{"id":"https://openalex.org/W4386996443","doi":"https://doi.org/10.3390/sym15101812","title":"Symmetrical Impulsive Inertial Neural Networks with Unpredictable and Poisson-Stable Oscillations","display_name":"Symmetrical Impulsive Inertial Neural Networks with Unpredictable and Poisson-Stable Oscillations","publication_year":2023,"publication_date":"2023-09-22","ids":{"openalex":"https://openalex.org/W4386996443","doi":"https://doi.org/10.3390/sym15101812"},"language":"en","primary_location":{"id":"doi:10.3390/sym15101812","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15101812","pdf_url":"https://www.mdpi.com/2073-8994/15/10/1812/pdf?version=1695394379","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/10/1812/pdf?version=1695394379","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004206574","display_name":"Marat Akhmet","orcid":"https://orcid.org/0000-0002-2985-286X"},"institutions":[{"id":"https://openalex.org/I201799495","display_name":"Middle East Technical University","ror":"https://ror.org/014weej12","country_code":"TR","type":"education","lineage":["https://openalex.org/I201799495"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Marat Akhmet","raw_affiliation_strings":["Department of Mathematics, Middle East Technical University, Ankara 06800, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-2985-286X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Middle East Technical University, Ankara 06800, Turkey","institution_ids":["https://openalex.org/I201799495"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000666010","display_name":"Madina Tleubergenova","orcid":"https://orcid.org/0000-0002-5572-2305"},"institutions":[{"id":"https://openalex.org/I4210106095","display_name":"Aktobe Regional State University named after K.Zhubanov","ror":"https://ror.org/01mgaqp12","country_code":"KZ","type":"education","lineage":["https://openalex.org/I4210106095"]},{"id":"https://openalex.org/I4210135055","display_name":"Institute of Information and Computational Technologies","ror":"https://ror.org/03v6e0k54","country_code":"KZ","type":"facility","lineage":["https://openalex.org/I4210135055"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Madina Tleubergenova","raw_affiliation_strings":["Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan","Institute of Information and Computational Technologies CS MES RK, Almaty 050000, Kazakhstan"],"raw_orcid":"https://orcid.org/0000-0002-5572-2305","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan","institution_ids":["https://openalex.org/I4210106095"]},{"raw_affiliation_string":"Institute of Information and Computational Technologies CS MES RK, Almaty 050000, Kazakhstan","institution_ids":["https://openalex.org/I4210135055"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080590717","display_name":"Roza Seilova","orcid":"https://orcid.org/0000-0002-4666-8001"},"institutions":[{"id":"https://openalex.org/I4210106095","display_name":"Aktobe Regional State University named after K.Zhubanov","ror":"https://ror.org/01mgaqp12","country_code":"KZ","type":"education","lineage":["https://openalex.org/I4210106095"]},{"id":"https://openalex.org/I4210135055","display_name":"Institute of Information and Computational Technologies","ror":"https://ror.org/03v6e0k54","country_code":"KZ","type":"facility","lineage":["https://openalex.org/I4210135055"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Roza Seilova","raw_affiliation_strings":["Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan","Institute of Information and Computational Technologies CS MES RK, Almaty 050000, Kazakhstan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan","institution_ids":["https://openalex.org/I4210106095"]},{"raw_affiliation_string":"Institute of Information and Computational Technologies CS MES RK, Almaty 050000, Kazakhstan","institution_ids":["https://openalex.org/I4210135055"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054586609","display_name":"Zakhira Nugayeva","orcid":"https://orcid.org/0000-0003-3206-3877"},"institutions":[{"id":"https://openalex.org/I4210106095","display_name":"Aktobe Regional State University named after K.Zhubanov","ror":"https://ror.org/01mgaqp12","country_code":"KZ","type":"education","lineage":["https://openalex.org/I4210106095"]},{"id":"https://openalex.org/I4210135055","display_name":"Institute of Information and Computational Technologies","ror":"https://ror.org/03v6e0k54","country_code":"KZ","type":"facility","lineage":["https://openalex.org/I4210135055"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Zakhira Nugayeva","raw_affiliation_strings":["Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan","Institute of Information and Computational Technologies CS MES RK, Almaty 050000, Kazakhstan"],"raw_orcid":"https://orcid.org/0000-0003-3206-3877","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan","institution_ids":["https://openalex.org/I4210106095"]},{"raw_affiliation_string":"Institute of Information and Computational Technologies CS MES RK, Almaty 050000, Kazakhstan","institution_ids":["https://openalex.org/I4210135055"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004206574"],"corresponding_institution_ids":["https://openalex.org/I201799495"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.6107,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86927132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"15","issue":"10","first_page":"1812","last_page":"1812"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9973000288009644,"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/T10244","display_name":"Chaos control and synchronization","score":0.9958000183105469,"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/computer-science","display_name":"Computer science","score":0.6319718956947327},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6227750182151794},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5923534631729126},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5684731006622314},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5676901340484619},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.5633150935173035},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.5265148878097534},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.52191162109375},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5042556524276733},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4707123637199402},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20806199312210083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2016485631465912},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18509525060653687},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.09661287069320679}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6319718956947327},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6227750182151794},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5923534631729126},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5684731006622314},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5676901340484619},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.5633150935173035},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.5265148878097534},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.52191162109375},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5042556524276733},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4707123637199402},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20806199312210083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2016485631465912},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18509525060653687},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.09661287069320679},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15101812","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15101812","pdf_url":"https://www.mdpi.com/2073-8994/15/10/1812/pdf?version=1695394379","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:https://open.metu.edu.tr:11511/106303","is_oa":true,"landing_page_url":"https://hdl.handle.net/11511/106303","pdf_url":"https://open.metu.edu.tr/bitstream/handle/11511/106303/index.pdf","source":{"id":"https://openalex.org/S4306402495","display_name":"OpenMETU (Middle East Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201799495","host_organization_name":"Middle East Technical University","host_organization_lineage":["https://openalex.org/I201799495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:doaj.org/article:ab8655a9deb84e6fbe187c36f7056da4","is_oa":false,"landing_page_url":"https://doaj.org/article/ab8655a9deb84e6fbe187c36f7056da4","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 10, p 1812 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym15101812","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15101812","pdf_url":"https://www.mdpi.com/2073-8994/15/10/1812/pdf?version=1695394379","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2501013581","display_name":null,"funder_award_id":"120C138","funder_id":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu"},{"id":"https://openalex.org/G2973176278","display_name":null,"funder_award_id":"AP14870835","funder_id":"https://openalex.org/F4320322726","funder_display_name":"Ministry of Education and Science of the Republic of Kazakhstan"},{"id":"https://openalex.org/G44630794","display_name":null,"funder_award_id":"2247-A","funder_id":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu"}],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"},{"id":"https://openalex.org/F4320322726","display_name":"Ministry of Education and Science of the Republic of Kazakhstan","ror":"https://ror.org/03pj6ge82"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386996443.pdf","grobid_xml":"https://content.openalex.org/works/W4386996443.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W576501206","https://openalex.org/W1968134101","https://openalex.org/W2028027246","https://openalex.org/W2052456444","https://openalex.org/W2095838924","https://openalex.org/W2266403516","https://openalex.org/W2606570067","https://openalex.org/W2611744031","https://openalex.org/W2787331612","https://openalex.org/W2788388592","https://openalex.org/W2891753928","https://openalex.org/W2954661396","https://openalex.org/W3092845009","https://openalex.org/W3135265005","https://openalex.org/W3193030963","https://openalex.org/W4200137333","https://openalex.org/W4205233084","https://openalex.org/W4213173710","https://openalex.org/W4282042719","https://openalex.org/W4287448255","https://openalex.org/W4292267086","https://openalex.org/W4292880809","https://openalex.org/W4293252900","https://openalex.org/W4295065816","https://openalex.org/W4295781833","https://openalex.org/W4296050194","https://openalex.org/W4385566703","https://openalex.org/W4385743659","https://openalex.org/W6737662980","https://openalex.org/W6805500116"],"related_works":["https://openalex.org/W2045049461","https://openalex.org/W1978893398","https://openalex.org/W2201908702","https://openalex.org/W4381094582","https://openalex.org/W2369625323","https://openalex.org/W2364579609","https://openalex.org/W1977906818","https://openalex.org/W1522139108","https://openalex.org/W2353528968","https://openalex.org/W2032776242"],"abstract_inverted_index":{"This":[0,44],"paper":[1,79],"explores":[2],"the":[3,30,33,50,81,100,103,116,137,141],"novel":[4],"concept":[5],"of":[6,32,53,83,96,102,118,140],"discontinuous":[7,89,124],"unpredictable":[8],"and":[9,39,60,126],"Poisson-stable":[10],"motions":[11],"within":[12],"impulsive":[13],"inertial":[14],"neural":[15,24],"networks.":[16],"The":[17,78,128],"primary":[18],"focus":[19,101],"is":[20,105,121],"on":[21],"a":[22,92,106],"specific":[23],"network":[25],"architecture":[26],"where":[27,55],"impulses":[28],"mimic":[29],"structure":[31],"original":[34],"model,":[35,107],"that":[36],"is,":[37],"continuous":[38,61],"discrete":[40],"parts":[41],"are":[42,131],"symmetrical.":[43],"unique":[45],"modeling":[46],"decision":[47],"aligns":[48],"with":[49,133],"real-world":[51,97],"behavior":[52],"systems,":[54],"voltage":[56,86],"typically":[57],"remains":[58],"smooth":[59],"but":[62],"may":[63],"exhibit":[64],"sudden":[65,74],"changes":[66],"due":[67],"to":[68],"various":[69],"factors":[70],"such":[71],"as":[72,88],"switches,":[73],"loads,":[75],"or":[76],"faults.":[77],"introduces":[80],"representation":[82],"these":[84],"abrupt":[85],"transitions":[87],"derivatives,":[90],"providing":[91],"more":[93],"accurate":[94],"depiction":[95],"scenarios.":[98],"Thus,":[99],"research":[104],"exceptional":[108],"in":[109],"its":[110],"generality.":[111],"To":[112],"study":[113],"Poisson":[114],"stability,":[115],"method":[117],"included":[119],"intervals":[120],"extended":[122],"for":[123],"functions":[125],"B-topology.":[127],"theoretical":[129],"findings":[130],"substantiated":[132],"numerical":[134],"examples,":[135],"demonstrating":[136],"practical":[138],"feasibility":[139],"proposed":[142],"model.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-28T08:01:55.173337","created_date":"2025-10-10T00:00:00"}
