{"id":"https://openalex.org/W2885920046","doi":"https://doi.org/10.1007/s00521-018-3651-6","title":"$$(\\mu ,\\nu )$$(\u03bc,\u03bd)-Pseudo-almost automorphic solutions for high-order Hopfield bidirectional associative memory neural networks","display_name":"$$(\\mu ,\\nu )$$(\u03bc,\u03bd)-Pseudo-almost automorphic solutions for high-order Hopfield bidirectional associative memory neural networks","publication_year":2018,"publication_date":"2018-08-10","ids":{"openalex":"https://openalex.org/W2885920046","doi":"https://doi.org/10.1007/s00521-018-3651-6","mag":"2885920046"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-018-3651-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-018-3651-6","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062520787","display_name":"Chaouki Aouiti","orcid":"https://orcid.org/0000-0002-8252-9017"},"institutions":[{"id":"https://openalex.org/I179097149","display_name":"University of Carthage","ror":"https://ror.org/057x6za15","country_code":"TN","type":"education","lineage":["https://openalex.org/I179097149"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Chaouki Aouiti","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences of Bizerta, Research Units of Mathematics and Applications UR13ES47, University of Carthage, 7021, Zarzouna, Bizerta, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences of Bizerta, Research Units of Mathematics and Applications UR13ES47, University of Carthage, 7021, Zarzouna, Bizerta, Tunisia","institution_ids":["https://openalex.org/I179097149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074106001","display_name":"Farah Dridi","orcid":null},"institutions":[{"id":"https://openalex.org/I179097149","display_name":"University of Carthage","ror":"https://ror.org/057x6za15","country_code":"TN","type":"education","lineage":["https://openalex.org/I179097149"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Farah Dridi","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences of Bizerta, Research Units of Mathematics and Applications UR13ES47, University of Carthage, 7021, Zarzouna, Bizerta, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences of Bizerta, Research Units of Mathematics and Applications UR13ES47, University of Carthage, 7021, Zarzouna, Bizerta, Tunisia","institution_ids":["https://openalex.org/I179097149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062520787"],"corresponding_institution_ids":["https://openalex.org/I179097149"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8955,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.8714776,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"32","issue":"5","first_page":"1435","last_page":"1456"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9639000296592712,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10320","display_name":"Neural Networks and Applications","score":0.9629999995231628,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8112517595291138},{"id":"https://openalex.org/keywords/content-addressable-memory","display_name":"Content-addressable memory","score":0.7232285141944885},{"id":"https://openalex.org/keywords/bidirectional-associative-memory","display_name":"Bidirectional associative memory","score":0.7223658561706543},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6630285382270813},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.633354902267456},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5795684456825256},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5692403316497803},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5445516109466553},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5168766975402832},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5093272924423218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5064469575881958},{"id":"https://openalex.org/keywords/banach-fixed-point-theorem","display_name":"Banach fixed-point theorem","score":0.48783376812934875},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.45485571026802063},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.4480477273464203},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3973664343357086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.362272709608078},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24545469880104065},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11174264550209045},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08941590785980225},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07720914483070374}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8112517595291138},{"id":"https://openalex.org/C53442348","wikidata":"https://www.wikidata.org/wiki/Q745101","display_name":"Content-addressable memory","level":3,"score":0.7232285141944885},{"id":"https://openalex.org/C120620853","wikidata":"https://www.wikidata.org/wiki/Q506355","display_name":"Bidirectional associative memory","level":4,"score":0.7223658561706543},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6630285382270813},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.633354902267456},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5795684456825256},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5692403316497803},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5445516109466553},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5168766975402832},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5093272924423218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5064469575881958},{"id":"https://openalex.org/C2780549194","wikidata":"https://www.wikidata.org/wiki/Q220680","display_name":"Banach fixed-point theorem","level":3,"score":0.48783376812934875},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.45485571026802063},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.4480477273464203},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3973664343357086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.362272709608078},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24545469880104065},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11174264550209045},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08941590785980225},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07720914483070374},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00521-018-3651-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-018-3651-6","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computing and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W8994522","https://openalex.org/W354507263","https://openalex.org/W1481999284","https://openalex.org/W1637821429","https://openalex.org/W1968501999","https://openalex.org/W1968534938","https://openalex.org/W1971373746","https://openalex.org/W1972611794","https://openalex.org/W1973147356","https://openalex.org/W1987775360","https://openalex.org/W1988765510","https://openalex.org/W1995164593","https://openalex.org/W2001118854","https://openalex.org/W2002408423","https://openalex.org/W2014829856","https://openalex.org/W2015634420","https://openalex.org/W2020174839","https://openalex.org/W2035162914","https://openalex.org/W2047624438","https://openalex.org/W2052147264","https://openalex.org/W2089047914","https://openalex.org/W2089218466","https://openalex.org/W2110030163","https://openalex.org/W2127174510","https://openalex.org/W2161350468","https://openalex.org/W2180021682","https://openalex.org/W2331514810","https://openalex.org/W2469314752","https://openalex.org/W2510108600","https://openalex.org/W2515267897","https://openalex.org/W2515927598","https://openalex.org/W2518582440","https://openalex.org/W2573298726","https://openalex.org/W2588052077","https://openalex.org/W2613476813","https://openalex.org/W2624136808","https://openalex.org/W2690721124","https://openalex.org/W2765791666","https://openalex.org/W2777730863","https://openalex.org/W2791377505","https://openalex.org/W2791613444","https://openalex.org/W2794120696","https://openalex.org/W2795517593","https://openalex.org/W3099136959"],"related_works":["https://openalex.org/W1987836535","https://openalex.org/W2357913245","https://openalex.org/W2121614139","https://openalex.org/W2050720944","https://openalex.org/W2091101328","https://openalex.org/W2368008317","https://openalex.org/W2086947275","https://openalex.org/W2139952488","https://openalex.org/W1546378703","https://openalex.org/W1987775360"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}