{"id":"https://openalex.org/W2905532969","doi":"https://doi.org/10.1109/tnse.2018.2885163","title":"Topology Identification in Two-Layer Complex Dynamical Networks","display_name":"Topology Identification in Two-Layer Complex Dynamical Networks","publication_year":2018,"publication_date":"2018-12-11","ids":{"openalex":"https://openalex.org/W2905532969","doi":"https://doi.org/10.1109/tnse.2018.2885163","mag":"2905532969"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2018.2885163","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2018.2885163","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","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/A5101661131","display_name":"Yingfei Wang","orcid":"https://orcid.org/0000-0002-3634-3617"},"institutions":[{"id":"https://openalex.org/I4210129374","display_name":"The Supreme People's Procuratorate of the People's Republic of China","ror":"https://ror.org/04aq1wg32","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210129374"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yingfei Wang","raw_affiliation_strings":["Information Center, The Supreme People's Court of The People's Republic of China, Beijing, China","School of Mathematics and Statistics, Wuhan University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Information Center, The Supreme People's Court of The People's Republic of China, Beijing, China","institution_ids":["https://openalex.org/I4210129374"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001956640","display_name":"Xiaoqun Wu","orcid":"https://orcid.org/0000-0001-5065-6460"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoqun Wu","raw_affiliation_strings":["Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan, China","School of Mathematics and Statistics, Wuhan University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027725400","display_name":"Jinhu L\u00fc","orcid":"https://orcid.org/0000-0003-0275-8387"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhu Lu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, China","State Key Laboratory of Software Development Environment, Beijing Advanced Innovation Center for Big Data and Brain Computing, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, Beijing Advanced Innovation Center for Big Data and Brain Computing, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087098274","display_name":"Jun-an Lu","orcid":"https://orcid.org/0000-0001-5109-739X"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun-an Lu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, China","State Key Laboratory of Software Development Environment, Beijing Advanced Innovation Center for Big Data and Brain Computing, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, Beijing Advanced Innovation Center for Big Data and Brain Computing, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028249744","display_name":"Raissa M. D\u2019Souza","orcid":"https://orcid.org/0000-0003-1602-7243"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Raissa M. Dsouza","raw_affiliation_strings":["Department of Computer Science, University of California, Davis, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Davis, USA","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101661131"],"corresponding_institution_ids":["https://openalex.org/I37461747","https://openalex.org/I4210129374"],"apc_list":null,"apc_paid":null,"fwci":2.5835,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.90858483,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"7","issue":"1","first_page":"538","last_page":"548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994000196456909,"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":0.9994000196456909,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9957000017166138,"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/topology","display_name":"Topology (electrical circuits)","score":0.6954501867294312},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.641038179397583},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.6300609707832336},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.6115186214447021},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.6112605333328247},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5450745224952698},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5311110615730286},{"id":"https://openalex.org/keywords/spark","display_name":"SPARK (programming language)","score":0.45411327481269836},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3748599886894226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1835327446460724},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.16822469234466553},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12039101123809814}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6954501867294312},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.641038179397583},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.6300609707832336},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.6115186214447021},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.6112605333328247},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5450745224952698},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5311110615730286},{"id":"https://openalex.org/C2781215313","wikidata":"https://www.wikidata.org/wiki/Q3493345","display_name":"SPARK (programming language)","level":2,"score":0.45411327481269836},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3748599886894226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1835327446460724},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.16822469234466553},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12039101123809814},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2018.2885163","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2018.2885163","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2564883839","display_name":null,"funder_award_id":"2016YFB0800401","funder_id":"https://openalex.org/F4320336026","funder_display_name":"National Key Research and Development Program of China Stem Cell and Translational Research"},{"id":"https://openalex.org/G3523307272","display_name":null,"funder_award_id":"61621003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4533081228","display_name":null,"funder_award_id":"61573262","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4708032904","display_name":null,"funder_award_id":"W911NF-17-1-0077","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G5035632879","display_name":null,"funder_award_id":"W911NF-09-2-0053","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G5706247658","display_name":null,"funder_award_id":"61532020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5948536948","display_name":null,"funder_award_id":"W911NF-13-1-0340","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320336026","display_name":"National Key Research and Development Program of China Stem Cell and Translational Research","ror":null},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1647431324","https://openalex.org/W1875112053","https://openalex.org/W1967901352","https://openalex.org/W1973667962","https://openalex.org/W1988692696","https://openalex.org/W2005641459","https://openalex.org/W2008620264","https://openalex.org/W2012378616","https://openalex.org/W2020762588","https://openalex.org/W2033869127","https://openalex.org/W2036870441","https://openalex.org/W2039331748","https://openalex.org/W2040017561","https://openalex.org/W2041423669","https://openalex.org/W2044692345","https://openalex.org/W2045765765","https://openalex.org/W2049879616","https://openalex.org/W2050766178","https://openalex.org/W2055101306","https://openalex.org/W2059053384","https://openalex.org/W2069436097","https://openalex.org/W2070722739","https://openalex.org/W2074477564","https://openalex.org/W2081681829","https://openalex.org/W2084098300","https://openalex.org/W2085305650","https://openalex.org/W2098005762","https://openalex.org/W2112090702","https://openalex.org/W2115854279","https://openalex.org/W2125968149","https://openalex.org/W2137258853","https://openalex.org/W2137988238","https://openalex.org/W2141394518","https://openalex.org/W2142587090","https://openalex.org/W2148606196","https://openalex.org/W2149310258","https://openalex.org/W2150049940","https://openalex.org/W2159826488","https://openalex.org/W2164136313","https://openalex.org/W2283907552","https://openalex.org/W2317859329","https://openalex.org/W2351585786","https://openalex.org/W2433755661","https://openalex.org/W2516751027","https://openalex.org/W2524842917","https://openalex.org/W2587812844","https://openalex.org/W2593940606","https://openalex.org/W3037826211","https://openalex.org/W3100026482","https://openalex.org/W3101413764","https://openalex.org/W3102201777","https://openalex.org/W3103589660","https://openalex.org/W4238452917","https://openalex.org/W4243882798","https://openalex.org/W4376522554","https://openalex.org/W6726518261"],"related_works":["https://openalex.org/W1975949872","https://openalex.org/W3159871278","https://openalex.org/W2230552005","https://openalex.org/W2905242764","https://openalex.org/W3109411864","https://openalex.org/W3017846737","https://openalex.org/W4379407450","https://openalex.org/W3003280185","https://openalex.org/W2613379984","https://openalex.org/W3198126144"],"abstract_inverted_index":{"This":[0],"study":[1,170],"focuses":[2],"on":[3,45,60,120],"topology":[4,39,93],"identification":[5,122],"in":[6,49,76,87,168],"two-layer":[7],"networks":[8],"with":[9,84],"peer-to-peer":[10],"unidirectional":[11],"couplings,":[12],"where":[13],"one":[14],"layer":[15,24,43,56,79,97],"(the":[16,25],"response":[17,42,89,96],"layer)":[18],"receives":[19],"information":[20,117,137],"from":[21],"the":[22,38,41,46,61,77,88,92,95,107,110,115,121,165],"other":[23],"drive":[26],"layer).":[27],"The":[28,112,151],"goal":[29],"is":[30,57,98,124,128],"to":[31,73,80,105],"construct":[32],"a":[33],"theoretical":[34,180],"framework":[35,153],"for":[36],"identifying":[37],"of":[40,94,109,114,148,185,195],"based":[44],"dynamics":[47],"observed":[48],"both":[50],"layers.":[51],"In":[52],"particular,":[53],"an":[54,145],"auxiliary":[55,78],"constructed.":[58],"Based":[59],"LaSalle-type":[62],"invariance":[63],"principle,":[64],"simple":[65],"control":[66],"inputs":[67],"and":[68,142,174,182,192],"updating":[69],"laws":[70],"are":[71,103],"designed":[72],"enable":[74],"nodes":[75],"reach":[81],"complete":[82],"synchronization":[83],"their":[85],"counterparts":[86],"layer.":[90],"Simultaneously,":[91],"adaptively":[99],"identified.":[100],"Numerical":[101],"simulations":[102],"conducted":[104],"illustrate":[106],"effectiveness":[108],"method.":[111],"impact":[113],"inter-layer":[116],"transmission":[118,138,149],"speed":[119],"performance":[123],"further":[125,179],"investigated.":[126],"It":[127],"revealed":[129],"that":[130],"neither":[131],"too":[132,135],"slow":[133],"or":[134,197],"fast":[136],"favors":[139],"efficient":[140],"identification,":[141],"there":[143],"exists":[144],"optimal":[146],"level":[147],"speed.":[150],"duplex":[152],"can":[154,171],"model":[155],"many":[156],"real-world":[157],"systems,":[158],"such":[159],"as":[160],"communication-rumor":[161],"spreading":[162,190],"networks.":[163],"Therefore,":[164],"method":[166],"proposed":[167],"this":[169],"spark":[172],"attention":[173],"provide":[175],"basic":[176],"insights":[177],"into":[178],"research":[181],"practical":[183],"application":[184],"multilayer":[186],"networks,":[187],"including":[188],"detecting":[189],"routes":[191],"locating":[193],"sources":[194],"rumors":[196],"pseudo":[198],"news.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}