{"id":"https://openalex.org/W2072422473","doi":"https://doi.org/10.1109/tac.2014.2361196","title":"Synchronization of Pulse-Coupled Oscillators on (Strongly) Connected Graphs","display_name":"Synchronization of Pulse-Coupled Oscillators on (Strongly) Connected Graphs","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W2072422473","doi":"https://doi.org/10.1109/tac.2014.2361196","mag":"2072422473"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2361196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2361196","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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/A5069278422","display_name":"Felipe N\u00fa\u00f1ez","orcid":"https://orcid.org/0000-0002-8741-717X"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Felipe Nunez","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","Dept. of Electr. & Comput. Eng., Univ. of California-Santa Barbara, Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of California-Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100339989","display_name":"Yongqiang Wang","orcid":"https://orcid.org/0000-0002-8600-0276"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yongqiang Wang","raw_affiliation_strings":["Institute for Collaborative Biotechnologies, Clemson University, Santa Barbara, SC, USA","Inst. for Collaborative Biotechnol., Univ. of California, Santa Barbara, Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Collaborative Biotechnologies, Clemson University, Santa Barbara, SC, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Inst. for Collaborative Biotechnol., Univ. of California, Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103218398","display_name":"Francis J. Doyle","orcid":"https://orcid.org/0000-0001-5342-4083"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Francis J. Doyle","raw_affiliation_strings":["Institute for Collaborative Biotechnologies and the Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","Dept. of Electr. & Comput. Eng., Univ. of California-Santa Barbara, Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Collaborative Biotechnologies and the Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of California-Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069278422"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":null,"apc_paid":null,"fwci":4.4826,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.95009188,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"6","first_page":"1710","last_page":"1715"},"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":0.9858999848365784,"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"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9459999799728394,"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":0.8066881895065308},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.761846661567688},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.6811035871505737},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6697562336921692},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.5190706849098206},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5025115013122559},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.501662015914917},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4644828736782074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45320844650268555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3898804187774658},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.21184897422790527},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20345565676689148},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14389348030090332},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12813401222229004},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.07237687706947327},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06332919001579285}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.8066881895065308},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.761846661567688},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.6811035871505737},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6697562336921692},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.5190706849098206},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5025115013122559},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.501662015914917},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4644828736782074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45320844650268555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3898804187774658},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.21184897422790527},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20345565676689148},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14389348030090332},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12813401222229004},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.07237687706947327},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06332919001579285},{"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/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2014.2361196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2361196","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4365921341","display_name":null,"funder_award_id":"W911NF-09-D-0001","funder_id":"https://openalex.org/F4320338502","funder_display_name":"Institute for Collaborative Biotechnologies"}],"funders":[{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"},{"id":"https://openalex.org/F4320338502","display_name":"Institute for Collaborative Biotechnologies","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1577873058","https://openalex.org/W1969635048","https://openalex.org/W1997919212","https://openalex.org/W2017797672","https://openalex.org/W2019312235","https://openalex.org/W2022725509","https://openalex.org/W2030115949","https://openalex.org/W2036655194","https://openalex.org/W2056333150","https://openalex.org/W2085772550","https://openalex.org/W2093309816","https://openalex.org/W2099308299","https://openalex.org/W2147399099","https://openalex.org/W2154953441","https://openalex.org/W2224426586","https://openalex.org/W2618220764","https://openalex.org/W2963784516","https://openalex.org/W2964172734","https://openalex.org/W3105392697","https://openalex.org/W3148959270","https://openalex.org/W4232398662","https://openalex.org/W4301621148"],"related_works":["https://openalex.org/W2063663506","https://openalex.org/W1586366284","https://openalex.org/W2297311436","https://openalex.org/W2969606317","https://openalex.org/W153843616","https://openalex.org/W2397248170","https://openalex.org/W2050769472","https://openalex.org/W3118528670","https://openalex.org/W2527776493","https://openalex.org/W2897589005"],"abstract_inverted_index":{"The":[0],"synchronization":[1,42],"of":[2,29],"pulse-coupled":[3],"oscillators":[4],"(PCOs)":[5],"interacting":[6],"on":[7],"general":[8],"(strongly)":[9,36],"connected":[10,37,51],"graphs":[11],"is":[12,15,43],"addressed.":[13],"It":[14],"shown":[16],"that":[17],"the":[18,22,46,63],"network":[19],"synchronizes":[20],"if":[21],"phases":[23],"are":[24,59],"contained":[25],"in":[26,45],"an":[27],"arc":[28],"length":[30],"less":[31],"than":[32],"\u03c0,":[33],"for":[34],"every":[35],"interaction":[38],"topology.":[39],"Moreover,":[40],"global":[41],"feasible":[44],"all-to-all,":[47],"strongly":[48],"rooted,":[49],"and":[50,56],"bidirectional":[52],"cases.":[53],"Examples,":[54],"counter-examples,":[55],"numerical":[57],"simulations":[58],"given":[60],"to":[61],"illustrate":[62],"analytical":[64],"findings.":[65]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}