"},"is_retracted":false,"is_paratext":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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9746,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9651,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chimera","display_name":"Chimera (genetics)","score":0.5445476},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.45747542},{"id":"https://openalex.org/keywords/collective-behavior","display_name":"Collective Behavior","score":0.4166791}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6595889},{"id":"https://openalex.org/C30278631","wikidata":"https://www.wikidata.org/wiki/Q281721","display_name":"Chimera (genetics)","level":3,"score":0.5445476},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.5238711},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5111676},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4577694},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.45747542},{"id":"https://openalex.org/C100339178","wikidata":"https://www.wikidata.org/wiki/Q2548752","display_name":"Collective behavior","level":2,"score":0.4166791},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38211668},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3449941},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2959768},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19608852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18651897},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1579898},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406014551","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/nlin/0504046","pdf_url":"http://arxiv.org/pdf/nlin/0504046","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/nlin/0504046","pdf_url":"https://arxiv.org/pdf/nlin/0504046","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.nlin/0504046","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/nlin/0504046","pdf_url":"http://arxiv.org/pdf/nlin/0504046","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":["https://openalex.org/W1980165500","https://openalex.org/W3102452050"],"referenced_works_count":29,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W1577158272","https://openalex.org/W1580102666","https://openalex.org/W1926161244","https://openalex.org/W1974748592","https://openalex.org/W1988041861","https://openalex.org/W1989155718","https://openalex.org/W1996113283","https://openalex.org/W2008920566","https://openalex.org/W2009864718","https://openalex.org/W2018314770","https://openalex.org/W2033770904","https://openalex.org/W2035538683","https://openalex.org/W2048694619","https://openalex.org/W2052347015","https://openalex.org/W2057175858","https://openalex.org/W2057620327","https://openalex.org/W2081696580","https://openalex.org/W2086126894","https://openalex.org/W2088678566","https://openalex.org/W2092839792","https://openalex.org/W2095764889","https://openalex.org/W2111932266","https://openalex.org/W2130518506","https://openalex.org/W2155815687","https://openalex.org/W2160229024","https://openalex.org/W4251156876","https://openalex.org/W4255777804","https://openalex.org/W4300349125"],"related_works":["https://openalex.org/W4391974846","https://openalex.org/W4323543351","https://openalex.org/W4316500148","https://openalex.org/W3010892009","https://openalex.org/W2897519367","https://openalex.org/W2887889047","https://openalex.org/W2583248760","https://openalex.org/W2064439451","https://openalex.org/W2034828171","https://openalex.org/W1974642509"],"abstract_inverted_index":{"Arrays":[0],"of":[1,13,57,79,103,120,157],"identical":[2],"limit-cycle":[3],"oscillators":[4,122],"have":[5,83],"been":[6,85],"used":[7],"to":[8,32,42,99],"model":[9],"a":[10,53,117,126,138,142,150],"wide":[11],"variety":[12],"pattern-forming":[14],"systems,":[15],"such":[16],"as":[17],"neural":[18],"networks,":[19],"convecting":[20],"fluids,":[21],"laser":[22],"arrays":[23],"and":[24,39,45,49,69,147],"coupled":[25,123],"biochemical":[26],"oscillators.":[27,80],"These":[28],"systems":[29,88],"are":[30,96],"known":[31],"exhibit":[33],"rich":[34],"collective":[35],"behavior,":[36],"from":[37,141],"synchrony":[38],"traveling":[40],"waves":[41],"spatiotemporal":[43],"chaos":[44],"incoherence.":[46],"Recently,":[47],"Kuramoto":[48],"his":[50],"colleagues":[51],"reported":[52],"strange":[54],"new":[55],"mode":[56],"organization":[58],"\u2014":[59,65],"here":[60],"called":[61],"the":[62,76,100,113,133],"chimera":[63,114,134],"state":[64],"in":[66,75,87,137,149],"which":[67],"coherence":[68],"incoherence":[70],"exist":[71],"side":[72,74],"by":[73,125],"same":[77],"system":[78],"Such":[81],"states":[82],"never":[84],"seen":[86],"with":[89,153],"either":[90],"local":[91],"or":[92],"global":[93],"coupling;":[94],"they":[95],"apparently":[97],"peculiar":[98],"intermediate":[101],"case":[102],"nonlocal":[104],"coupling.":[105],"Here":[106],"we":[107],"give":[108],"an":[109,154],"exact":[110],"solution":[111],"for":[112,116],"state,":[115,146],"one-dimensional":[118],"ring":[119],"phase":[121],"nonlocally":[124],"cosine":[127],"kernel.":[128],"The":[129],"analysis":[130],"reveals":[131],"that":[132],"is":[135],"born":[136],"continuous":[139],"bifurcation":[140],"spatially":[143],"modulated":[144],"drift":[145],"dies":[148],"saddle-node":[151],"collision":[152],"unstable":[155],"version":[156],"itself.":[158]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3102452050","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":20},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":21},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":6}],"updated_date":"2025-03-22T23:10:05.678333","created_date":"2020-11-23"}