{"id":"https://openalex.org/W2167955841","doi":"https://doi.org/10.1109/tcsi.2013.2285696","title":"Coupling Strength Allocation for Synchronization in Complex Networks Using Spectral Graph Theory","display_name":"Coupling Strength Allocation for Synchronization in Complex Networks Using Spectral Graph Theory","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2167955841","doi":"https://doi.org/10.1109/tcsi.2013.2285696","mag":"2167955841"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2013.2285696","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2013.2285696","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","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/A5100387514","display_name":"Hui Liu","orcid":"https://orcid.org/0009-0006-7165-4257"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Hui Liu","raw_affiliation_strings":["Faculty of Mathematics and Natural Sciences, ITM, University of Groningen, Groningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Natural Sciences, ITM, University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021403340","display_name":"Ming Cao","orcid":"https://orcid.org/0000-0001-5472-562X"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ming Cao","raw_affiliation_strings":["Faculty of Mathematics and Natural Sciences, ITM, University of Groningen, Groningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Natural Sciences, ITM, University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038483763","display_name":"Chai Wah Wu","orcid":"https://orcid.org/0000-0002-0657-0683"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chai Wah Wu","raw_affiliation_strings":["IBM T. J. Watson Research Center, Yorktown Heights, NY, U.S.A"],"affiliations":[{"raw_affiliation_string":"IBM T. J. Watson Research Center, Yorktown Heights, NY, U.S.A","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100387514"],"corresponding_institution_ids":["https://openalex.org/I169381384"],"apc_list":null,"apc_paid":null,"fwci":5.7556,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.96402704,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"61","issue":"5","first_page":"1520","last_page":"1530"},"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":0.9980999827384949,"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":0.9950000047683716,"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/spectral-graph-theory","display_name":"Spectral graph theory","score":0.7446849942207336},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.688913106918335},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.6712793111801147},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6118674278259277},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6101742386817932},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5995829105377197},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.56608647108078},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.5404667854309082},{"id":"https://openalex.org/keywords/coupling-strength","display_name":"Coupling strength","score":0.5330530405044556},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5164759159088135},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5112855434417725},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4829387068748474},{"id":"https://openalex.org/keywords/network-analysis","display_name":"Network analysis","score":0.4520615339279175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2753075957298279},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.15064436197280884},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1449872851371765},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12480941414833069}],"concepts":[{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.7446849942207336},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.688913106918335},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.6712793111801147},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6118674278259277},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6101742386817932},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5995829105377197},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.56608647108078},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.5404667854309082},{"id":"https://openalex.org/C2986219828","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling strength","level":2,"score":0.5330530405044556},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5164759159088135},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5112855434417725},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4829387068748474},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.4520615339279175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2753075957298279},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.15064436197280884},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1449872851371765},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12480941414833069},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcsi.2013.2285696","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2013.2285696","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:publications/b0500857-5878-4b22-8dc4-35dca8e98349","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/b0500857-5878-4b22-8dc4-35dca8e98349","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Liu, H, Cao, M & Wu, C W 2014, 'Coupling strength allocation for synchronization in complex networks using spectral graph theory', IEEE Transactions on Circuits and Systems I - Regular papers, vol. 61, no. 5, pp. 1520-1530. https://doi.org/10.1109/TCSI.2013.2285696","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/b0500857-5878-4b22-8dc4-35dca8e98349","is_oa":false,"landing_page_url":"https://hdl.handle.net/11370/b0500857-5878-4b22-8dc4-35dca8e98349","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Liu, H, Cao, M & Wu, C W 2014, 'Coupling strength allocation for synchronization in complex networks using spectral graph theory', IEEE Transactions on Circuits and Systems I - Regular papers, vol. 61, no. 5, pp. 1520-1530. https://doi.org/10.1109/TCSI.2013.2285696","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5104130692","display_name":null,"funder_award_id":"11172215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334893","display_name":"Stichting voor de Technische Wetenschappen","ror":"https://ror.org/057tq3593"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W141418607","https://openalex.org/W391578156","https://openalex.org/W607068030","https://openalex.org/W1706596482","https://openalex.org/W1969649257","https://openalex.org/W1981271798","https://openalex.org/W1982378726","https://openalex.org/W1984732727","https://openalex.org/W1994830523","https://openalex.org/W1996152536","https://openalex.org/W1997709335","https://openalex.org/W2010434073","https://openalex.org/W2013737143","https://openalex.org/W2032618531","https://openalex.org/W2042018868","https://openalex.org/W2042814139","https://openalex.org/W2049879616","https://openalex.org/W2052387719","https://openalex.org/W2064571435","https://openalex.org/W2083787309","https://openalex.org/W2117344958","https://openalex.org/W2117362627","https://openalex.org/W2118909312","https://openalex.org/W2123820077","https://openalex.org/W2131932899","https://openalex.org/W2141451487","https://openalex.org/W2153841181","https://openalex.org/W2610857016","https://openalex.org/W4238452917","https://openalex.org/W4238591275","https://openalex.org/W4240085642","https://openalex.org/W4244260542","https://openalex.org/W4244585506","https://openalex.org/W4248004290","https://openalex.org/W6637124526","https://openalex.org/W6825635574"],"related_works":["https://openalex.org/W2188097034","https://openalex.org/W3004345458","https://openalex.org/W2478475484","https://openalex.org/W2029616478","https://openalex.org/W2081084405","https://openalex.org/W4386468260","https://openalex.org/W2795850273","https://openalex.org/W2537944959","https://openalex.org/W2557541666","https://openalex.org/W2167955841"],"abstract_inverted_index":{"Using":[0],"spectral":[1],"graph":[2,7],"theory":[3],"and":[4],"especially":[5],"its":[6],"comparison":[8],"techniques,":[9],"we":[10,89],"propose":[11],"new":[12],"methodologies":[13,56,99],"to":[14,18,66,93,96,100],"allocate":[15],"coupling":[16],"strengths":[17],"guarantee":[19],"global":[20],"complete":[21],"synchronization":[22],"in":[23,64],"complex":[24,102],"networks.":[25,103],"The":[26,54],"key":[27],"step":[28],"is":[29],"that":[30],"all":[31],"the":[32,35,52,58,98],"eigenvalues":[33],"of":[34,51,60],"Laplacian":[36],"matrix":[37],"associated":[38],"with":[39],"a":[40],"given":[41],"network":[42,83],"can":[43,74],"be":[44,75],"estimated":[45],"by":[46],"utilizing":[47],"flexibly":[48],"topological":[49,84],"features":[50],"network.":[53],"proposed":[55],"enable":[57],"construction":[59],"different":[61,67],"coupling-strength":[62],"combinations":[63],"response":[65],"knowledge":[68],"about":[69],"subnetworks.":[70],"Adaptive":[71],"allocation":[72],"strategies":[73],"carried":[76],"out":[77],"as":[78],"well":[79],"using":[80],"only":[81],"local":[82],"information.":[85],"Besides":[86],"formal":[87],"analysis,":[88],"use":[90],"simulation":[91],"examples":[92],"demonstrate":[94],"how":[95],"apply":[97],"typical":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}