{"id":"https://openalex.org/W2579264739","doi":"https://doi.org/10.3103/s0146411616070063","title":"Nonclassical relaxation oscillations in neurodynamics","display_name":"Nonclassical relaxation oscillations in neurodynamics","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2579264739","doi":"https://doi.org/10.3103/s0146411616070063","mag":"2579264739"},"language":"en","primary_location":{"id":"doi:10.3103/s0146411616070063","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411616070063","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","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/A5058060054","display_name":"\u0421. \u0414. \u0413\u043b\u044b\u0437\u0438\u043d","orcid":"https://orcid.org/0000-0002-6403-4061"},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. D. Glyzin","raw_affiliation_strings":["Demidov Yaroslavl State University, Yaroslavl, 150000, Russia","Demidov Yaroslavl State University, Yaroslavl, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl, 150000, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025918089","display_name":"A. Yu. Kolesov","orcid":null},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. Yu. Kolesov","raw_affiliation_strings":["Demidov Yaroslavl State University, Yaroslavl, 150000, Russia","Demidov Yaroslavl State University, Yaroslavl, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl, 150000, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009509912","display_name":"\u041d. \u0425. \u0420\u043e\u0437\u043e\u0432","orcid":"https://orcid.org/0000-0002-9330-549X"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"N. Kh. Rozov","raw_affiliation_strings":["Lomonosov Moscow State University, Moscow, 119991, Russia","Lomonosov Moscow State University, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Moscow, 119991, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058060054"],"corresponding_institution_ids":["https://openalex.org/I198371094"],"apc_list":null,"apc_paid":null,"fwci":0.1915,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58346377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"50","issue":"7","first_page":"571","last_page":"585"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998999834060669,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9991999864578247,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7552262544631958},{"id":"https://openalex.org/keywords/relaxation-oscillator","display_name":"Relaxation oscillator","score":0.690241277217865},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6532182693481445},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.6231831312179565},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6056919693946838},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5566335320472717},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5399179458618164},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48979902267456055},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4601382315158844},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.42049920558929443},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3785068988800049},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3779708445072174},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3746081590652466},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36147791147232056},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35309529304504395},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34356820583343506},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1385093331336975},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.13064846396446228},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0878724455833435}],"concepts":[{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7552262544631958},{"id":"https://openalex.org/C135854075","wikidata":"https://www.wikidata.org/wiki/Q1421688","display_name":"Relaxation oscillator","level":4,"score":0.690241277217865},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6532182693481445},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.6231831312179565},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6056919693946838},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5566335320472717},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5399179458618164},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48979902267456055},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4601382315158844},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.42049920558929443},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3785068988800049},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3779708445072174},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3746081590652466},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36147791147232056},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35309529304504395},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34356820583343506},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1385093331336975},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.13064846396446228},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0878724455833435},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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/C5291336","wikidata":"https://www.wikidata.org/wiki/Q852341","display_name":"Voltage-controlled oscillator","level":3,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3103/s0146411616070063","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411616070063","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1565264866","https://openalex.org/W1964474398","https://openalex.org/W1985940938","https://openalex.org/W2009375605","https://openalex.org/W2032559774","https://openalex.org/W2053476841","https://openalex.org/W2061191702","https://openalex.org/W2161876804","https://openalex.org/W4238082014"],"related_works":["https://openalex.org/W2197986701","https://openalex.org/W3012011718","https://openalex.org/W2549392159","https://openalex.org/W1555476593","https://openalex.org/W2523868981","https://openalex.org/W2908712994","https://openalex.org/W3035290141","https://openalex.org/W2765575629","https://openalex.org/W2068019033","https://openalex.org/W2579264739"],"abstract_inverted_index":{"A":[0,67],"modification":[1],"of":[2,19,35,49,70,79,84,102],"the":[3,50,60,97,100],"well-known":[4],"FitzHugh\u2013Nagumo":[5],"model":[6,13],"from":[7],"neuroscience":[8],"has":[9,74,90],"been":[10,44,75,91],"proposed.":[11],"This":[12],"is":[14,52,63],"a":[15,24,28,36,56,64],"singularly":[16],"perturbed":[17],"system":[18,42],"ordinary":[20],"differential":[21],"equations":[22],"with":[23],"fast":[25,61],"variable":[26],"and":[27,33],"slow":[29,47],"variable.":[30],"The":[31,46,77],"existence":[32,78],"stability":[34],"nonclassical":[37],"relaxation":[38],"cycle":[39,51],"in":[40,99],"this":[41,88],"have":[43],"studied.":[45],"component":[48,62],"asymptotically":[53],"close":[54],"to":[55,95],"discontinuous":[57],"function,":[58],"while":[59],"\u03b4-like":[65],"function.":[66],"one-dimensional":[68],"circle":[69],"unidirectionally":[71],"coupled":[72],"neurons":[73],"considered.":[76],"an":[80],"arbitrarily":[81],"large":[82],"number":[83,101],"traveling":[85,104],"waves":[86],"for":[87],"chain":[89],"shown.":[92],"In":[93],"order":[94],"illustrate":[96],"increase":[98],"stable":[103],"waves,":[105],"numerical":[106],"methods":[107],"were":[108],"involved.":[109]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
