{"id":"https://openalex.org/W2917084266","doi":"https://doi.org/10.1109/tsmc.2019.2896022","title":"Quasi-Synchronization in Heterogeneous Harmonic Oscillators With Continuous and Sampled Coupling","display_name":"Quasi-Synchronization in Heterogeneous Harmonic Oscillators With Continuous and Sampled Coupling","publication_year":2019,"publication_date":"2019-02-22","ids":{"openalex":"https://openalex.org/W2917084266","doi":"https://doi.org/10.1109/tsmc.2019.2896022","mag":"2917084266"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2019.2896022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2896022","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.uri.edu/ele_facpubs/260","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048119294","display_name":"Zhengxin Wang","orcid":"https://orcid.org/0000-0003-2147-2229"},"institutions":[{"id":"https://openalex.org/I17626003","display_name":"University of Rhode Island","ror":"https://ror.org/013ckk937","country_code":"US","type":"education","lineage":["https://openalex.org/I17626003"]},{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Zhengxin Wang","raw_affiliation_strings":["Jiangsu Engineering Laboratory for IoT Intelligent Robots, Nanjing University of Posts and Telecommunications, Nanjing, China","School of Science, Nanjing University of Posts and Telecommunications, Nanjing, China","University of Rhode Island, Kingston, RI, USA"],"raw_orcid":"https://orcid.org/0000-0003-2147-2229","affiliations":[{"raw_affiliation_string":"Jiangsu Engineering Laboratory for IoT Intelligent Robots, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"School of Science, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"University of Rhode Island, Kingston, RI, USA","institution_ids":["https://openalex.org/I17626003"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112861803","display_name":"Haibo He","orcid":null},"institutions":[{"id":"https://openalex.org/I17626003","display_name":"University of Rhode Island","ror":"https://ror.org/013ckk937","country_code":"US","type":"education","lineage":["https://openalex.org/I17626003"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haibo He","raw_affiliation_strings":["University of Rhode Island, Kingston, RI, USA"],"raw_orcid":"https://orcid.org/0000-0002-3103-4452","affiliations":[{"raw_affiliation_string":"University of Rhode Island, Kingston, RI, USA","institution_ids":["https://openalex.org/I17626003"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005382201","display_name":"Guo\u2010Ping Jiang","orcid":"https://orcid.org/0000-0001-9448-0989"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guo-Ping Jiang","raw_affiliation_strings":["Jiangsu Engineering Laboratory for IoT Intelligent Robots, Nanjing University of Posts and Telecommunications, Nanjing, China","School of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-9448-0989","affiliations":[{"raw_affiliation_string":"Jiangsu Engineering Laboratory for IoT Intelligent Robots, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"School of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["Jiangsu Provincial Key Laboratory of Networked Collective Intelligence, Southeast University, Nanjing, China","School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3133-7119","affiliations":[{"raw_affiliation_string":"Jiangsu Provincial Key Laboratory of Networked Collective Intelligence, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.6868,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.96324395,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"51","issue":"2","first_page":"1267","last_page":"1277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9995999932289124,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9993000030517578,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.8389406204223633},{"id":"https://openalex.org/keywords/aperiodic-graph","display_name":"Aperiodic graph","score":0.7406520247459412},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6073127388954163},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.5675005912780762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5505840182304382},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.537921667098999},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.5299519300460815},{"id":"https://openalex.org/keywords/heterogeneous-network","display_name":"Heterogeneous network","score":0.5166792869567871},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.5054671764373779},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4877260625362396},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4846966564655304},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.47977501153945923},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4432953894138336},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.36147505044937134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35367709398269653},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12506327033042908},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09515205025672913},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0947265625},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09041965007781982},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.05371248722076416}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.8389406204223633},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.7406520247459412},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6073127388954163},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.5675005912780762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5505840182304382},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.537921667098999},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.5299519300460815},{"id":"https://openalex.org/C158207573","wikidata":"https://www.wikidata.org/wiki/Q5747224","display_name":"Heterogeneous network","level":4,"score":0.5166792869567871},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.5054671764373779},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4877260625362396},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4846966564655304},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.47977501153945923},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4432953894138336},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.36147505044937134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35367709398269653},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12506327033042908},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09515205025672913},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0947265625},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09041965007781982},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.05371248722076416},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","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},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsmc.2019.2896022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2019.2896022","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-1259","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/260","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-1259","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/260","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1626739355","display_name":null,"funder_award_id":"61873326","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4585534567","display_name":"\u57fa\u4e8e\u7fa4\u4f53\u667a\u80fd\u7684\u5206\u5e03\u5f0f\u4f18\u5316\u7406\u8bba\u3001\u65b9\u6cd5\u53ca\u5e94\u7528\u7814\u7a76","funder_award_id":"61833005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4829380466","display_name":null,"funder_award_id":"CMMI 1526835","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6990221460","display_name":null,"funder_award_id":"BK20181387","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1601432867","https://openalex.org/W1972434972","https://openalex.org/W1988095001","https://openalex.org/W1994931141","https://openalex.org/W1998765575","https://openalex.org/W1998825541","https://openalex.org/W2000513093","https://openalex.org/W2011671151","https://openalex.org/W2013737143","https://openalex.org/W2035256038","https://openalex.org/W2038043520","https://openalex.org/W2038924143","https://openalex.org/W2053046489","https://openalex.org/W2055953081","https://openalex.org/W2059901592","https://openalex.org/W2065632630","https://openalex.org/W2066467764","https://openalex.org/W2074978629","https://openalex.org/W2079847118","https://openalex.org/W2099175737","https://openalex.org/W2100935517","https://openalex.org/W2101426918","https://openalex.org/W2104168156","https://openalex.org/W2141410403","https://openalex.org/W2143843955","https://openalex.org/W2146445863","https://openalex.org/W2157190392","https://openalex.org/W2160549945","https://openalex.org/W2163072899","https://openalex.org/W2268931211","https://openalex.org/W2345265966","https://openalex.org/W2405538611","https://openalex.org/W2416519775","https://openalex.org/W2460207227","https://openalex.org/W2512996947","https://openalex.org/W2514447902","https://openalex.org/W2547596511","https://openalex.org/W2563423315","https://openalex.org/W2576254933","https://openalex.org/W2588099484","https://openalex.org/W2590302930","https://openalex.org/W2598008854","https://openalex.org/W2602709848","https://openalex.org/W2606690472","https://openalex.org/W2782559590","https://openalex.org/W2963127789","https://openalex.org/W3022136271","https://openalex.org/W3100828956","https://openalex.org/W3210839039","https://openalex.org/W6765929999"],"related_works":["https://openalex.org/W1586366284","https://openalex.org/W2063663506","https://openalex.org/W2297311436","https://openalex.org/W153843616","https://openalex.org/W2397248170","https://openalex.org/W2050769472","https://openalex.org/W3118528670","https://openalex.org/W2969606317","https://openalex.org/W2527776493","https://openalex.org/W2288531340"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"quasi-synchronization":[3,37],"in":[4],"networked":[5,82],"heterogeneous":[6,21,41,83],"harmonic":[7,46,84],"oscillators.":[8,47,85],"By":[9],"introducing":[10],"a":[11,58,67],"leader,":[12],"two":[13,101],"distributed":[14],"synchronization":[15],"protocols":[16],"are":[17,38,103],"first":[18],"proposed":[19],"for":[20,40,81],"networks":[22,42],"by":[23,64],"utilizing":[24],"continuous":[25],"real-time":[26],"information":[27],"and":[28,100],"aperiodic":[29],"sampled-data":[30,71],"information.":[31],"Then,":[32],"the":[33,62,77,94,97,107,110],"sufficient":[34,111],"conditions":[35],"on":[36],"established":[39],"coupled":[43],"with":[44],"nonidentical":[45],"It":[48],"is":[49,79,90],"found":[50],"that":[51],"each":[52],"follower":[53],"oscillator":[54],"can":[55],"converge":[56],"to":[57,92,105],"bounded":[59],"region":[60,78],"of":[61,76,96,109],"leader":[63],"adopting":[65],"either":[66],"continuous-time":[68],"protocol":[69],"or":[70],"protocol.":[72],"The":[73],"upper":[74],"bound":[75],"solved":[80],"Finally,":[86],"an":[87],"electrical":[88],"network":[89],"provided":[91,104],"illustrate":[93,106],"applicability":[95],"theoretical":[98],"results,":[99],"examples":[102],"effectiveness":[108],"criteria.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}