{"id":"https://openalex.org/W4403421199","doi":"https://doi.org/10.1109/tnnls.2024.3474249","title":"Multistability of Almost Periodic Solutions for Fuzzy Competitive NNs With Time-Varying Delays","display_name":"Multistability of Almost Periodic Solutions for Fuzzy Competitive NNs With Time-Varying Delays","publication_year":2024,"publication_date":"2024-10-15","ids":{"openalex":"https://openalex.org/W4403421199","doi":"https://doi.org/10.1109/tnnls.2024.3474249","pmid":"https://pubmed.ncbi.nlm.nih.gov/39405134"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2024.3474249","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3474249","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5101816451","display_name":"Qianyu Zhao","orcid":"https://orcid.org/0000-0002-0344-7217"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qianyu Zhao","raw_affiliation_strings":["School of Mathematics, JCAM, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, JCAM, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013161489","display_name":"Song Zhu","orcid":"https://orcid.org/0000-0001-5228-9406"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song Zhu","raw_affiliation_strings":["School of Mathematics, JCAM, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, JCAM, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072434494","display_name":"Zhen Zhang","orcid":"https://orcid.org/0000-0002-8905-3357"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Zhang","raw_affiliation_strings":["School of Mathematics, JCAM, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, JCAM, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006095173","display_name":"Weiwei Luo","orcid":"https://orcid.org/0000-0001-7221-6554"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiwei Luo","raw_affiliation_strings":["School of Mathematics, JCAM, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, JCAM, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002547378","display_name":"Shiping Wen","orcid":"https://orcid.org/0000-0001-8077-7001"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Shiping Wen","raw_affiliation_strings":["Faculty of Engineering and Information Technology, Australian Artificial Intelligence Institute, University of Technology Sydney, Sydney, NSW, Australia","Australian Artificial Intelligence Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Information Technology, Australian Artificial Intelligence Institute, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]},{"raw_affiliation_string":"Australian Artificial Intelligence Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101816451"],"corresponding_institution_ids":["https://openalex.org/I25757504"],"apc_list":null,"apc_paid":null,"fwci":5.2866,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.96309963,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"36","issue":"7","first_page":"11835","last_page":"11846"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9710999727249146,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9710999727249146,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.9314029216766357},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5755267143249512},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.564536452293396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43056511878967285},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41564658284187317},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.303056001663208},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.155353844165802},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07394656538963318},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.052137166261672974}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.9314029216766357},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5755267143249512},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.564536452293396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43056511878967285},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41564658284187317},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.303056001663208},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.155353844165802},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07394656538963318},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.052137166261672974},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2024.3474249","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3474249","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:39405134","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39405134","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4390946898","display_name":null,"funder_award_id":"62173177","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7028688110","display_name":null,"funder_award_id":"62373358","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7341169115","display_name":null,"funder_award_id":"62276119","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1978508564","https://openalex.org/W2012544963","https://openalex.org/W2034828267","https://openalex.org/W2039375846","https://openalex.org/W2044909398","https://openalex.org/W2057147496","https://openalex.org/W2057284391","https://openalex.org/W2117621813","https://openalex.org/W2118580492","https://openalex.org/W2123268478","https://openalex.org/W2128747957","https://openalex.org/W2145581742","https://openalex.org/W2147514436","https://openalex.org/W2148432913","https://openalex.org/W2157557180","https://openalex.org/W2159826488","https://openalex.org/W2322133617","https://openalex.org/W2582971624","https://openalex.org/W2790719793","https://openalex.org/W2894411297","https://openalex.org/W2966024432","https://openalex.org/W2981607767","https://openalex.org/W2986128400","https://openalex.org/W2991327194","https://openalex.org/W3004112379","https://openalex.org/W3033785455","https://openalex.org/W3127789660","https://openalex.org/W3133079543","https://openalex.org/W3153918930","https://openalex.org/W3159546681","https://openalex.org/W3170921395","https://openalex.org/W3191041039","https://openalex.org/W3193182698","https://openalex.org/W4282927274","https://openalex.org/W4294891449","https://openalex.org/W4312619822","https://openalex.org/W4313598864","https://openalex.org/W4367280087","https://openalex.org/W4386869709","https://openalex.org/W4387546375","https://openalex.org/W4388286368","https://openalex.org/W4388579584","https://openalex.org/W4389317840","https://openalex.org/W4391984262","https://openalex.org/W4392939971"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1527571384","https://openalex.org/W2383189914","https://openalex.org/W2963840034","https://openalex.org/W4301445084","https://openalex.org/W1984975294","https://openalex.org/W1964251919","https://openalex.org/W4226178663","https://openalex.org/W1517717759","https://openalex.org/W2316579689"],"abstract_inverted_index":{"In":[0],"this":[1,107],"article,":[2],"the":[3,33,38,45,65,69,76,84,91,104],"multistability":[4,46,79],"problem":[5],"of":[6,10,37,47,68,87,106],"almost":[7,34,48,56],"periodic":[8,35,49,57],"solutions":[9,50,58],"fuzzy":[11,81],"competitive":[12],"neural":[13],"networks":[14],"(FCNNs)":[15],"with":[16],"time-varying":[17],"delays":[18],"is":[19,95],"investigated.":[20],"Considering":[21],"more":[22],"general":[23],"activation":[24,70],"functions,":[25,71],"which":[26,72],"are":[27,51,59,100],"nonmonotonic":[28],"and":[29,31,74],"nonlinear,":[30],"incorporating":[32],"property":[36],"parameters":[39],"in":[40,80],"FCNNs,":[41],"sufficient":[42],"conditions":[43],"for":[44],"given.":[52],"$\\prod":[53],"_{r=1}^{n}(L_{r}+1)$":[54],"stable":[55],"obtained,":[60],"where":[61],"$L_{r}$":[62],"depends":[63],"on":[64,78,90],"geometric":[66],"features":[67],"enriches":[73],"extends":[75],"research":[77],"systems.":[82],"Furthermore,":[83],"extended":[85],"domain":[86],"attraction":[88],"based":[89],"original":[92],"state":[93],"space":[94],"presented.":[96],"Finally,":[97],"numerical":[98],"simulations":[99],"provided":[101],"to":[102],"verify":[103],"conclusions":[105],"article.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
