{"id":"https://openalex.org/W3191041039","doi":"https://doi.org/10.1109/tnnls.2021.3099814","title":"Multistability of Dynamic Memristor Delayed Cellular Neural Networks With Application to Associative Memories","display_name":"Multistability of Dynamic Memristor Delayed Cellular Neural Networks With Application to Associative Memories","publication_year":2021,"publication_date":"2021-08-04","ids":{"openalex":"https://openalex.org/W3191041039","doi":"https://doi.org/10.1109/tnnls.2021.3099814","mag":"3191041039","pmid":"https://pubmed.ncbi.nlm.nih.gov/34347606"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2021.3099814","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3099814","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/A5052687616","display_name":"Kun Deng","orcid":"https://orcid.org/0000-0002-8961-6455"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kun Deng","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-8961-6455","affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013161489","display_name":"Song Zhu","orcid":"https://orcid.org/0000-0001-5228-9406"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song Zhu","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-5228-9406","affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102821691","display_name":"Gang Bao","orcid":"https://orcid.org/0000-0002-4571-7377"},"institutions":[{"id":"https://openalex.org/I161350542","display_name":"China Three Gorges University","ror":"https://ror.org/0419nfc77","country_code":"CN","type":"education","lineage":["https://openalex.org/I161350542"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Bao","raw_affiliation_strings":["Hubei Key Laboratory of Cascaded Hydropower Stations Operation and Control, China Three Gorges University, Yichang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Cascaded Hydropower Stations Operation and Control, China Three Gorges University, Yichang, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042145194","display_name":"Jun Fu","orcid":"https://orcid.org/0000-0003-2196-3669"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Fu","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China"],"raw_orcid":"https://orcid.org/0000-0003-2196-3669","affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081245089","display_name":"Zhigang Zeng","orcid":"https://orcid.org/0000-0003-4587-3588"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Zeng","raw_affiliation_strings":["School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-4587-3588","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.773,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.96285889,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"34","issue":"2","first_page":"690","last_page":"702"},"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9975000023841858,"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/multistability","display_name":"Multistability","score":0.968005359172821},{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.8340505361557007},{"id":"https://openalex.org/keywords/content-addressable-memory","display_name":"Content-addressable memory","score":0.6738436222076416},{"id":"https://openalex.org/keywords/cellular-neural-network","display_name":"Cellular neural network","score":0.5829900503158569},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5618994832038879},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.5483017563819885},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5067558884620667},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.49925804138183594},{"id":"https://openalex.org/keywords/bidirectional-associative-memory","display_name":"Bidirectional associative memory","score":0.48247912526130676},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4420098066329956},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.435874342918396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2838062047958374},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24038082361221313},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.23301520943641663},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15857374668121338},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15012392401695251},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1474694311618805},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.102719247341156}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.968005359172821},{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.8340505361557007},{"id":"https://openalex.org/C53442348","wikidata":"https://www.wikidata.org/wiki/Q745101","display_name":"Content-addressable memory","level":3,"score":0.6738436222076416},{"id":"https://openalex.org/C812465","wikidata":"https://www.wikidata.org/wiki/Q5058375","display_name":"Cellular neural network","level":3,"score":0.5829900503158569},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5618994832038879},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.5483017563819885},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5067558884620667},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.49925804138183594},{"id":"https://openalex.org/C120620853","wikidata":"https://www.wikidata.org/wiki/Q506355","display_name":"Bidirectional associative memory","level":4,"score":0.48247912526130676},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4420098066329956},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.435874342918396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2838062047958374},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24038082361221313},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.23301520943641663},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15857374668121338},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15012392401695251},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1474694311618805},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.102719247341156},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2021.3099814","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3099814","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:34347606","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34347606","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":[{"score":0.8799999952316284,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4822857281","display_name":null,"funder_award_id":"61873272","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4997800093","display_name":null,"funder_award_id":"61873271","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6868977991","display_name":null,"funder_award_id":"2018ZZCX14","funder_id":"https://openalex.org/F4320323154","funder_display_name":"China University of Mining and Technology"},{"id":"https://openalex.org/G7522795998","display_name":null,"funder_award_id":"2018XKQYMS15","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323154","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W240029891","https://openalex.org/W1623819170","https://openalex.org/W1939048443","https://openalex.org/W1972510095","https://openalex.org/W2023644895","https://openalex.org/W2039375846","https://openalex.org/W2048051204","https://openalex.org/W2057553352","https://openalex.org/W2060630644","https://openalex.org/W2107359293","https://openalex.org/W2112181056","https://openalex.org/W2117488025","https://openalex.org/W2121003919","https://openalex.org/W2123268478","https://openalex.org/W2126341830","https://openalex.org/W2137023886","https://openalex.org/W2143994750","https://openalex.org/W2153765205","https://openalex.org/W2153801545","https://openalex.org/W2160121923","https://openalex.org/W2162651880","https://openalex.org/W2162800561","https://openalex.org/W2165480517","https://openalex.org/W2167301228","https://openalex.org/W2295422590","https://openalex.org/W2306429512","https://openalex.org/W2336159922","https://openalex.org/W2501582773","https://openalex.org/W2605925875","https://openalex.org/W2733258593","https://openalex.org/W2796865093","https://openalex.org/W2888540247","https://openalex.org/W2894411297","https://openalex.org/W2900938351","https://openalex.org/W2901472487","https://openalex.org/W2908287814","https://openalex.org/W2935604199","https://openalex.org/W3036136350","https://openalex.org/W3096021022","https://openalex.org/W3105862385"],"related_works":["https://openalex.org/W3035288648","https://openalex.org/W3159427064","https://openalex.org/W2076653911","https://openalex.org/W1987836535","https://openalex.org/W4321273133","https://openalex.org/W2782859434","https://openalex.org/W1499649160","https://openalex.org/W2109892802","https://openalex.org/W2057553352","https://openalex.org/W1515775643"],"abstract_inverted_index":{"Recently,":[0],"dynamic":[1,166],"memristor":[2,192],"(DM)-cellular":[3],"neural":[4],"networks":[5],"(CNNs)":[6],"have":[7,25],"received":[8],"widespread":[9],"attention":[10],"due":[11],"to":[12,57,68,106,183,197,208],"their":[13],"advantage":[14],"of":[15,48,53,61,73,82,86,100,102,123,139,151,168,178,212,219,227],"low":[16],"power":[17],"consumption.":[18],"The":[19],"previous":[20],"works":[21],"showed":[22],"that":[23],"DM-CNNs":[24,62],"at":[26,224],"most":[27],"318":[28],"equilibrium":[29],"points":[30],"(EPs)":[31],"with":[32,63,113,162],"<inline-formula":[33,107,114,145],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[34,108,115,146],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[35,109,116,147],"<tex-math":[36,110,117,148],"notation=\"LaTeX\">$n=16$":[37],"</tex-math></inline-formula>":[38,112,119,150],"cells.":[39],"Since":[40],"time":[41,64],"delay":[42],"is":[43,56,104],"unavoidable":[44],"during":[45],"the":[46,51,59,70,78,87,95,98,124,129,135,165,176,186,191,199,210,213,217,225],"process":[47],"information":[49],"transmission,":[50],"goal":[52],"this":[54,228],"article":[55],"research":[58],"multistability":[60,88],"delay,":[65],"and,":[66],"meanwhile,":[67],"increase":[69],"storage":[71],"capacity":[72],"DM-delay":[74],"(D)CNNs.":[75],"Depending":[76],"on":[77],"different":[79],"constitutive":[80,96],"relations":[81],"memristors,":[83],"two":[84,159,203],"cases":[85],"for":[89],"DM-DCNNs":[90,103,169],"are":[91,154,206,222],"discussed.":[92],"After":[93],"determining":[94],"relations,":[97],"number":[99],"EPs":[101,140,153],"increased":[105],"notation=\"LaTeX\">$3^{n}$":[111],"notation=\"LaTeX\">$n$":[118],"cells":[120],"by":[121],"means":[122],"appropriate":[125],"state-space":[126],"decomposition":[127],"and":[128,144,180,190,216],"Brouwer\u2019s":[130],"fixed":[131],"point":[132],"theorem.":[133],"Furthermore,":[134],"enlarged":[136],"attraction":[137],"domains":[138],"can":[141],"be":[142],"obtained,":[143],"notation=\"LaTeX\">$2^{n}$":[149],"these":[152],"locally":[155],"exponentially":[156],"stable":[157],"in":[158],"cases.":[160],"Compared":[161],"standard":[163],"CNNs,":[164],"behavior":[167],"shows":[170],"an":[171],"outstanding":[172],"merit.":[173],"That":[174],"is,":[175],"value":[177],"voltage":[179],"current":[181],"approach":[182],"zero":[184],"when":[185],"system":[187],"becomes":[188],"stable,":[189],"provides":[193],"a":[194],"nonvolatile":[195],"memory":[196],"store":[198],"computation":[200],"results.":[201],"Finally,":[202],"numerical":[204],"simulations":[205],"presented":[207],"illustrate":[209],"effectiveness":[211],"theoretical":[214],"results,":[215],"applications":[218],"associative":[220],"memories":[221],"shown":[223],"end":[226],"article.":[229]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
