{"id":"https://openalex.org/W4292692589","doi":"https://doi.org/10.1142/s0218001422590236","title":"Global Mittag-Leffler Stability and Global Asymptotic \u03c9-Period for Fractional-Order Cohen\u2013Grossberg Neural Networks with Time-Varying Delays","display_name":"Global Mittag-Leffler Stability and Global Asymptotic \u03c9-Period for Fractional-Order Cohen\u2013Grossberg Neural Networks with Time-Varying Delays","publication_year":2022,"publication_date":"2022-06-09","ids":{"openalex":"https://openalex.org/W4292692589","doi":"https://doi.org/10.1142/s0218001422590236"},"language":"en","primary_location":{"id":"doi:10.1142/s0218001422590236","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218001422590236","pdf_url":null,"source":{"id":"https://openalex.org/S41486457","display_name":"International Journal of Pattern Recognition and Artificial Intelligence","issn_l":"0218-0014","issn":["0218-0014","1793-6381"],"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 Pattern Recognition and Artificial Intelligence","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/A5004104602","display_name":"Wangdong Jiang","orcid":"https://orcid.org/0000-0002-5474-4561"},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wangdong Jiang","raw_affiliation_strings":["Fundamental Department, Shaoxing University Yuanpei College, Qunxian Middle Road 2799, Yuecheng District, Shaoxing City, Zhejiang Province, P. R. China"],"affiliations":[{"raw_affiliation_string":"Fundamental Department, Shaoxing University Yuanpei College, Qunxian Middle Road 2799, Yuecheng District, Shaoxing City, Zhejiang Province, P. R. China","institution_ids":["https://openalex.org/I192209268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100634232","display_name":"Zhiying Li","orcid":"https://orcid.org/0000-0002-7812-3567"},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiying Li","raw_affiliation_strings":["Fundamental Department, Shaoxing University Yuanpei College, Qunxian Middle Road 2799, Yuecheng District, Shaoxing City, Zhejiang Province, P. R. China"],"affiliations":[{"raw_affiliation_string":"Fundamental Department, Shaoxing University Yuanpei College, Qunxian Middle Road 2799, Yuecheng District, Shaoxing City, Zhejiang Province, P. R. China","institution_ids":["https://openalex.org/I192209268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101843704","display_name":"Yuehong Zhang","orcid":"https://orcid.org/0000-0001-8702-909X"},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuehong Zhang","raw_affiliation_strings":["Fundamental Department, Shaoxing University Yuanpei College, Qunxian Middle Road 2799, Yuecheng District, Shaoxing City, Zhejiang Province, P. R. China"],"affiliations":[{"raw_affiliation_string":"Fundamental Department, Shaoxing University Yuanpei College, Qunxian Middle Road 2799, Yuecheng District, Shaoxing City, Zhejiang Province, P. R. China","institution_ids":["https://openalex.org/I192209268"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100634232"],"corresponding_institution_ids":["https://openalex.org/I192209268"],"apc_list":null,"apc_paid":null,"fwci":0.4142,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62145833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"36","issue":"12","first_page":null,"last_page":null},"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":0.996999979019165,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/mathematics","display_name":"Mathematics","score":0.746595025062561},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.674331784248352},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6381770968437195},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.588356614112854},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5838865637779236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5816089510917664},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5349553823471069},{"id":"https://openalex.org/keywords/stability-theorem","display_name":"Stability theorem","score":0.48997536301612854},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4594830274581909},{"id":"https://openalex.org/keywords/mittag-leffler-function","display_name":"Mittag-Leffler function","score":0.4281976819038391},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4152871370315552},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24670791625976562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19877493381500244},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13753467798233032},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07723954319953918}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.746595025062561},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.674331784248352},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6381770968437195},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.588356614112854},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5838865637779236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5816089510917664},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5349553823471069},{"id":"https://openalex.org/C2985318062","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theorem","level":3,"score":0.48997536301612854},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4594830274581909},{"id":"https://openalex.org/C98724732","wikidata":"https://www.wikidata.org/wiki/Q1935235","display_name":"Mittag-Leffler function","level":3,"score":0.4281976819038391},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4152871370315552},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24670791625976562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19877493381500244},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13753467798233032},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07723954319953918},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218001422590236","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218001422590236","pdf_url":null,"source":{"id":"https://openalex.org/S41486457","display_name":"International Journal of Pattern Recognition and Artificial Intelligence","issn_l":"0218-0014","issn":["0218-0014","1793-6381"],"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 Pattern Recognition and Artificial Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1916426417","https://openalex.org/W1920469802","https://openalex.org/W1965047319","https://openalex.org/W1975003303","https://openalex.org/W1993445800","https://openalex.org/W1995227722","https://openalex.org/W1995299211","https://openalex.org/W2033470589","https://openalex.org/W2051054098","https://openalex.org/W2053751819","https://openalex.org/W2053904501","https://openalex.org/W2067002012","https://openalex.org/W2151015649","https://openalex.org/W2185786106","https://openalex.org/W2286622088","https://openalex.org/W2344164154","https://openalex.org/W2359763721","https://openalex.org/W2519731925","https://openalex.org/W2728040771","https://openalex.org/W2752427908","https://openalex.org/W2786849550","https://openalex.org/W2787959293","https://openalex.org/W2788578472","https://openalex.org/W2799286076","https://openalex.org/W2937903190","https://openalex.org/W3004112379","https://openalex.org/W3092903289","https://openalex.org/W3206444031","https://openalex.org/W4232791813"],"related_works":["https://openalex.org/W1507331339","https://openalex.org/W2798182210","https://openalex.org/W2378841998","https://openalex.org/W3198379729","https://openalex.org/W3161004089","https://openalex.org/W4301163777","https://openalex.org/W2950634701","https://openalex.org/W2259164277","https://openalex.org/W4292692589","https://openalex.org/W3214732920"],"abstract_inverted_index":{"The":[0],"dynamic":[1],"behaviors":[2],"for":[3,56],"fractional-order":[4],"Cohen\u2013Grossberg":[5],"neural":[6],"networks":[7],"with":[8],"time-varying":[9],"delays":[10],"(FCGNND)":[11],"are":[12],"studied":[13],"in":[14],"this":[15],"paper.":[16],"By":[17],"introducing":[18],"the":[19,29,43,66,69],"Mittag-Leffler":[20,46],"(ML)":[21],"function,":[22],"based":[23],"on":[24],"properties":[25],"of":[26,68],"fractional":[27],"calculus,":[28],"differential":[30],"mean-value":[31],"theorem":[32],"and":[33,49],"Arzela\u2013Ascoli":[34],"theorem,":[35],"we":[36],"give":[37],"some":[38],"sufficient":[39],"theorems":[40],"to":[41,64],"determine":[42],"boundedness,":[44],"global":[45,50],"stability":[47],"(GMLS)":[48],"asymptotical":[51],"[Formula:":[52],"see":[53],"text]-periodicity":[54],"(GAP)":[55],"FCGNND.":[57],"Finally,":[58],"a":[59],"numerical":[60],"example":[61],"is":[62],"given":[63],"verify":[65],"effectiveness":[67],"theorems.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}