{"id":"https://openalex.org/W2515267897","doi":"https://doi.org/10.1007/s11063-016-9546-6","title":"Piecewise Pseudo Almost Periodic Solution for Impulsive Generalised High-Order Hopfield Neural Networks with Leakage Delays","display_name":"Piecewise Pseudo Almost Periodic Solution for Impulsive Generalised High-Order Hopfield Neural Networks with Leakage Delays","publication_year":2016,"publication_date":"2016-08-20","ids":{"openalex":"https://openalex.org/W2515267897","doi":"https://doi.org/10.1007/s11063-016-9546-6","mag":"2515267897"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-016-9546-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11063-016-9546-6","pdf_url":null,"source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"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 Processing Letters","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":false,"raw_author_name":"Chaouki Aouiti","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, BP W, 7021 Zarzouna, Bizerta, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, BP W, 7021 Zarzouna, Bizerta, Tunisia","institution_ids":["https://openalex.org/I179097149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088263673","display_name":"Mohammed M\u2019Hamdi","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":"Mohammed Salah M\u2019hamdi","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, BP W, 7021 Zarzouna, Bizerta, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, BP W, 7021 Zarzouna, Bizerta, Tunisia","institution_ids":["https://openalex.org/I179097149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN","SA"],"is_corresponding":true,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia","Department of Mathematics, Southeast University, Nanjing, 210096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Mathematics, Southeast University, Nanjing, 210096, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108681726","display_name":"Ahmed Alsaedi","orcid":"https://orcid.org/0000-0003-3452-8922"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ahmed Alsaedi","raw_affiliation_strings":["Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017808266"],"corresponding_institution_ids":["https://openalex.org/I185163786","https://openalex.org/I76569877"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":11.6006,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.98465085,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"45","issue":"2","first_page":"615","last_page":"648"},"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":0.991599977016449,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9714999794960022,"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/piecewise","display_name":"Piecewise","score":0.7532378435134888},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6740425229072571},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.6677638292312622},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6171623468399048},{"id":"https://openalex.org/keywords/leakage","display_name":"Leakage (economics)","score":0.6021735072135925},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5754190683364868},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.5077808499336243},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.49990224838256836},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4544426202774048},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.452671080827713},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4341461658477783},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4300248622894287},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3066507577896118},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.27562034130096436},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2602717876434326},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.25292879343032837},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08270478248596191},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07698684930801392},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07344132661819458}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7532378435134888},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6740425229072571},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.6677638292312622},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6171623468399048},{"id":"https://openalex.org/C2777042071","wikidata":"https://www.wikidata.org/wiki/Q6509304","display_name":"Leakage (economics)","level":2,"score":0.6021735072135925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5754190683364868},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5077808499336243},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.49990224838256836},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4544426202774048},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.452671080827713},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4341461658477783},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4300248622894287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3066507577896118},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.27562034130096436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2602717876434326},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.25292879343032837},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08270478248596191},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07698684930801392},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07344132661819458},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-016-9546-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11063-016-9546-6","pdf_url":null,"source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"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 Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5245222477","display_name":null,"funder_award_id":"11072059","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W324571436","https://openalex.org/W566434069","https://openalex.org/W569034369","https://openalex.org/W608262935","https://openalex.org/W1052609504","https://openalex.org/W1122524360","https://openalex.org/W1972424720","https://openalex.org/W1973147356","https://openalex.org/W1975846374","https://openalex.org/W1983829418","https://openalex.org/W1996851977","https://openalex.org/W2000648201","https://openalex.org/W2004811099","https://openalex.org/W2009365549","https://openalex.org/W2012259388","https://openalex.org/W2013337319","https://openalex.org/W2019470216","https://openalex.org/W2028256247","https://openalex.org/W2030453024","https://openalex.org/W2030720831","https://openalex.org/W2037724941","https://openalex.org/W2052097541","https://openalex.org/W2058920526","https://openalex.org/W2064220528","https://openalex.org/W2077251623","https://openalex.org/W2079821627","https://openalex.org/W2083816818","https://openalex.org/W2086830112","https://openalex.org/W2092538865","https://openalex.org/W2093634758","https://openalex.org/W2093681436","https://openalex.org/W2094808436","https://openalex.org/W2121642303","https://openalex.org/W2123562529","https://openalex.org/W2141853014","https://openalex.org/W2144226079","https://openalex.org/W2200614381","https://openalex.org/W2214195367","https://openalex.org/W2331514810","https://openalex.org/W4212940716"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W1979229270","https://openalex.org/W4327738859","https://openalex.org/W2374600121","https://openalex.org/W125502673","https://openalex.org/W2384948345","https://openalex.org/W2027784897","https://openalex.org/W2368364854","https://openalex.org/W2348722996","https://openalex.org/W2776265842"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":23},{"year":2017,"cited_by_count":5}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}