{"id":"https://openalex.org/W3209749429","doi":"https://doi.org/10.1109/ukrcon53503.2021.9575839","title":"The Development of Electrical and Radio engineering: the Role of M. Krylov and M. Bogolyubov's Nonlinear Mechanics","display_name":"The Development of Electrical and Radio engineering: the Role of M. Krylov and M. Bogolyubov's Nonlinear Mechanics","publication_year":2021,"publication_date":"2021-08-26","ids":{"openalex":"https://openalex.org/W3209749429","doi":"https://doi.org/10.1109/ukrcon53503.2021.9575839","mag":"3209749429"},"language":"en","primary_location":{"id":"doi:10.1109/ukrcon53503.2021.9575839","doi":"https://doi.org/10.1109/ukrcon53503.2021.9575839","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ukrcon53503.2021.9575839","pdf_url":null,"source":{"id":"https://openalex.org/S4306498481","display_name":"IEEE Ukraine Conference on Electrical and Computer Engineering (UKRCON)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering (UKRCON)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ela.kpi.ua/bitstreams/8535525e-9a4a-4cab-b89b-672b4f3d833f/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002611415","display_name":"Alla Lytvynko","orcid":"https://orcid.org/0000-0002-5321-2969","observed_orcids":["https://orcid.org/0000-0002-5321-2969"]},"institutions":[{"id":"https://openalex.org/I4405257160","display_name":"State Institution \u00abDobrov Institute for Scientific and Technological Potential and Science History Studies of the NAS of Ukraine\u00bb","ror":"https://ror.org/04ysmh328","country_code":"UA","type":"other","lineage":["https://openalex.org/I4405257160"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Alla Lytvynko","raw_affiliation_strings":["SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine","institution_ids":["https://openalex.org/I4405257160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038556551","display_name":"\u041e\u043b\u0435\u043d\u0430 \u0412\u043e\u0439\u0442\u044e\u043a","orcid":"https://orcid.org/0000-0002-7670-6849","observed_orcids":["https://orcid.org/0000-0002-7670-6849"]},"institutions":[{"id":"https://openalex.org/I4405257160","display_name":"State Institution \u00abDobrov Institute for Scientific and Technological Potential and Science History Studies of the NAS of Ukraine\u00bb","ror":"https://ror.org/04ysmh328","country_code":"UA","type":"other","lineage":["https://openalex.org/I4405257160"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Olena Voitiuk","raw_affiliation_strings":["SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine","institution_ids":["https://openalex.org/I4405257160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052176086","display_name":"\u0413. \u041b. \u0417\u0432\u043e\u043d\u043a\u043e\u0432\u0430","orcid":"https://orcid.org/0000-0003-4029-8721","observed_orcids":["https://orcid.org/0000-0003-4029-8721"]},"institutions":[{"id":"https://openalex.org/I4405257160","display_name":"State Institution \u00abDobrov Institute for Scientific and Technological Potential and Science History Studies of the NAS of Ukraine\u00bb","ror":"https://ror.org/04ysmh328","country_code":"UA","type":"other","lineage":["https://openalex.org/I4405257160"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Halyna Zvonkova","raw_affiliation_strings":["SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine","institution_ids":["https://openalex.org/I4405257160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019975481","display_name":"Mariia Stankova","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405257160","display_name":"State Institution \u00abDobrov Institute for Scientific and Technological Potential and Science History Studies of the NAS of Ukraine\u00bb","ror":"https://ror.org/04ysmh328","country_code":"UA","type":"other","lineage":["https://openalex.org/I4405257160"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Mariia Stankova","raw_affiliation_strings":["SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine","institution_ids":["https://openalex.org/I4405257160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029705600","display_name":"O.M. Korniyenko","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405257160","display_name":"State Institution \u00abDobrov Institute for Scientific and Technological Potential and Science History Studies of the NAS of Ukraine\u00bb","ror":"https://ror.org/04ysmh328","country_code":"UA","type":"other","lineage":["https://openalex.org/I4405257160"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Olexandr Korniienko","raw_affiliation_strings":["SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SI \u00abG.M Dobrov Institute for Scientific and Technological Potential and Science History Studies NAS of Ukraine\u00bb,Department of History and Sociology of Science and Technology,Kyiv,Ukraine","institution_ids":["https://openalex.org/I4405257160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002037309","display_name":"A. T. Zabuga","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I202483615","display_name":"National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d","ror":"https://ror.org/00syn5v21","country_code":"UA","type":"education","lineage":["https://openalex.org/I202483615"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Artem Zabuga","raw_affiliation_strings":["National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d,Department of General and Theoretical Physics,Kyiv,Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d,Department of General and Theoretical Physics,Kyiv,Ukraine","institution_ids":["https://openalex.org/I202483615"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"599","last_page":"603"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14475","display_name":"History of Science and Medicine","score":0.5435000061988831,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T14475","display_name":"History of Science and Medicine","score":0.5435000061988831,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13641","display_name":"Historical Studies and Socio-cultural Analysis","score":0.36329999566078186,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13495","display_name":"Biographical and Historical Analysis","score":0.04439999908208847,"subfield":{"id":"https://openalex.org/subfields/1202","display_name":"History"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-oscillations","display_name":"nonlinear oscillations","score":0.6800000071525574},{"id":"https://openalex.org/keywords/nonlinear-mechanics","display_name":"nonlinear mechanics","score":0.8320000171661377},{"id":"https://openalex.org/keywords/history-of-electrical-engineering","display_name":"history of electrical engineering","score":0.9399999976158142},{"id":"https://openalex.org/keywords/history-of-radio-engineering","display_name":"history of radio engineering","score":0.9760000109672546},{"id":"https://openalex.org/keywords/asymptotic-methods","display_name":"asymptotic methods","score":0.8090000152587891},{"id":"https://openalex.org/keywords/small-parameter","display_name":"small parameter","score":0.44600000977516174},{"id":"https://openalex.org/keywords/conservative-systems","display_name":"conservative systems","score":0.7129999995231628},{"id":"https://openalex.org/keywords/triode","display_name":"triode","score":0.6259999871253967},{"id":"https://openalex.org/keywords/mandelstam","display_name":"Mandelstam","score":0.9589999914169312},{"id":"https://openalex.org/keywords/kyiv-university","display_name":"Kyiv University","score":0.6700000166893005}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5708199143409729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37949898838996887},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35008370876312256},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.3300642967224121},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2966037094593048},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22128790616989136}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ukrcon53503.2021.9575839","doi":"https://doi.org/10.1109/ukrcon53503.2021.9575839","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ukrcon53503.2021.9575839","pdf_url":null,"source":{"id":"https://openalex.org/S4306498481","display_name":"IEEE Ukraine Conference on Electrical and Computer Engineering (UKRCON)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering (UKRCON)","raw_type":"proceedings-article"},{"id":"pmh:oai:ela.kpi.ua:123456789/45478","doi":null,"is_oa":true,"landing_page_url":"https://ela.kpi.ua/handle/123456789/45478","pdf_url":"https://ela.kpi.ua/bitstreams/8535525e-9a4a-4cab-b89b-672b4f3d833f/download","source":{"id":"https://openalex.org/S4306402197","display_name":"\u0415\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u043d\u0438\u0439 \u0430\u0440\u0445\u0456\u0432 \u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0445 \u0442\u0430 \u043e\u0441\u0432\u0456\u0442\u043d\u0456\u0445 \u043c\u0430\u0442\u0435\u0440\u0456\u0430\u043b\u0456\u0432 \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e (\u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I202483615","host_organization_name":"National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d","host_organization_lineage":["https://openalex.org/I202483615"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering (UKRCON)","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:ela.kpi.ua:123456789/45478","doi":null,"is_oa":true,"landing_page_url":"https://ela.kpi.ua/handle/123456789/45478","pdf_url":"https://ela.kpi.ua/bitstreams/8535525e-9a4a-4cab-b89b-672b4f3d833f/download","source":{"id":"https://openalex.org/S4306402197","display_name":"\u0415\u043b\u0435\u043a\u0442\u0440\u043e\u043d\u043d\u0438\u0439 \u0430\u0440\u0445\u0456\u0432 \u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0445 \u0442\u0430 \u043e\u0441\u0432\u0456\u0442\u043d\u0456\u0445 \u043c\u0430\u0442\u0435\u0440\u0456\u0430\u043b\u0456\u0432 \u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e (\u041a\u041f\u0406 \u0456\u043c. \u0406\u0433\u043e\u0440\u044f \u0421\u0456\u043a\u043e\u0440\u0441\u044c\u043a\u043e\u0433\u043e)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I202483615","host_organization_name":"National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d","host_organization_lineage":["https://openalex.org/I202483615"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering (UKRCON)","raw_type":"Article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3209749429.pdf","grobid_xml":"https://content.openalex.org/works/W3209749429.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2170206895","https://openalex.org/W3128981953"],"related_works":["https://openalex.org/W2606600715","https://openalex.org/W2370468561","https://openalex.org/W259724221","https://openalex.org/W2599503081","https://openalex.org/W7053528572","https://openalex.org/W3179477230","https://openalex.org/W7220578734","https://openalex.org/W2465679952","https://openalex.org/W2315089849","https://openalex.org/W4377983278"],"abstract_inverted_index":{"The":[0,43,193],"article":[1],"is":[2,41,106,143,211],"devoted":[3],"to":[4,48],"the":[5,8,28,34,49,64,118,158,173,182,196,200,206,209],"history":[6],"of":[7,10,13,36,51,63,70,120,175,184,190,195,199,208],"development":[9,174],"asymptotic":[11],"theory":[12,50],"nonlinear":[14,52],"oscillations":[15,53],"(nonlinear":[16],"mechanics),":[17],"created":[18],"by":[19,73,146],"M.":[20,23,93,94,97,98,109,112,152,168,201],"Krylov":[21,95,110],"and":[22,38,76,96,111,128,178,188],"Bogolyubov":[24,99,113,153,169],"in":[25,27,67,79,86,100,138,162],"Kyiv":[26,186],"early":[29],"1930s.":[30],"Its":[31],"significance":[32],"for":[33,117,134],"elaboration":[35],"electrical":[37],"radio":[39],"engineering":[40],"emphasized.":[42],"key":[44],"evolutionary":[45],"events":[46],"related":[47],"are":[54,58],"covered.":[55],"Among":[56],"them":[57],"Lee":[59],"de":[60],"Forrest's":[61],"invention":[62],"triode":[65],"lamp":[66],"1906,":[68],"activity":[69],"teams":[71],"led":[72],"G.":[74,77],"Barkhausen":[75],"M\u00f6ller":[78],"Germany":[80],"(1907\u20131921),":[81],"B.":[82],"Van":[83],"der":[84],"Pol":[85],"Holland":[87],"(1922\u20131929),":[88],"L.Mandelstam":[89],"(USSR)":[90],"(since":[91,103],"1925),":[92],"Kyiv,":[101],"Ukraine":[102],"1927).":[104],"It":[105,164],"shown":[107],"that":[108,167],"developed":[114],"mathematical":[115,177],"method":[116],"study":[119],"general":[121],"conservative":[122],"systems":[123],"with":[124],"a":[125],"small":[126],"parameter,":[127],"on":[129,205],"this":[130],"base":[131],"-":[132],"methods":[133],"considering":[135],"quasi-periodic":[136],"modes":[137],"an":[139,147],"electronic":[140],"generator,":[141],"which":[142],"periodically":[144],"affected":[145],"external":[148],"force.":[149],"In":[150],"1932":[151],"made":[154],"according":[155],"report":[156],"at":[157,181],"First":[159],"Electrotechnical":[160],"Congress":[161],"Paris.":[163],"was":[165],"highlighted":[166],"had":[170],"significantly":[171],"influenced":[172],"physical,":[176],"technical":[179],"sciences":[180],"Institute":[183,189],"Mathematics,":[185],"University":[187],"Theoretical":[191],"Physics.":[192],"reconstruction":[194],"intellectual":[197],"portrait":[198],"Bogolyubov,":[202],"carried":[203],"out":[204],"basis":[207],"interviews,":[210],"also":[212],"given.":[213]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2021-11-08T00:00:00"}