{"id":"https://openalex.org/W7135085011","doi":"https://doi.org/10.3390/axioms15030209","title":"Fixed/Predefined-Time Synchronization for Delayed Memristive Reaction-Diffusion Neural Networks Subject to Stochastic Disturbances","display_name":"Fixed/Predefined-Time Synchronization for Delayed Memristive Reaction-Diffusion Neural Networks Subject to Stochastic Disturbances","publication_year":2026,"publication_date":"2026-03-12","ids":{"openalex":"https://openalex.org/W7135085011","doi":"https://doi.org/10.3390/axioms15030209"},"language":"en","primary_location":{"id":"doi:10.3390/axioms15030209","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15030209","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms15030209","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128920896","display_name":"Gang Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Wang","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003954409","display_name":"Ikram Mamtimin","orcid":null},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ikram Mamtimin","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5128847351","display_name":"Abdujelil Abdurahman","orcid":null},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Abdujelil Abdurahman","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China"],"raw_orcid":"https://orcid.org/0000-0003-2248-4678","affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003954409"],"corresponding_institution_ids":["https://openalex.org/I96908189"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":12.6106,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.97737396,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"15","issue":"3","first_page":"209","last_page":"209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9900000095367432,"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":0.9900000095367432,"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":0.0027000000700354576,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.0007999999797903001,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.7888000011444092},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6274999976158142},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6051999926567078},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5852000117301941},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5203999876976013},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.5174000263214111},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48809999227523804}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7888000011444092},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6274999976158142},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6051999926567078},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5928999781608582},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5852000117301941},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5203999876976013},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.5174000263214111},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48809999227523804},{"id":"https://openalex.org/C14781684","wikidata":"https://www.wikidata.org/wiki/Q3983320","display_name":"Settling time","level":3,"score":0.45100000500679016},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.38769999146461487},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.37119999527931213},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.3391999900341034},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3239000141620636},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3091999888420105},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.302700012922287},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.2517000138759613}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms15030209","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15030209","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0c1d00001e1f4e83ac222250e4d0c8c8","is_oa":true,"landing_page_url":"https://doaj.org/article/0c1d00001e1f4e83ac222250e4d0c8c8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 15, Iss 3, p 209 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms15030209","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15030209","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1688734318","display_name":null,"funder_award_id":"62266042","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W2000149165","https://openalex.org/W2015113370","https://openalex.org/W2085465150","https://openalex.org/W2086635487","https://openalex.org/W2109952733","https://openalex.org/W2112181056","https://openalex.org/W2148075745","https://openalex.org/W2162651880","https://openalex.org/W2244754571","https://openalex.org/W2259261597","https://openalex.org/W2407840779","https://openalex.org/W2790851661","https://openalex.org/W2944949096","https://openalex.org/W2954808819","https://openalex.org/W2989398142","https://openalex.org/W2999670583","https://openalex.org/W3010848656","https://openalex.org/W3015687126","https://openalex.org/W3090153809","https://openalex.org/W3202294846","https://openalex.org/W3215267127","https://openalex.org/W4303520655","https://openalex.org/W4306783758","https://openalex.org/W4307030363","https://openalex.org/W4312553839","https://openalex.org/W4380763540","https://openalex.org/W4385347554","https://openalex.org/W4388451966","https://openalex.org/W4394817316","https://openalex.org/W4400033759","https://openalex.org/W4400196476","https://openalex.org/W4400771035","https://openalex.org/W4405856308","https://openalex.org/W4410260224","https://openalex.org/W4411114649","https://openalex.org/W4411525384","https://openalex.org/W7113901538"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,42,94,97],"fixed-time":[4],"(FXT)":[5],"and":[6,21,50,66,77],"predefined-time":[7],"(PDT)":[8],"synchronization":[9,79,99],"of":[10,41,47,80,96],"memristive":[11],"neural":[12],"networks":[13],"(MNNs)":[14],"subject":[15],"to":[16,74,92],"stochastic":[17,33,67,82],"disturbances,":[18],"reaction-diffusion":[19,85],"terms,":[20],"time":[22,44],"delays.":[23],"First,":[24],"a":[25,38,52],"new":[26],"PDT":[27,78],"stability":[28],"criterion":[29],"is":[30],"established":[31],"for":[32],"nonlinear":[34],"systems,":[35],"which":[36],"permits":[37],"priori":[39],"assignment":[40],"settling":[43],"bound":[45],"regardless":[46],"initial":[48],"conditions,":[49],"offers":[51],"more":[53],"concise":[54],"form":[55],"than":[56],"prior":[57],"results.":[58],"Second,":[59],"by":[60],"leveraging":[61],"Green\u2019s":[62],"formula,":[63],"integral":[64],"inequality,":[65],"analysis,":[68],"some":[69],"sufficient":[70],"conditions":[71],"are":[72,90],"derived":[73],"guarantee":[75],"FXT":[76],"introduced":[81],"MNNs":[83],"with":[84],"terms.":[86],"Finally,":[87],"numerical":[88],"simulations":[89],"given":[91],"validate":[93],"effectiveness":[95],"proposed":[98],"scheme.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2026-03-13T00:00:00"}