{"id":"https://openalex.org/W126481678","doi":"https://doi.org/10.1007/978-3-642-01216-7_5","title":"Global Exponential Stability of High-Order Hopfield Neural Networks with Time Delays","display_name":"Global Exponential Stability of High-Order Hopfield Neural Networks with Time Delays","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W126481678","doi":"https://doi.org/10.1007/978-3-642-01216-7_5","mag":"126481678"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-01216-7_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-01216-7_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5083193684","display_name":"Jianlong Qiu","orcid":"https://orcid.org/0000-0002-9886-3570"},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]},{"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"],"is_corresponding":true,"raw_author_name":"Jianlong Qiu","raw_affiliation_strings":["Department of Mathematics, Linyi Normal University, Linyi, 276005, China","School of Automation, Southeast University, Nanjing, 210096, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Linyi Normal University, Linyi, 276005, China","institution_ids":["https://openalex.org/I15823474"]},{"raw_affiliation_string":"School of Automation, Southeast University, Nanjing, 210096, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040726157","display_name":"Quanxin Cheng","orcid":null},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"Quanxin Cheng","raw_affiliation_strings":["Department of Mathematics, Southeast University, Nanjing, 210096, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southeast University, Nanjing, 210096, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083193684"],"corresponding_institution_ids":["https://openalex.org/I15823474","https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.03287239,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"39","last_page":"47"},"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":0.9991999864578247,"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":0.9973999857902527,"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":0.6356518864631653},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.586111307144165},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.5193884968757629},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4512353539466858},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4394019842147827},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4167903959751129},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3390163779258728},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26712334156036377},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11530932784080505},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08681371808052063},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07406085729598999},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.038987308740615845}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6356518864631653},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.586111307144165},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.5193884968757629},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4512353539466858},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4394019842147827},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4167903959751129},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3390163779258728},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26712334156036377},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11530932784080505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08681371808052063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07406085729598999},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.038987308740615845},{"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:10.1007/978-3-642-01216-7_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-01216-7_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210208846","display_name":"Advances in intelligent and soft computing","issn_l":"1867-5662","issn":["1867-5662","1867-5670"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1973147356","https://openalex.org/W2047336658","https://openalex.org/W2072029523","https://openalex.org/W2081274687","https://openalex.org/W2097032506","https://openalex.org/W2099624136","https://openalex.org/W2110030163","https://openalex.org/W2117543872","https://openalex.org/W2117586864","https://openalex.org/W2129755448","https://openalex.org/W2146014298","https://openalex.org/W2157509201","https://openalex.org/W3210839039","https://openalex.org/W4231061330"],"related_works":["https://openalex.org/W2218979613","https://openalex.org/W2117614743","https://openalex.org/W2951527796","https://openalex.org/W2979762782","https://openalex.org/W2128425805","https://openalex.org/W1967777287","https://openalex.org/W2113914464","https://openalex.org/W1494567074","https://openalex.org/W2013559073","https://openalex.org/W2357913245"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
