{"id":"https://openalex.org/W4406320839","doi":"https://doi.org/10.1007/s00521-024-10820-z","title":"Exponential synchronization of bi-directional associative memory neural networks with delay on arbitrary time domains","display_name":"Exponential synchronization of bi-directional associative memory neural networks with delay on arbitrary time domains","publication_year":2025,"publication_date":"2025-01-13","ids":{"openalex":"https://openalex.org/W4406320839","doi":"https://doi.org/10.1007/s00521-024-10820-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-024-10820-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00521-024-10820-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00521-024-10820-z.pdf","source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00521-024-10820-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056436559","display_name":"Vipin Kumar","orcid":"https://orcid.org/0000-0002-7068-5426"},"institutions":[{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]},{"id":"https://openalex.org/I70971781","display_name":"Dr. B. R. Ambedkar National Institute of Technology Jalandhar","ror":"https://ror.org/03xt0bg88","country_code":"IN","type":"education","lineage":["https://openalex.org/I70971781"]}],"countries":["DE","IN"],"is_corresponding":true,"raw_author_name":"Vipin Kumar","raw_affiliation_strings":["Department of Mathematics and Computing, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Jalandhar, Punjab, 144011, India","Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstra\u00dfe 1, 39106, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computing, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Jalandhar, Punjab, 144011, India","institution_ids":["https://openalex.org/I70971781"]},{"raw_affiliation_string":"Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstra\u00dfe 1, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jan Heiland","orcid":"https://orcid.org/0000-0002-7068-5426"},"institutions":[{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jan Heiland","raw_affiliation_strings":["Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstra\u00dfe 1, 39106, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstra\u00dfe 1, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060985095","display_name":"Peter Benner","orcid":"https://orcid.org/0000-0003-3362-4103"},"institutions":[{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Benner","raw_affiliation_strings":["Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstra\u00dfe 1, 39106, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstra\u00dfe 1, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056436559"],"corresponding_institution_ids":["https://openalex.org/I4210127568","https://openalex.org/I70971781"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":7.6584,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.96582259,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"37","issue":"8","first_page":"6383","last_page":"6400"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9983000159263611,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7718384265899658},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6616754531860352},{"id":"https://openalex.org/keywords/content-addressable-memory","display_name":"Content-addressable memory","score":0.6236544251441956},{"id":"https://openalex.org/keywords/bidirectional-associative-memory","display_name":"Bidirectional associative memory","score":0.5762741565704346},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5051053166389465},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.45361047983169556},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.45348331332206726},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4439627230167389},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4410865604877472},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4397473633289337},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.42669761180877686},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.41111040115356445},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35369783639907837},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26664215326309204},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23132529854774475},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.16110089421272278},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.0744292140007019}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7718384265899658},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6616754531860352},{"id":"https://openalex.org/C53442348","wikidata":"https://www.wikidata.org/wiki/Q745101","display_name":"Content-addressable memory","level":3,"score":0.6236544251441956},{"id":"https://openalex.org/C120620853","wikidata":"https://www.wikidata.org/wiki/Q506355","display_name":"Bidirectional associative memory","level":4,"score":0.5762741565704346},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5051053166389465},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.45361047983169556},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.45348331332206726},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4439627230167389},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4410865604877472},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4397473633289337},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.42669761180877686},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.41111040115356445},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35369783639907837},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26664215326309204},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23132529854774475},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.16110089421272278},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0744292140007019},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00521-024-10820-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00521-024-10820-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00521-024-10820-z.pdf","source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00521-024-10820-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00521-024-10820-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00521-024-10820-z.pdf","source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4406320839.pdf"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W198005369","https://openalex.org/W271810198","https://openalex.org/W1687474348","https://openalex.org/W1970442252","https://openalex.org/W1981493112","https://openalex.org/W2028322007","https://openalex.org/W2029843623","https://openalex.org/W2050595240","https://openalex.org/W2056597368","https://openalex.org/W2060548096","https://openalex.org/W2072065165","https://openalex.org/W2095425517","https://openalex.org/W2103625269","https://openalex.org/W2111926818","https://openalex.org/W2112246162","https://openalex.org/W2127174510","https://openalex.org/W2134359362","https://openalex.org/W2167797372","https://openalex.org/W2258502138","https://openalex.org/W2499707561","https://openalex.org/W2566047605","https://openalex.org/W2570849123","https://openalex.org/W2724807316","https://openalex.org/W2756399727","https://openalex.org/W2789571611","https://openalex.org/W2790122093","https://openalex.org/W2794592370","https://openalex.org/W2807952131","https://openalex.org/W2899155163","https://openalex.org/W2901847282","https://openalex.org/W2911773617","https://openalex.org/W2916519074","https://openalex.org/W2982904561","https://openalex.org/W2986309809","https://openalex.org/W2998501795","https://openalex.org/W3006750543","https://openalex.org/W3022311008","https://openalex.org/W3037620381","https://openalex.org/W3046170397","https://openalex.org/W3094435064","https://openalex.org/W3118517214","https://openalex.org/W3214383173","https://openalex.org/W4296121907","https://openalex.org/W4296949201","https://openalex.org/W4360612479","https://openalex.org/W4386603284","https://openalex.org/W4390661741","https://openalex.org/W4392243029","https://openalex.org/W4393856464"],"related_works":["https://openalex.org/W1987836535","https://openalex.org/W4321273133","https://openalex.org/W2109892802","https://openalex.org/W1503438809","https://openalex.org/W2769111744","https://openalex.org/W1536116856","https://openalex.org/W2260028708","https://openalex.org/W2618685348","https://openalex.org/W2140603008","https://openalex.org/W1902246517"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"investigate":[2],"the":[3,23,77,93,102,138,141],"exponential":[4,60],"synchronization":[5,61],"of":[6,17,25,92,104,112,147],"bi-directional":[7],"associative":[8],"memory":[9],"neural":[10],"networks":[11],"with":[12],"delays":[13],"on":[14],"a":[15,47,51,98],"family":[16],"different":[18,126],"time":[19,26,42,127],"domains.":[20,43,128],"By":[21],"utilizing":[22],"theory":[24],"scales,":[27],"we":[28,87,130],"provide":[29,97],"stabilization":[30],"results":[31,133],"that":[32],"are":[33],"applicable":[34],"to":[35,54,58,134,152],"continuous-time,":[36],"discrete-time,":[37],"and":[38,62,96,120,144],"general":[39],"nonuniform":[40],"hybrid":[41],"Our":[44],"approach":[45],"employs":[46],"unified":[48],"matrix-measure":[49],"theory,":[50],"recent":[52],"alternative":[53],"traditional":[55],"Lyapunov":[56],"functions,":[57],"establish":[59],"design":[63],"effective":[64],"feedback":[65],"laws.":[66],"Notably,":[67],"our":[68,105,113,132,148],"methodology":[69],"does":[70],"not":[71],"require":[72],"symmetry":[73],"or":[74],"diagonality":[75],"in":[76,150],"control":[78],"gain":[79],"matrix,":[80],"distinguishing":[81],"it":[82],"from":[83,137],"prior":[84],"works.":[85],"Furthermore,":[86],"explore":[88],"various":[89],"special":[90],"cases":[91],"considered":[94],"systems":[95],"detailed":[99],"discussion":[100],"highlighting":[101],"advantages":[103],"findings":[106],"over":[107],"existing":[108],"results.":[109],"The":[110],"effectiveness":[111],"proposed":[114],"criteria":[115],"is":[116],"demonstrated":[117],"through":[118],"small-scale":[119],"medium-scale":[121],"simulated":[122],"numerical":[123],"examples":[124],"across":[125],"Additionally,":[129],"apply":[131],"an":[135],"example":[136],"literature,":[139],"showcasing":[140],"broad":[142],"applicability":[143],"improved":[145],"performance":[146],"method":[149],"comparison":[151],"previous":[153],"approaches.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3}],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}
