{"id":"https://openalex.org/W1609345506","doi":"https://doi.org/10.1109/ijcnn.2003.1223810","title":"New results on exponential periodicity of delayed neural networks","display_name":"New results on exponential periodicity of delayed neural networks","publication_year":2004,"publication_date":"2004-03-22","ids":{"openalex":"https://openalex.org/W1609345506","doi":"https://doi.org/10.1109/ijcnn.2003.1223810","mag":"1609345506"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2003.1223810","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223810","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Joint Conference on Neural Networks, 2003.","raw_type":"proceedings-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/A5019248683","display_name":"Changyin Sun","orcid":"https://orcid.org/0000-0001-9269-334X"},"institutions":[{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]},{"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":"Changyin Sun","raw_affiliation_strings":["Research Institute of Automation, South-East University, Nanjing, China","Research Institute of Automation, Southeast University, Nanjing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Research Institute of Automation, South-East University, Nanjing, China","institution_ids":["https://openalex.org/I76569877","https://openalex.org/I4210094879"]},{"raw_affiliation_string":"Research Institute of Automation, Southeast University, Nanjing, China#TAB#","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004057129","display_name":"Derong Liu","orcid":"https://orcid.org/0000-0003-3715-4778"},"institutions":[{"id":"https://openalex.org/I4210145583","display_name":"Bioengineering Center","ror":"https://ror.org/04f0ydx59","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210145583"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"Derong Liu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois, Chicago, IL, USA","Bioengineering"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Bioengineering","institution_ids":["https://openalex.org/I4210145583"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103761290","display_name":"Chun\u2010Bo Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]},{"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":"Chun-Bo Feng","raw_affiliation_strings":["Research Institute of Automation, South-East University, Nanjing, China","(Southeast University)"],"affiliations":[{"raw_affiliation_string":"Research Institute of Automation, South-East University, Nanjing, China","institution_ids":["https://openalex.org/I76569877","https://openalex.org/I4210094879"]},{"raw_affiliation_string":"(Southeast University)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019248683"],"corresponding_institution_ids":["https://openalex.org/I4210094879","https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":1.1588,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82213857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"902","last_page":"907"},"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":0.9934999942779541,"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":0.9861999750137329,"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/uniqueness","display_name":"Uniqueness","score":0.8716152310371399},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.7332769632339478},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6886610388755798},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5907987952232361},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.579188883304596},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.51864093542099},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5114194750785828},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4689369201660156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4439460039138794},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.44210273027420044},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25115272402763367},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1653110682964325},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09667178988456726},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0921562910079956}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8716152310371399},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7332769632339478},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6886610388755798},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5907987952232361},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.579188883304596},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.51864093542099},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5114194750785828},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4689369201660156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4439460039138794},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.44210273027420044},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25115272402763367},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1653110682964325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09667178988456726},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0921562910079956},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2003.1223810","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2003.1223810","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Joint Conference on Neural Networks, 2003.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W83533993","https://openalex.org/W1534096605","https://openalex.org/W2004361366","https://openalex.org/W2015699835","https://openalex.org/W2036270456","https://openalex.org/W2041291286","https://openalex.org/W2048646957","https://openalex.org/W2055606008","https://openalex.org/W2056717940","https://openalex.org/W2084820442","https://openalex.org/W2100337613","https://openalex.org/W2102227134","https://openalex.org/W2108991935","https://openalex.org/W2109653785","https://openalex.org/W2112246162","https://openalex.org/W2117288934","https://openalex.org/W2118727015","https://openalex.org/W2119348028","https://openalex.org/W2119772282","https://openalex.org/W2121003919","https://openalex.org/W2121752938","https://openalex.org/W2121865783","https://openalex.org/W2128332575","https://openalex.org/W2129536625","https://openalex.org/W2150408969","https://openalex.org/W2152189682","https://openalex.org/W2157260984","https://openalex.org/W2159468916","https://openalex.org/W2160121923","https://openalex.org/W2169765193","https://openalex.org/W2373941911","https://openalex.org/W4255733030","https://openalex.org/W6632138476","https://openalex.org/W6682303788","https://openalex.org/W6837864458"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4285277090","https://openalex.org/W2340777379","https://openalex.org/W4298023222"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"exponential":[3],"periodicity":[4],"of":[5,18,30,37],"neural":[6,38],"networks":[7,39],"with":[8,40],"delays":[9,41],"is":[10],"investigated.":[11],"Without":[12],"assuming":[13],"the":[14,19],"boundedness":[15],"and":[16,28],"differentiability":[17],"activation":[20],"functions,":[21],"some":[22,47],"new":[23],"sufficient":[24],"conditions":[25],"ensuring":[26],"existence":[27],"uniqueness":[29],"periodic":[31],"solution":[32],"for":[33],"a":[34],"general":[35],"class":[36],"are":[42],"obtained.":[43],"This":[44],"work":[45],"gives":[46],"improvements":[48],"to":[49],"previous":[50],"ones.":[51]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}