{"id":"https://openalex.org/W4403490441","doi":"https://doi.org/10.3934/nhm.2024051","title":"Projective synchronization for quaternion-valued memristor-based neural networks under time-varying delays","display_name":"Projective synchronization for quaternion-valued memristor-based neural networks under time-varying delays","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403490441","doi":"https://doi.org/10.3934/nhm.2024051"},"language":"en","primary_location":{"id":"doi:10.3934/nhm.2024051","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2024051","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/nhm.2024051","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100582920","display_name":"Jun Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210117337","display_name":"Neijiang Normal University","ror":"https://ror.org/02bc8tz70","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117337"]},{"id":"https://openalex.org/I24201400","display_name":"Chengdu University of Information Technology","ror":"https://ror.org/01yxwrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I24201400"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Guo","raw_affiliation_strings":["Key Laboratory of Numerical Simulation of Sichuan Provincial Universities, School of Mathematics and Information Sciences, Neijiang Normal University, Neijiang 641000, China","College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Numerical Simulation of Sichuan Provincial Universities, School of Mathematics and Information Sciences, Neijiang Normal University, Neijiang 641000, China","institution_ids":["https://openalex.org/I4210117337"]},{"raw_affiliation_string":"College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China","institution_ids":["https://openalex.org/I24201400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074261900","display_name":"Yanchao Shi","orcid":"https://orcid.org/0000-0003-1926-6653"},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanchao Shi","raw_affiliation_strings":["School of Science, Southwest Petroleum University, Chengdu 610500, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Southwest Petroleum University, Chengdu 610500, China","institution_ids":["https://openalex.org/I165745306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014294451","display_name":"Yanzhao Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanzhao Cheng","raw_affiliation_strings":["School of Science, Southwest Petroleum University, Chengdu 610500, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Southwest Petroleum University, Chengdu 610500, China","institution_ids":["https://openalex.org/I165745306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007632375","display_name":"Wei\u2010Hua Luo","orcid":"https://orcid.org/0000-0003-1343-6973"},"institutions":[{"id":"https://openalex.org/I4210117337","display_name":"Neijiang Normal University","ror":"https://ror.org/02bc8tz70","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117337"]},{"id":"https://openalex.org/I165745306","display_name":"Southwest Petroleum University","ror":"https://ror.org/03h17x602","country_code":"CN","type":"education","lineage":["https://openalex.org/I165745306"]},{"id":"https://openalex.org/I196038209","display_name":"Hunan University of Arts and Science","ror":"https://ror.org/01ggnn306","country_code":"CN","type":"education","lineage":["https://openalex.org/I196038209"]},{"id":"https://openalex.org/I24201400","display_name":"Chengdu University of Information Technology","ror":"https://ror.org/01yxwrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I24201400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihua Luo","raw_affiliation_strings":["College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China","Key Laboratory of Numerical Simulation of Sichuan Provincial Universities, School of Mathematics and Information Sciences, Neijiang Normal University, Neijiang 641000, China","School of Mathematics and Physics, Hunan University of Arts and Science, Changde 415000, China","School of Science, Southwest Petroleum University, Chengdu 610500, China"],"affiliations":[{"raw_affiliation_string":"College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China","institution_ids":["https://openalex.org/I24201400"]},{"raw_affiliation_string":"Key Laboratory of Numerical Simulation of Sichuan Provincial Universities, School of Mathematics and Information Sciences, Neijiang Normal University, Neijiang 641000, China","institution_ids":["https://openalex.org/I4210117337"]},{"raw_affiliation_string":"School of Mathematics and Physics, Hunan University of Arts and Science, Changde 415000, China","institution_ids":["https://openalex.org/I196038209"]},{"raw_affiliation_string":"School of Science, Southwest Petroleum University, Chengdu 610500, China","institution_ids":["https://openalex.org/I165745306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100582920"],"corresponding_institution_ids":["https://openalex.org/I24201400","https://openalex.org/I4210117337"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16129257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"3","first_page":"1156","last_page":"1181"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9995999932289124,"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":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.8053493499755859},{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.6968340277671814},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.5730317234992981},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5053958892822266},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4708257019519806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45639747381210327},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.4464706778526306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4237879812717438},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3633858561515808},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3212686777114868},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2761949300765991},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16415813565254211},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1421024203300476},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13975507020950317},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11939820647239685},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09216338396072388}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.8053493499755859},{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.6968340277671814},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.5730317234992981},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5053958892822266},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4708257019519806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45639747381210327},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.4464706778526306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4237879812717438},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3633858561515808},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3212686777114868},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2761949300765991},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16415813565254211},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1421024203300476},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13975507020950317},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11939820647239685},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09216338396072388},{"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:10.3934/nhm.2024051","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2024051","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4d74183f018c4af6a7c8bed7e662e587","is_oa":true,"landing_page_url":"https://doaj.org/article/4d74183f018c4af6a7c8bed7e662e587","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Networks and Heterogeneous Media, Vol 19, Iss 3, Pp 1156-1181 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/nhm.2024051","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2024051","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1149035429","https://openalex.org/W1678854553","https://openalex.org/W2057773692","https://openalex.org/W2162651880","https://openalex.org/W2322322931","https://openalex.org/W2793958965","https://openalex.org/W2909969574","https://openalex.org/W2944286581","https://openalex.org/W2958719130","https://openalex.org/W2965803282","https://openalex.org/W2966115803","https://openalex.org/W2966842599","https://openalex.org/W3000081774","https://openalex.org/W3000395739","https://openalex.org/W3006230032","https://openalex.org/W3008677805","https://openalex.org/W3014911997","https://openalex.org/W3016196954","https://openalex.org/W3029234080","https://openalex.org/W3032786328","https://openalex.org/W3081315956","https://openalex.org/W3083792873","https://openalex.org/W3089799272","https://openalex.org/W3098972513","https://openalex.org/W3121304094","https://openalex.org/W3131307179","https://openalex.org/W3151832974","https://openalex.org/W3170809783","https://openalex.org/W3194392818","https://openalex.org/W3197418898","https://openalex.org/W3201920008","https://openalex.org/W4206652572","https://openalex.org/W4296887232","https://openalex.org/W4311117578","https://openalex.org/W4321442098","https://openalex.org/W4360869567","https://openalex.org/W4384930528","https://openalex.org/W4387546286","https://openalex.org/W4390948775","https://openalex.org/W4402461870"],"related_works":["https://openalex.org/W4229452466","https://openalex.org/W2966276069","https://openalex.org/W2304829496","https://openalex.org/W2358307108","https://openalex.org/W3031124155","https://openalex.org/W2463286374","https://openalex.org/W2052332160","https://openalex.org/W2204001882","https://openalex.org/W190448578","https://openalex.org/W2377121108"],"abstract_inverted_index":{"In":[0],"this":[1,67],"paper,":[2],"the":[3,27,64],"projective":[4],"synchronization":[5,51,55],"of":[6,56,66],"quaternion-valued":[7,57],"memristor-based":[8,58],"neural":[9,59],"networks":[10,28,60],"with":[11,33],"time-varing":[12],"delays":[13],"was":[14,69],"studied.":[15],"First,":[16],"by":[17],"utilizing":[18,43],"set-valued":[19],"map":[20],"and":[21,42,46],"differential":[22],"inclusion":[23],"theories,":[24],"we":[25],"reformulated":[26],"as":[29],"an":[30],"uncertain":[31],"system":[32],"interval":[34],"parameters.":[35],"Then,":[36],"through":[37,71],"designing":[38],"a":[39,72],"novel":[40],"controller":[41],"Lyapunov":[44],"function":[45],"Young's":[47],"inequality,":[48],"several":[49],"new":[50],"conditions":[52],"for":[53],"projection":[54],"were":[61],"obtained.":[62],"Finally,":[63],"effectiveness":[65],"method":[68],"demonstrated":[70],"numerical":[73],"example,":[74],"underscoring":[75],"its":[76],"practical":[77],"applicability.":[78]},"counts_by_year":[],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}
