{"id":"https://openalex.org/W2561714902","doi":"https://doi.org/10.18255/1818-1015-2016-6-841-849","title":"Dynamics of a System of Two Simplest Oscillators with Finite Non-linear Feedbacks","display_name":"Dynamics of a System of Two Simplest Oscillators with Finite Non-linear Feedbacks","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2561714902","doi":"https://doi.org/10.18255/1818-1015-2016-6-841-849","mag":"2561714902"},"language":"en","primary_location":{"id":"doi:10.18255/1818-1015-2016-6-841-849","doi":"https://doi.org/10.18255/1818-1015-2016-6-841-849","is_oa":true,"landing_page_url":"https://doi.org/10.18255/1818-1015-2016-6-841-849","pdf_url":"https://www.mais-journal.ru/jour/article/download/418/377","source":{"id":"https://openalex.org/S2739003635","display_name":"Modeling and Analysis of Information Systems","issn_l":"1818-1015","issn":["1818-1015","2313-5417"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312652","host_organization_name":"Yaroslavl State University","host_organization_lineage":["https://openalex.org/P4310312652"],"host_organization_lineage_names":["Yaroslavl State University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modeling and Analysis of Information Systems","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.mais-journal.ru/jour/article/download/418/377","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027380511","display_name":"Aleksandra Andreevna Kashchenko","orcid":"https://orcid.org/0000-0003-3823-9351","observed_orcids":["https://orcid.org/0000-0003-3823-9351"]},"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":"A. A. Kashchenko","raw_affiliation_strings":["\u0443\u043b. \u0421\u043e\u0432\u0435\u0442\u0441\u043a\u0430\u044f , 14 , \u0433. \u042f\u0440\u043e\u0441\u043b\u0430\u0432\u043b\u044c , 150003","\u042f\u0440\u043e\u0441\u043b\u0430\u0432\u0441\u043a\u0438\u0439 \u0433\u043e\u0441\u0443\u0434\u0430\u0440\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0438\u043c. \u041f.\u0413. \u0414\u0435\u043c\u0438\u0434\u043e\u0432\u0430"],"raw_orcid":"https://orcid.org/0000-0003-3823-9351","affiliations":[{"raw_affiliation_string":"\u0443\u043b. \u0421\u043e\u0432\u0435\u0442\u0441\u043a\u0430\u044f , 14 , \u0433. \u042f\u0440\u043e\u0441\u043b\u0430\u0432\u043b\u044c , 150003","institution_ids":[]},{"raw_affiliation_string":"\u042f\u0440\u043e\u0441\u043b\u0430\u0432\u0441\u043a\u0438\u0439 \u0433\u043e\u0441\u0443\u0434\u0430\u0440\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0438\u043c. \u041f.\u0413. \u0414\u0435\u043c\u0438\u0434\u043e\u0432\u0430","institution_ids":["https://openalex.org/I198371094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027380511"],"corresponding_institution_ids":["https://openalex.org/I198371094"],"apc_list":null,"apc_paid":null,"fwci":0.8378,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66109028,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"23","issue":"6","first_page":"841","last_page":"849"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.510699987411499,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.510699987411499,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.2061000019311905,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.16760000586509705,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coupled-oscillators","display_name":"coupled oscillators","score":0.9729999899864197},{"id":"https://openalex.org/keywords/nonlinear-feedback","display_name":"nonlinear feedback","score":0.8949999809265137},{"id":"https://openalex.org/keywords/delay-differential-equations","display_name":"delay differential equations","score":0.7839999794960022},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"singular perturbation","score":0.8759999871253967},{"id":"https://openalex.org/keywords/stability-of-periodic-solutions","display_name":"stability of periodic solutions","score":0.8149999976158142},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"asymptotic expansion","score":0.6600000262260437},{"id":"https://openalex.org/keywords/coupling-coefficient","display_name":"coupling coefficient","score":0.75}],"concepts":[{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6695767045021057},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6280761957168579},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6246658563613892},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6190847158432007},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5728023648262024},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5316463112831116},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5144351124763489},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5120037198066711},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5018196105957031},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.49046966433525085},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48814353346824646},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.48006781935691833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42818740010261536},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3943936824798584},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19686147570610046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15059593319892883},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.18255/1818-1015-2016-6-841-849","doi":"https://doi.org/10.18255/1818-1015-2016-6-841-849","is_oa":true,"landing_page_url":"https://doi.org/10.18255/1818-1015-2016-6-841-849","pdf_url":"https://www.mais-journal.ru/jour/article/download/418/377","source":{"id":"https://openalex.org/S2739003635","display_name":"Modeling and Analysis of Information Systems","issn_l":"1818-1015","issn":["1818-1015","2313-5417"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312652","host_organization_name":"Yaroslavl State University","host_organization_lineage":["https://openalex.org/P4310312652"],"host_organization_lineage_names":["Yaroslavl State University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modeling and Analysis of Information Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c4cdc432ffcc43a9bcff29fbb137ea13","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/c4cdc432ffcc43a9bcff29fbb137ea13","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,"listed_in":[],"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":"\u041c\u043e\u0434\u0435\u043b\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0438 \u0430\u043d\u0430\u043b\u0438\u0437 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0445 \u0441\u0438\u0441\u0442\u0435\u043c, Vol 23, Iss 6, Pp 841-849 (2016)","raw_type":"article"},{"id":"pmh:oai:oai.mais.elpub.ru:article/418","doi":null,"is_oa":true,"landing_page_url":"http://mais-journal.ru/jour/article/view/418","pdf_url":null,"source":{"id":"https://openalex.org/S2739003635","display_name":"Modeling and Analysis of Information Systems","issn_l":"1818-1015","issn":["1818-1015","2313-5417"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312652","host_organization_name":"Yaroslavl State University","host_organization_lineage":["https://openalex.org/P4310312652"],"host_organization_lineage_names":["Yaroslavl State University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Modeling and Analysis of Information Systems; \u0422\u043e\u043c 23, \u2116 6 (2016); 841-849","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.18255/1818-1015-2016-6-841-849","doi":"https://doi.org/10.18255/1818-1015-2016-6-841-849","is_oa":true,"landing_page_url":"https://doi.org/10.18255/1818-1015-2016-6-841-849","pdf_url":"https://www.mais-journal.ru/jour/article/download/418/377","source":{"id":"https://openalex.org/S2739003635","display_name":"Modeling and Analysis of Information Systems","issn_l":"1818-1015","issn":["1818-1015","2313-5417"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312652","host_organization_name":"Yaroslavl State University","host_organization_lineage":["https://openalex.org/P4310312652"],"host_organization_lineage_names":["Yaroslavl State University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modeling and Analysis of Information Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1730152459","display_name":null,"funder_award_id":"2014/258","funder_id":"https://openalex.org/F4320321912","funder_display_name":"Ministry of Education and Science of the Russian Federation"}],"funders":[{"id":"https://openalex.org/F4320321912","display_name":"Ministry of Education and Science of the Russian Federation","ror":"https://ror.org/00ghqgy32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2561714902.pdf","grobid_xml":"https://content.openalex.org/works/W2561714902.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2396884546","https://openalex.org/W4232701107"],"related_works":["https://openalex.org/W2792927224","https://openalex.org/W2776247151","https://openalex.org/W3015840282","https://openalex.org/W3049559172","https://openalex.org/W2886000436","https://openalex.org/W2923900009","https://openalex.org/W2795765153","https://openalex.org/W4391135062","https://openalex.org/W7168352463","https://openalex.org/W2389301149"],"abstract_inverted_index":{"In":[0,37],"this":[1,38,80],"paper,":[2,39],"we":[3,40,65,82,112],"consider":[4],"a":[5,34,62,76,84,114,143],"singularly":[6],"perturbed":[7],"system":[8],"of":[9,44,57,61,68,75,94,109,124,153,159],"two":[10,17],"di\ufb00erential":[11],"equations":[12],"with":[13,20,33,71,106,128],"delay":[14],"which":[15,87],"simulates":[16],"coupled":[18],"oscillators":[19],"nonlinear":[21],"feedback.":[22],"Feedback":[23],"function":[24],"is":[25,99,123,140],"assumed":[26],"to":[27],"be":[28],"\ufb01nite,":[29],"piecewise":[30],"continuous,":[31],"and":[32,48,127,138],"constant":[35],"sign.":[36],"prove":[41],"the":[42,55,58,69,72,89,92,95,102,107,120,130,133,154,160,170],"existence":[43],"relaxation":[45,165],"periodic":[46,117,166],"solutions":[47,70],"make":[49],"conclusion":[50],"about":[51],"their":[52],"stability.":[53],"With":[54],"help":[56],"special":[59,85,144],"method":[60],"large":[63],"parameter":[64],"construct":[66],"asymptotics":[67,81],"initial":[73],"conditions":[74],"certain":[77,157],"class.":[78],"On":[79],"build":[83],"mapping,":[86],"in":[88,169],"main":[90],"describes":[91],"dynamics":[93,103,134],"original":[96,171],"model.":[97],"It":[98,146],"shown":[100,148],"that":[101,149],"changes":[104],"signi\ufb01cantly":[105],"decreasing":[108,129],"coupling":[110,121,131,155],"coe\ufb03cient:":[111],"have":[113],"stable":[115,164],"homogeneous":[116],"solution":[118],"if":[119],"coe\ufb03cient":[122,132],"unity":[125],"order,":[126],"become":[135],"more":[136],"complex,":[137],"it":[139],"described":[141],"by":[142],"mapping.":[145],"was":[147],"for":[150],"small":[151],"values":[152,158],"under":[156],"parameters":[161],"several":[162],"di\ufb00erent":[163],"regimes":[167],"coexist":[168],"problem.":[172]},"counts_by_year":[{"year":2017,"cited_by_count":3}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2017-01-06T00:00:00"}
