{"id":"https://openalex.org/W2528670639","doi":"https://doi.org/10.1109/cca.2016.7587973","title":"Dominance of the 1-twisted equilibrium point for Kuramoto coupled oscillators with underlying Harary graphs","display_name":"Dominance of the 1-twisted equilibrium point for Kuramoto coupled oscillators with underlying Harary graphs","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2528670639","doi":"https://doi.org/10.1109/cca.2016.7587973","mag":"2528670639"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2016.7587973","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2016.7587973","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Conference on Control Applications (CCA)","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/A5085419342","display_name":"Eduardo Canale","orcid":"https://orcid.org/0000-0002-1311-6497"},"institutions":[{"id":"https://openalex.org/I180910786","display_name":"Universidad de la Rep\u00fablica","ror":"https://ror.org/030bbe882","country_code":"UY","type":"education","lineage":["https://openalex.org/I180910786"]}],"countries":["UY"],"is_corresponding":true,"raw_author_name":"Eduardo Canale","raw_affiliation_strings":["Faculty of Engineering, Universidad de la Rep\u00fablica, Uruguay"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Universidad de la Rep\u00fablica, Uruguay","institution_ids":["https://openalex.org/I180910786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012087722","display_name":"Pablo Monz\u00f3n","orcid":"https://orcid.org/0000-0001-7924-681X"},"institutions":[{"id":"https://openalex.org/I180910786","display_name":"Universidad de la Rep\u00fablica","ror":"https://ror.org/030bbe882","country_code":"UY","type":"education","lineage":["https://openalex.org/I180910786"]}],"countries":["UY"],"is_corresponding":false,"raw_author_name":"Pablo Monzon","raw_affiliation_strings":["Faculty of Engineering, Universidad de la Rep\u00fablica, Uruguay"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Universidad de la Rep\u00fablica, Uruguay","institution_ids":["https://openalex.org/I180910786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085419342"],"corresponding_institution_ids":["https://openalex.org/I180910786"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1231651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":null,"first_page":"1221","last_page":"1225"},"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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9510999917984009,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6496216058731079},{"id":"https://openalex.org/keywords/kuramoto-model","display_name":"Kuramoto model","score":0.6158008575439453},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.5542376637458801},{"id":"https://openalex.org/keywords/dominance","display_name":"Dominance (genetics)","score":0.4934135973453522},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4930262267589569},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4918491840362549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48556992411613464},{"id":"https://openalex.org/keywords/topological-graph-theory","display_name":"Topological graph theory","score":0.48233625292778015},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4773290753364563},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4207669496536255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3968440294265747},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2803723216056824},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.1270052194595337},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12459999322891235},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.11045652627944946},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.10391631722450256},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.10026943683624268},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0853879451751709},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08480414748191833}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6496216058731079},{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.6158008575439453},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.5542376637458801},{"id":"https://openalex.org/C151913843","wikidata":"https://www.wikidata.org/wiki/Q3454555","display_name":"Dominance (genetics)","level":3,"score":0.4934135973453522},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4930262267589569},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4918491840362549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48556992411613464},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.48233625292778015},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4773290753364563},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4207669496536255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3968440294265747},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2803723216056824},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1270052194595337},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12459999322891235},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.11045652627944946},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.10391631722450256},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.10026943683624268},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0853879451751709},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08480414748191833},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cca.2016.7587973","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2016.7587973","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Conference on Control Applications (CCA)","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":21,"referenced_works":["https://openalex.org/W1515707356","https://openalex.org/W1528240262","https://openalex.org/W1598265553","https://openalex.org/W1974811277","https://openalex.org/W1976485125","https://openalex.org/W2015084265","https://openalex.org/W2016056818","https://openalex.org/W2045938917","https://openalex.org/W2065378318","https://openalex.org/W2075032588","https://openalex.org/W2095764889","https://openalex.org/W2113912701","https://openalex.org/W2121269361","https://openalex.org/W2130518506","https://openalex.org/W2139319800","https://openalex.org/W2151063922","https://openalex.org/W2168448159","https://openalex.org/W2553486760","https://openalex.org/W3104488491","https://openalex.org/W3142756138","https://openalex.org/W6669608235"],"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/W2477102426","https://openalex.org/W1006722203"],"abstract_inverted_index":{"In":[0],"this":[1],"brief":[2],"article,":[3],"we":[4],"prove":[5],"the":[6,10,15,19,41,44],"dominant":[7],"role":[8],"of":[9,18,43],"1-twisted":[11],"equilibrium":[12],"point":[13],"on":[14],"dynamical":[16],"properties":[17],"Kuramoto":[20],"model":[21],"with":[22],"an":[23],"interconnection":[24],"topology":[25,36],"given":[26],"by":[27],"a":[28,33,48],"Harary":[29],"graph.":[30],"This":[31],"is":[32],"very":[34,49],"regular":[35],"and":[37],"helps":[38],"to":[39,47],"understand":[40],"complexity":[42],"dynamic,":[45],"associated":[46],"simple":[50],"mathematical":[51],"model.":[52]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
