{"id":"https://openalex.org/W3012240385","doi":"https://doi.org/10.1109/cdc40024.2019.9029796","title":"Dynamics Concentration of Large-Scale Tightly-Connected Networks","display_name":"Dynamics Concentration of Large-Scale Tightly-Connected Networks","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3012240385","doi":"https://doi.org/10.1109/cdc40024.2019.9029796","mag":"3012240385"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029796","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","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/A5038819585","display_name":"Hancheng Min","orcid":"https://orcid.org/0000-0003-0600-3854"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hancheng Min","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032910355","display_name":"Enrique Mallada","orcid":"https://orcid.org/0000-0003-1568-1833"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Enrique Mallada","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038819585"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":1.35915303,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82477882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"758","last_page":"763"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9991999864578247,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9988999962806702,"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/computer-science","display_name":"Computer science","score":0.710293173789978},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5950114130973816},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.5637110471725464},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.556240439414978},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5440875291824341},{"id":"https://openalex.org/keywords/network-dynamics","display_name":"Network dynamics","score":0.5409771203994751},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5109040141105652},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.49613651633262634},{"id":"https://openalex.org/keywords/interdependent-networks","display_name":"Interdependent networks","score":0.47933945059776306},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.4678666591644287},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4605376720428467},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4530694782733917},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4480918049812317},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.4418806731700897},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4169255495071411},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3515934646129608},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22634729743003845},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.13885712623596191},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11554163694381714},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10303515195846558}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.710293173789978},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5950114130973816},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.5637110471725464},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.556240439414978},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5440875291824341},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.5409771203994751},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5109040141105652},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.49613651633262634},{"id":"https://openalex.org/C101142422","wikidata":"https://www.wikidata.org/wiki/Q17101727","display_name":"Interdependent networks","level":3,"score":0.47933945059776306},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.4678666591644287},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4605376720428467},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4530694782733917},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4480918049812317},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.4418806731700897},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4169255495071411},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3515934646129608},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22634729743003845},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.13885712623596191},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11554163694381714},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10303515195846558},{"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/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029796","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","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":25,"referenced_works":["https://openalex.org/W1573820523","https://openalex.org/W1979375063","https://openalex.org/W1990245983","https://openalex.org/W1992002207","https://openalex.org/W2092782423","https://openalex.org/W2102885431","https://openalex.org/W2107396783","https://openalex.org/W2113598908","https://openalex.org/W2129248505","https://openalex.org/W2139166653","https://openalex.org/W2139504267","https://openalex.org/W2154953441","https://openalex.org/W2160643434","https://openalex.org/W2160932744","https://openalex.org/W2165744313","https://openalex.org/W2794121694","https://openalex.org/W2963571484","https://openalex.org/W2974062678","https://openalex.org/W3012240385","https://openalex.org/W3116487355","https://openalex.org/W4250134109","https://openalex.org/W4250954493","https://openalex.org/W4252344031","https://openalex.org/W6634225129","https://openalex.org/W6761537165"],"related_works":["https://openalex.org/W3194863767","https://openalex.org/W1835568051","https://openalex.org/W2190793089","https://openalex.org/W3098217834","https://openalex.org/W4313288878","https://openalex.org/W2039605957","https://openalex.org/W2134679786","https://openalex.org/W2892942882","https://openalex.org/W2160258514","https://openalex.org/W2111786937"],"abstract_inverted_index":{"The":[0],"ability":[1],"to":[2,23,79,97,102,134,172],"achieve":[3],"coordinated":[4,48],"behavior":[5,150],"-":[6,139],"engineered":[7],"or":[8,46,137],"emergent-":[9],"on":[10,26],"networked":[11],"systems":[12],"has":[13,21],"attracted":[14],"widespread":[15],"interest":[16],"over":[17,217],"several":[18],"fields.":[19],"This":[20],"led":[22],"remarkable":[24],"advances":[25,55],"the":[27,34,74,119,128,131,142,158,161,179,182,192,198],"development":[28],"of":[29,33,71,113,141,144,181,186,194,200],"a":[30,40,173,218],"theoretical":[31],"understanding":[32],"conditions":[35],"under":[36],"which":[37],"agents":[38],"within":[39],"network":[41,120,129,162],"can":[42],"reach":[43],"agreement":[44],"(consensus)":[45],"develop":[47],"behaviors":[49],"such":[50],"as":[51,118,151],"synchronization.":[52],"However,":[53],"fewer":[54],"have":[56],"been":[57],"made":[58],"toward":[59],"explaining":[60],"another":[61],"commonly":[62],"observed":[63],"phenomena":[64,211],"in":[65,73,84,127,167,197,213],"tightly-connected":[66],"networks":[67,75,112,216],"systems:":[68],"output":[69],"responses":[70],"nodes":[72],"are":[76],"almost":[77],"identical":[78],"each":[80,187],"other":[81],"despite":[82],"heterogeneity":[83],"their":[85],"individual":[86],"dynamics.":[87],"In":[88],"this":[89,103,145,149],"paper,":[90],"we":[91,107],"leverage":[92],"tools":[93],"from":[94,157],"high-dimensional":[95],"probability":[96],"provide":[98,206],"an":[99,135],"initial":[100],"answer":[101],"phenomena.":[104],"More":[105],"precisely,":[106],"show":[108],"that":[109,160,209],"for":[110],"linear":[111],"nodal":[114],"random":[115,183],"transfer":[116,163,184],"functions,":[117],"size":[121],"and":[122,203,205],"connectivity":[123],"grows,":[124],"every":[125],"node":[126],"follows":[130],"same":[132],"response":[133,176],"input":[136],"disturbance":[138],"irrespectively":[140],"source":[143],"input.":[146],"We":[147,189],"term":[148],"dynamics":[152],"concentration":[153],"since":[154],"it":[155,170],"stems":[156],"fact":[159],"matrix":[164],"uniformly":[165],"converges":[166],"probability,":[168],"i.e.,":[169],"concentrates,":[171],"unique":[174],"dynamic":[175],"determined":[177],"by":[178],"distribution":[180],"function":[185],"node.":[188],"further":[190],"discuss":[191],"implications":[193],"our":[195],"analysis":[196],"context":[199],"model":[201],"reduction":[202],"robustness,":[204],"numerical":[207],"evidence":[208],"similar":[210],"occur":[212],"small":[214],"deterministic":[215],"properly":[219],"defined":[220],"frequency":[221],"band.":[222]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}