{"id":"https://openalex.org/W4285060425","doi":"https://doi.org/10.1109/tcsii.2022.3183340","title":"Extreme Multistability in a Hopfield Neural Network Based on Two Biological Neuronal Systems","display_name":"Extreme Multistability in a Hopfield Neural Network Based on Two Biological Neuronal Systems","publication_year":2022,"publication_date":"2022-06-15","ids":{"openalex":"https://openalex.org/W4285060425","doi":"https://doi.org/10.1109/tcsii.2022.3183340"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2022.3183340","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2022.3183340","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 II: Express Briefs","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/A5060643741","display_name":"Lilian Huang","orcid":"https://orcid.org/0000-0002-3589-285X"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-Lian Huang","raw_affiliation_strings":["MIIT Key Laboratory of Advanced Marine Communication and Information Technology, College of Information and Communication Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-3589-285X","affiliations":[{"raw_affiliation_string":"MIIT Key Laboratory of Advanced Marine Communication and Information Technology, College of Information and Communication Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103017026","display_name":"Yue Zhang","orcid":"https://orcid.org/0000-0002-6507-5893"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Zhang","raw_affiliation_strings":["MIIT Key Laboratory of Advanced Marine Communication and Information Technology, College of Information and Communication Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-6507-5893","affiliations":[{"raw_affiliation_string":"MIIT Key Laboratory of Advanced Marine Communication and Information Technology, College of Information and Communication Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058463992","display_name":"Jianhong Xiang","orcid":"https://orcid.org/0000-0002-5764-7775"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian-Hong Xiang","raw_affiliation_strings":["MIIT Key Laboratory of Advanced Marine Communication and Information Technology, College of Information and Communication Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-5764-7775","affiliations":[{"raw_affiliation_string":"MIIT Key Laboratory of Advanced Marine Communication and Information Technology, College of Information and Communication Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100327048","display_name":"Jin Liu","orcid":"https://orcid.org/0000-0002-4354-4361"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Liu","raw_affiliation_strings":["MIIT Key Laboratory of Advanced Marine Communication and Information Technology, College of Information and Communication Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIIT Key Laboratory of Advanced Marine Communication and Information Technology, College of Information and Communication Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.9943,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.95775217,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"69","issue":"11","first_page":"4568","last_page":"4572"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9927999973297119,"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":0.9908000230789185,"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":0.7509217858314514},{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.7369376420974731},{"id":"https://openalex.org/keywords/biological-neural-network","display_name":"Biological neural network","score":0.6515835523605347},{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.6243085265159607},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.5833079218864441},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5149215459823608},{"id":"https://openalex.org/keywords/physical-neural-network","display_name":"Physical neural network","score":0.5090634226799011},{"id":"https://openalex.org/keywords/synaptic-weight","display_name":"Synaptic weight","score":0.46417972445487976},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.456217885017395},{"id":"https://openalex.org/keywords/neuron","display_name":"Neuron","score":0.43822094798088074},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.40176254510879517},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3830263018608093},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34927108883857727},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30101680755615234},{"id":"https://openalex.org/keywords/time-delay-neural-network","display_name":"Time delay neural network","score":0.27114373445510864},{"id":"https://openalex.org/keywords/types-of-artificial-neural-networks","display_name":"Types of artificial neural networks","score":0.24221962690353394},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.1857522428035736},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.18573105335235596},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15588000416755676},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.133983314037323},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09783902764320374},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.07423040270805359}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7509217858314514},{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.7369376420974731},{"id":"https://openalex.org/C118403218","wikidata":"https://www.wikidata.org/wiki/Q43283","display_name":"Biological neural network","level":2,"score":0.6515835523605347},{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.6243085265159607},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.5833079218864441},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5149215459823608},{"id":"https://openalex.org/C33766855","wikidata":"https://www.wikidata.org/wiki/Q7189618","display_name":"Physical neural network","level":5,"score":0.5090634226799011},{"id":"https://openalex.org/C66949984","wikidata":"https://www.wikidata.org/wiki/Q7662043","display_name":"Synaptic weight","level":3,"score":0.46417972445487976},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.456217885017395},{"id":"https://openalex.org/C2778794669","wikidata":"https://www.wikidata.org/wiki/Q43054","display_name":"Neuron","level":2,"score":0.43822094798088074},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.40176254510879517},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3830263018608093},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34927108883857727},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30101680755615234},{"id":"https://openalex.org/C175202392","wikidata":"https://www.wikidata.org/wiki/Q2434543","display_name":"Time delay neural network","level":3,"score":0.27114373445510864},{"id":"https://openalex.org/C177973122","wikidata":"https://www.wikidata.org/wiki/Q7860946","display_name":"Types of artificial neural networks","level":4,"score":0.24221962690353394},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.1857522428035736},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.18573105335235596},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15588000416755676},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.133983314037323},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09783902764320374},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.07423040270805359},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2022.3183340","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2022.3183340","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1048715910","display_name":null,"funder_award_id":"F201220","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G6612416973","display_name":null,"funder_award_id":"61203004","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/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1988447968","https://openalex.org/W1996774111","https://openalex.org/W2064505746","https://openalex.org/W2112181056","https://openalex.org/W2112246162","https://openalex.org/W2148606078","https://openalex.org/W2152254020","https://openalex.org/W2162651880","https://openalex.org/W2293085836","https://openalex.org/W2614541020","https://openalex.org/W2624618313","https://openalex.org/W2747701901","https://openalex.org/W2758885092","https://openalex.org/W2773944068","https://openalex.org/W2790543749","https://openalex.org/W2911054127","https://openalex.org/W2963390008","https://openalex.org/W2970985487","https://openalex.org/W2972336707","https://openalex.org/W2985841090","https://openalex.org/W2996221948","https://openalex.org/W3002964877","https://openalex.org/W3033277432","https://openalex.org/W3035288648","https://openalex.org/W3110257777","https://openalex.org/W3119014068","https://openalex.org/W3184960021","https://openalex.org/W3198041115","https://openalex.org/W3198875014","https://openalex.org/W3200656268"],"related_works":["https://openalex.org/W2767624311","https://openalex.org/W3035288648","https://openalex.org/W4306921241","https://openalex.org/W4288735490","https://openalex.org/W2962868407","https://openalex.org/W4226149041","https://openalex.org/W4306250553","https://openalex.org/W2368008317","https://openalex.org/W4285060425","https://openalex.org/W4380324834"],"abstract_inverted_index":{"Based":[0],"on":[1,58],"different":[2],"biological":[3,25],"neuronal":[4],"systems,":[5],"various":[6],"memristive":[7,55,77],"neuron":[8,10],"and":[9,39,54,103,120,123],"network":[11,22,73,115],"models":[12],"are":[13,61,85,98,116,127],"generated.":[14],"In":[15],"this":[16],"brief,":[17],"a":[18,47],"three-neurons-based":[19],"Hopfield":[20],"neural":[21,26,59,72,114],"with":[23,30,130],"two":[24],"mechanisms":[27],"is":[28,64],"investigated,":[29],"one":[31,40],"of":[32,41,51,96,112],"three":[33],"neurons":[34],"exposed":[35],"to":[36,100,107],"electromagnetic":[37,52,91],"radiation":[38,53],"the":[42,71,76,89,101,105,113,124],"synaptic":[43,56,78],"weights":[44],"replaced":[45],"by":[46,74,87],"memristor.":[48],"The":[49],"effects":[50],"weight":[57],"networks":[60],"investigated.":[62],"It":[63],"found":[65],"that":[66],"coexisting":[67,83],"behaviors":[68,84],"exist":[69],"in":[70,118,128],"adjusting":[75],"weight.":[79],"Moreover,":[80],"infinitely":[81],"many":[82],"observed":[86],"changing":[88],"initial":[90],"radiation.":[92],"That":[93],"is,":[94],"both":[95],"them":[97],"critical":[99],"system":[102],"have":[104],"potential":[106],"complicate":[108],"it.":[109],"Furthermore,":[110],"circuits":[111],"implemented":[117],"Pspice":[119],"DSP":[121],"board,":[122],"experimental":[125],"results":[126],"agreement":[129],"numerical":[131],"ones.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
