{"id":"https://openalex.org/W1529944584","doi":"https://doi.org/10.23919/ecc.2013.6669604","title":"Linear reformulation of the Kuramoto model: Asymptotic mapping and stability properties","display_name":"Linear reformulation of the Kuramoto model: Asymptotic mapping and stability properties","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1529944584","doi":"https://doi.org/10.23919/ecc.2013.6669604","mag":"1529944584"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669604","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669604","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"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/A5079810155","display_name":"Laurie Conteville","orcid":null},"institutions":[{"id":"https://openalex.org/I83328450","display_name":"Miami University","ror":"https://ror.org/05nbqxr67","country_code":"US","type":"education","lineage":["https://openalex.org/I83328450"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR","US"],"is_corresponding":true,"raw_author_name":"Laurie Conteville","raw_affiliation_strings":["Electrical & Computer Engineering Department, Miami University, Oxford, Ohio","LSS, Univ. Paris 11, Paris, France"],"affiliations":[{"raw_affiliation_string":"Electrical & Computer Engineering Department, Miami University, Oxford, Ohio","institution_ids":["https://openalex.org/I83328450"]},{"raw_affiliation_string":"LSS, Univ. Paris 11, Paris, France","institution_ids":["https://openalex.org/I277688954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036042991","display_name":"Elena Panteley","orcid":"https://orcid.org/0000-0002-4565-9138"},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I83328450","display_name":"Miami University","ror":"https://ror.org/05nbqxr67","country_code":"US","type":"education","lineage":["https://openalex.org/I83328450"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Elena Panteley","raw_affiliation_strings":["Electrical & Computer Engineering Department, Miami University, Oxford, Ohio","L2S (Lab. of Signals & Syst.), Gif-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"Electrical & Computer Engineering Department, Miami University, Oxford, Ohio","institution_ids":["https://openalex.org/I83328450"]},{"raw_affiliation_string":"L2S (Lab. of Signals & Syst.), Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210097418"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079810155"],"corresponding_institution_ids":["https://openalex.org/I277688954","https://openalex.org/I83328450"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.05440428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"821","last_page":"826"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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":0.9998999834060669,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kuramoto-model","display_name":"Kuramoto model","score":0.7089754343032837},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6161307096481323},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5973883867263794},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49534884095191956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45302268862724304},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4514533281326294},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37588363885879517},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2805362939834595},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.21818292140960693},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.18576857447624207},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.147646963596344},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10542702674865723},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09984642267227173}],"concepts":[{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.7089754343032837},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6161307096481323},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5973883867263794},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49534884095191956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45302268862724304},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4514533281326294},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37588363885879517},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2805362939834595},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.21818292140960693},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18576857447624207},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.147646963596344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10542702674865723},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09984642267227173},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669604","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669604","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2168448159"],"related_works":["https://openalex.org/W3163395947","https://openalex.org/W4299867368","https://openalex.org/W1989590366","https://openalex.org/W2883218885","https://openalex.org/W2949454199","https://openalex.org/W2990558791","https://openalex.org/W2580263147","https://openalex.org/W2282239531","https://openalex.org/W2953464740","https://openalex.org/W4297847798"],"abstract_inverted_index":{"For":[0],"the":[1,18,25,38,81,89],"classical":[2],"\u201call-to-all\u201d":[3],"Kuramoto":[4,27,91],"model,":[5],"we":[6,45,76],"construct":[7],"a":[8,70],"family":[9,39,55],"of":[10,24,37,40],"auxiliary":[11],"linear":[12,41,85],"models":[13],"that":[14,47,78],"preserves":[15],"information":[16],"on":[17,31,88],"natural":[19],"frequencies":[20],"and":[21,29,59],"interconnection":[22],"gains":[23],"original":[26,90],"model":[28],"depends":[30],"its":[32,65],"phase-locked":[33],"solutions.":[34],"Stability":[35],"properties":[36],"systems":[42],"are":[43],"analyzed,":[44],"show":[46,77],"there":[48],"is":[49,57],"only":[50],"one":[51],"system":[52,86],"in":[53,80],"this":[54,84],"which":[56],"stable":[58,71],"for":[60],"almost":[61],"all":[62],"initial":[63],"conditions":[64],"solutions":[66],"exponentially":[67],"converge":[68],"to":[69],"periodic":[72],"limit":[73],"cycle.":[74],"Finally,":[75],"asymptotically,":[79],"time":[82],"limit,":[83],"maps":[87],"model.":[92]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
