{"id":"https://openalex.org/W2137964721","doi":"https://doi.org/10.1142/s0218127409023329","title":"EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF CELLULAR NEURAL NETWORKS WITH IMPULSES AND LEAKAGE DELAY","display_name":"EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF CELLULAR NEURAL NETWORKS WITH IMPULSES AND LEAKAGE DELAY","publication_year":2009,"publication_date":"2009-03-01","ids":{"openalex":"https://openalex.org/W2137964721","doi":"https://doi.org/10.1142/s0218127409023329","mag":"2137964721"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409023329","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023329","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5100460917","display_name":"Hui Wang","orcid":"https://orcid.org/0000-0003-2633-6015"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I2802584641","display_name":"Leshan Normal University","ror":"https://ror.org/036cvz290","country_code":"CN","type":"education","lineage":["https://openalex.org/I2802584641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"HUI WANG","raw_affiliation_strings":["College of Automation, University of Electronic Science and Technology of China, Chengdu 610064, P. R. China","Department of Mathematics, Leshan Teachers College, Leshan, Sichuan 614004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation, University of Electronic Science and Technology of China, Chengdu 610064, P. R. China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"Department of Mathematics, Leshan Teachers College, Leshan, Sichuan 614004, P. R. China","institution_ids":["https://openalex.org/I2802584641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004761966","display_name":"Chuandong Li","orcid":"https://orcid.org/0000-0001-6155-4849"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"CHUANDONG LI","raw_affiliation_strings":["College of Computer Science, Chongqing University, Chongqing 400030, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science, Chongqing University, Chongqing 400030, P. R. China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100515411","display_name":"Hongbing Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"HONGBING XU","raw_affiliation_strings":["College of Automation, University of Electronic Science and Technology of China, Chengdu 610064, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation, University of Electronic Science and Technology of China, Chengdu 610064, P. R. China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100460917","https://openalex.org/A5100515411"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I2802584641"],"apc_list":null,"apc_paid":null,"fwci":1.0687,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80398458,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"19","issue":"03","first_page":"831","last_page":"842"},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.991599977016449,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9835000038146973,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8392605781555176},{"id":"https://openalex.org/keywords/coincidence","display_name":"Coincidence","score":0.7207269668579102},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6848466396331787},{"id":"https://openalex.org/keywords/leakage","display_name":"Leakage (economics)","score":0.5908679366111755},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5800721645355225},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.5672138333320618},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5552390813827515},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.5322484970092773},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4756816625595093},{"id":"https://openalex.org/keywords/cellular-neural-network","display_name":"Cellular neural network","score":0.45253899693489075},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4472445547580719},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4466625452041626},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38310927152633667},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3100479245185852},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24447888135910034},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17102360725402832},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16315707564353943}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8392605781555176},{"id":"https://openalex.org/C2779832538","wikidata":"https://www.wikidata.org/wiki/Q2308809","display_name":"Coincidence","level":3,"score":0.7207269668579102},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6848466396331787},{"id":"https://openalex.org/C2777042071","wikidata":"https://www.wikidata.org/wiki/Q6509304","display_name":"Leakage (economics)","level":2,"score":0.5908679366111755},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5800721645355225},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5672138333320618},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5552390813827515},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.5322484970092773},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4756816625595093},{"id":"https://openalex.org/C812465","wikidata":"https://www.wikidata.org/wiki/Q5058375","display_name":"Cellular neural network","level":3,"score":0.45253899693489075},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4472445547580719},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4466625452041626},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38310927152633667},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3100479245185852},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24447888135910034},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17102360725402832},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16315707564353943},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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},{"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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409023329","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023329","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W566195298","https://openalex.org/W1501162218","https://openalex.org/W1818450980","https://openalex.org/W1976882763","https://openalex.org/W1978257248","https://openalex.org/W1985436218","https://openalex.org/W1986901745","https://openalex.org/W2004361366","https://openalex.org/W2008895008","https://openalex.org/W2014960375","https://openalex.org/W2016345252","https://openalex.org/W2019470216","https://openalex.org/W2023384445","https://openalex.org/W2023894662","https://openalex.org/W2027301319","https://openalex.org/W2028392152","https://openalex.org/W2029304414","https://openalex.org/W2032930628","https://openalex.org/W2043433264","https://openalex.org/W2053805346","https://openalex.org/W2056717940","https://openalex.org/W2074744002","https://openalex.org/W2077053348","https://openalex.org/W2081874084","https://openalex.org/W2093712873","https://openalex.org/W2094358606","https://openalex.org/W2094979150","https://openalex.org/W2099971180","https://openalex.org/W2105563193","https://openalex.org/W2107025852","https://openalex.org/W2121003919","https://openalex.org/W2136003379","https://openalex.org/W2150551708","https://openalex.org/W2152189682","https://openalex.org/W2156347078","https://openalex.org/W2160121923","https://openalex.org/W4214540269","https://openalex.org/W4230601653"],"related_works":["https://openalex.org/W2369930803","https://openalex.org/W2369469669","https://openalex.org/W1977631350","https://openalex.org/W2008670106","https://openalex.org/W2086830112","https://openalex.org/W4300198192","https://openalex.org/W2137964721","https://openalex.org/W2043433264","https://openalex.org/W2376303936","https://openalex.org/W2380483429"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,28,42],"global":[4,32],"periodicity":[5],"of":[6,21,35,45],"cellular":[7],"neural":[8],"network":[9],"with":[10,16,56],"impulses":[11],"and":[12,31,49],"leakage":[13],"delay":[14,17],"(i.e.":[15],"state":[18,23],"feedback":[19],"instead":[20],"instantaneous":[22],"feedback).":[24],"Several":[25],"conditions":[26],"guaranteeing":[27],"existence,":[29],"uniqueness,":[30],"exponential":[33],"stability":[34],"periodic":[36],"solution":[37],"are":[38],"derived":[39],"by":[40],"using":[41],"continuation":[43],"theorem":[44],"coincidence":[46],"degree":[47],"theory":[48],"a":[50],"suitable":[51],"degenerate":[52],"Lyapuniv\u2014Krasvovskii":[53],"functional":[54],"together":[55],"model":[57],"transformation":[58],"technique.":[59]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
