{"id":"https://openalex.org/W2503347483","doi":"https://doi.org/10.1109/acc.2016.7525600","title":"Synchronization of Li\u00e9nard-type oscillators in uniform electrical networks","display_name":"Synchronization of Li\u00e9nard-type oscillators in uniform electrical networks","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2503347483","doi":"https://doi.org/10.1109/acc.2016.7525600","mag":"2503347483"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2016.7525600","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7525600","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","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/A5000977303","display_name":"Mohit Sinha","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohit Sinha","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota (UMN), Minneapolis, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota (UMN), Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091434894","display_name":"Florian D\u00f6rfler","orcid":"https://orcid.org/0000-0002-9649-5305"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Florian Dorfler","raw_affiliation_strings":["Automatic Control Laboratory, ETH Z\u00fcrich, Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, ETH Z\u00fcrich, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020529252","display_name":"Brian Johnson","orcid":"https://orcid.org/0000-0001-9122-172X"},"institutions":[{"id":"https://openalex.org/I1297288678","display_name":"National Laboratory of the Rockies","ror":"https://ror.org/036266993","country_code":"US","type":"facility","lineage":["https://openalex.org/I1297288678","https://openalex.org/I1330989302","https://openalex.org/I2800842121"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian B. Johnson","raw_affiliation_strings":["Power Systems Engineering Center, National Renewable Energy Laboratory (NREL), Golden, CO"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Power Systems Engineering Center, National Renewable Energy Laboratory (NREL), Golden, CO","institution_ids":["https://openalex.org/I1297288678"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081876985","display_name":"Sairaj V. Dhople","orcid":"https://orcid.org/0000-0002-1180-1415"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sairaj V. Dhople","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota (UMN), Minneapolis, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota (UMN), Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8407,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.93975108,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"4311","last_page":"4316"},"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"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9912999868392944,"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":0.9904999732971191,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7342931628227234},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.6678346991539001},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6599876880645752},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6311241984367371},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5157485604286194},{"id":"https://openalex.org/keywords/passivity","display_name":"Passivity","score":0.4791266620159149},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4250485897064209},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41601449251174927},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40352141857147217},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.36316150426864624},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0988084077835083}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7342931628227234},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.6678346991539001},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6599876880645752},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6311241984367371},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5157485604286194},{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.4791266620159149},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4250485897064209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41601449251174927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40352141857147217},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.36316150426864624},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0988084077835083},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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:10.1109/acc.2016.7525600","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7525600","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","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":29,"referenced_works":["https://openalex.org/W1598386873","https://openalex.org/W1985815049","https://openalex.org/W1998610299","https://openalex.org/W2015084265","https://openalex.org/W2018222071","https://openalex.org/W2029030701","https://openalex.org/W2038790644","https://openalex.org/W2045734116","https://openalex.org/W2068482355","https://openalex.org/W2098331784","https://openalex.org/W2110216011","https://openalex.org/W2111706310","https://openalex.org/W2124763082","https://openalex.org/W2144757232","https://openalex.org/W2162140350","https://openalex.org/W2168384971","https://openalex.org/W2169942737","https://openalex.org/W2172498959","https://openalex.org/W2250054796","https://openalex.org/W2266868740","https://openalex.org/W2289363636","https://openalex.org/W2313702332","https://openalex.org/W2594927309","https://openalex.org/W2949187207","https://openalex.org/W2962910558","https://openalex.org/W2964172734","https://openalex.org/W4253112633","https://openalex.org/W6691519264","https://openalex.org/W6693350380"],"related_works":["https://openalex.org/W2906741053","https://openalex.org/W2725748396","https://openalex.org/W2797340319","https://openalex.org/W2029114279","https://openalex.org/W2063663506","https://openalex.org/W1586366284","https://openalex.org/W2981327836","https://openalex.org/W2297311436","https://openalex.org/W153843616","https://openalex.org/W2397248170"],"abstract_inverted_index":{"This":[0,109],"paper":[1],"presents":[2],"a":[3,48,77,81,100],"condition":[4,143],"for":[5,36,43,47,104,134],"global":[6,44],"asymptotic":[7,45],"synchronization":[8,46,115,142],"of":[9,55,83,94,99,107,123,137,149],"Li\u00e9nard-type":[10],"nonlinear":[11],"oscillators":[12],"in":[13],"uniform":[14,25],"LTI":[15],"electrical":[16,26],"networks":[17,135],"with":[18],"series":[19,138],"R-L":[20,139],"circuits":[21],"modeling":[22],"interconnections.":[23],"By":[24],"networks,":[27],"we":[28],"mean":[29],"that":[30,86,163],"the":[31,37,53,56,61,69,72,91,97,146,150,155],"per-unit-length":[32],"impedances":[33],"are":[34,117],"identical":[35],"interconnecting":[38,68],"lines.":[39],"We":[40],"derive":[41],"conditions":[42,116],"particular":[49,92],"feedback":[50,64,95,130],"architecture":[51],"where":[52],"derivative":[54],"oscillator":[57,70],"output":[58],"current":[59,63,129],"supplements":[60],"innate":[62],"induced":[65],"by":[66,121],"simply":[67],"to":[71,80,119,168],"network.":[73],"Our":[74,141],"proof":[75],"leverages":[76],"coordinate":[78],"transformation":[79],"set":[82],"differential":[84],"coordinates":[85],"emphasizes":[87],"signal":[88],"differences":[89],"and":[90,133,153,160],"form":[93],"permits":[96],"formulation":[98],"quadratic":[101,124],"Lyapunov":[102,125],"function":[103],"this":[105],"class":[106],"networks.":[108],"approach":[110],"is":[111,131,166],"particularly":[112],"interesting":[113],"since":[114],"difficult":[118],"obtain":[120],"means":[122],"functions":[126],"when":[127],"only":[128],"used":[132],"composed":[136],"circuits.":[140],"depends":[144],"on":[145],"algebraic":[147],"connectivity":[148],"underlying":[151],"network,":[152],"reiterates":[154],"conventional":[156],"wisdom":[157],"from":[158],"Lyapunov-":[159],"passivity-based":[161],"arguments":[162],"strong":[164],"coupling":[165],"required":[167],"ensure":[169],"synchronization.":[170]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}