{"id":"https://openalex.org/W2582592812","doi":"https://doi.org/10.1109/tnnls.2017.2647811","title":"Adaptive Antisynchronization of Multilayer Reaction\u2013Diffusion Neural Networks","display_name":"Adaptive Antisynchronization of Multilayer Reaction\u2013Diffusion Neural Networks","publication_year":2017,"publication_date":"2017-01-24","ids":{"openalex":"https://openalex.org/W2582592812","doi":"https://doi.org/10.1109/tnnls.2017.2647811","mag":"2582592812","pmid":"https://pubmed.ncbi.nlm.nih.gov/28129187"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2017.2647811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2017.2647811","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5063769281","display_name":"Yanzhi Wu","orcid":"https://orcid.org/0000-0003-2707-0079"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanzhi Wu","raw_affiliation_strings":["School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0003-2707-0079","affiliations":[{"raw_affiliation_string":"School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100396549","display_name":"Lu Liu","orcid":"https://orcid.org/0000-0003-2741-2542"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Lu Liu","raw_affiliation_strings":["Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022155749","display_name":"Jiangping Hu","orcid":"https://orcid.org/0000-0002-7559-8604"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiangping Hu","raw_affiliation_strings":["School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-7559-8604","affiliations":[{"raw_affiliation_string":"School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082124101","display_name":"Gang Feng","orcid":"https://orcid.org/0000-0001-8508-8416"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Gang Feng","raw_affiliation_strings":["Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.7875,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.97967163,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"29","issue":"4","first_page":"807","last_page":"818"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"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":1.0,"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":0.9984999895095825,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7194257974624634},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.6392048597335815},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6192313432693481},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5335206389427185},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.48098742961883545},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4770890176296234},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4756695330142975},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.46644848585128784},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.4335757791996002},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.4256313443183899},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.4112524390220642},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.33630359172821045},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3356183171272278},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2540068030357361},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23275437951087952},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22283175587654114},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.22008338570594788},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11106368899345398}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7194257974624634},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.6392048597335815},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6192313432693481},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5335206389427185},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.48098742961883545},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4770890176296234},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4756695330142975},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.46644848585128784},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.4335757791996002},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.4256313443183899},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.4112524390220642},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.33630359172821045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3356183171272278},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2540068030357361},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23275437951087952},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22283175587654114},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.22008338570594788},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11106368899345398},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2017.2647811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2017.2647811","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:28129187","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28129187","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2009544653","display_name":null,"funder_award_id":"61473061","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3413405091","display_name":null,"funder_award_id":"61104104","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4620896478","display_name":null,"funder_award_id":"NCET-13-0091","funder_id":"https://openalex.org/F4320334924","funder_display_name":"Program for New Century Excellent Talents in University"},{"id":"https://openalex.org/G8415611289","display_name":null,"funder_award_id":"71503206","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/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W645937136","https://openalex.org/W950821216","https://openalex.org/W1549251788","https://openalex.org/W1554663460","https://openalex.org/W1560965780","https://openalex.org/W1597286183","https://openalex.org/W1855169650","https://openalex.org/W1964092753","https://openalex.org/W1967509640","https://openalex.org/W1972510095","https://openalex.org/W1979472936","https://openalex.org/W1979981514","https://openalex.org/W1986255971","https://openalex.org/W1992435968","https://openalex.org/W2016562720","https://openalex.org/W2018426510","https://openalex.org/W2022159488","https://openalex.org/W2049034415","https://openalex.org/W2050090436","https://openalex.org/W2057973793","https://openalex.org/W2061901927","https://openalex.org/W2065437660","https://openalex.org/W2071585273","https://openalex.org/W2075049885","https://openalex.org/W2075175322","https://openalex.org/W2075930670","https://openalex.org/W2085465150","https://openalex.org/W2100935517","https://openalex.org/W2102158172","https://openalex.org/W2109952733","https://openalex.org/W2112310928","https://openalex.org/W2113341204","https://openalex.org/W2129609383","https://openalex.org/W2150729352","https://openalex.org/W2151914528","https://openalex.org/W2169222380","https://openalex.org/W2285059524","https://openalex.org/W2301183462","https://openalex.org/W2337201388","https://openalex.org/W2461067303","https://openalex.org/W2895207104","https://openalex.org/W3021722416","https://openalex.org/W3142588439","https://openalex.org/W4255777804","https://openalex.org/W4388297464"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W2480116122","https://openalex.org/W4255576661","https://openalex.org/W1516574938","https://openalex.org/W2625725254","https://openalex.org/W2891289036"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"an":[3,9],"antisynchronization":[4,88,98,122,131,162],"problem":[5],"is":[6,31,52,90,124,136],"considered":[7],"for":[8,92],"array":[10],"of":[11,41,47,67,104,112,129,133,159],"linearly":[12,119],"coupled":[13,49,75],"reaction-diffusion":[14,56],"neural":[15,29,50,70,94,114],"networks":[16],"with":[17,59,77],"cooperative-competitive":[18],"interactions":[19],"and":[20,82,144],"time-varying":[21],"coupling":[22,81],"delays.":[23],"The":[24,38,127],"interaction":[25],"topology":[26],"among":[27],"the":[28,48,64,68,109,113,130,134,157,160],"nodes":[30,115,135],"modeled":[32,73],"by":[33,54,74,99,138],"a":[34,42,55,118,140,145],"multilayer":[35,69],"signed":[36],"graph.":[37],"state":[39,83],"evolution":[40],"neuron":[43],"in":[44],"each":[45,93],"layer":[46],"network":[51,71],"described":[53],"equation":[57],"(RDE)":[58],"Dirichlet":[60],"boundary":[61],"conditions.":[62],"Then,":[63],"collective":[65],"dynamics":[66],"are":[72,116,153],"RDEs":[76],"both":[78],"spatial":[79],"diffusion":[80],"coupling.":[84],"An":[85],"edge-based":[86],"adaptive":[87,121],"strategy":[89,123],"proposed":[91,161],"node":[95],"to":[96,155],"achieve":[97],"using":[100,139],"only":[101],"local":[102],"information":[103],"neighboring":[105],"nodes.":[106],"Furthermore,":[107],"when":[108],"activation":[110],"functions":[111],"unknown,":[117],"parameterized":[120],"also":[125],"proposed.":[126],"convergence":[128],"errors":[132],"analyzed":[137],"Lyapunov-Krasovskii":[141],"functional":[142],"method":[143],"structural":[146],"balance":[147],"condition.":[148],"Finally,":[149],"some":[150],"numerical":[151],"simulations":[152],"presented":[154],"demonstrate":[156],"effectiveness":[158],"strategies.":[163]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":3}],"updated_date":"2026-06-23T13:55:30.953635","created_date":"2025-10-10T00:00:00"}
