{"id":"https://openalex.org/W2025582484","doi":"https://doi.org/10.3103/s0146411614070037","title":"Influence of delayed feedback control on the stability of periodic orbits","display_name":"Influence of delayed feedback control on the stability of periodic orbits","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2025582484","doi":"https://doi.org/10.3103/s0146411614070037","mag":"2025582484"},"language":"en","primary_location":{"id":"doi:10.3103/s0146411614070037","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411614070037","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/A5018208564","display_name":"V. G. Bogaevskaya","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":true,"raw_author_name":"V. G. Bogaevskaya","raw_affiliation_strings":["Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia","Demidov Yaroslavl\u2019 State University"],"affiliations":[{"raw_affiliation_string":"Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Demidov Yaroslavl\u2019 State University","institution_ids":["https://openalex.org/I198371094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044329184","display_name":"\u0418. \u0421. \u041a\u0430\u0449\u0435\u043d\u043a\u043e","orcid":"https://orcid.org/0000-0003-4551-8308"},"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":"I. S. Kashchenko","raw_affiliation_strings":["Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia","Demidov Yaroslavl\u2019 State University"],"affiliations":[{"raw_affiliation_string":"Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Demidov Yaroslavl\u2019 State University","institution_ids":["https://openalex.org/I198371094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018208564"],"corresponding_institution_ids":["https://openalex.org/I198371094"],"apc_list":null,"apc_paid":null,"fwci":0.2345,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54985997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"48","issue":"7","first_page":"477","last_page":"486"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9977999925613403,"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":0.9976000189781189,"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/control-theory","display_name":"Control theory (sociology)","score":0.6491278409957886},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6224902868270874},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5632092952728271},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5529584288597107},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5345538854598999},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.5338771343231201},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.5055744647979736},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.47855764627456665},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4701319634914398},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4541962444782257},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.4281591475009918},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3583717346191406},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3430708646774292},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32372409105300903},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12467113137245178},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09184646606445312},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06287497282028198}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6491278409957886},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6224902868270874},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5632092952728271},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5529584288597107},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5345538854598999},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.5338771343231201},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.5055744647979736},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.47855764627456665},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4701319634914398},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4541962444782257},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.4281591475009918},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3583717346191406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3430708646774292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32372409105300903},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12467113137245178},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09184646606445312},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06287497282028198},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3103/s0146411614070037","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411614070037","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":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W83500411","https://openalex.org/W573114963","https://openalex.org/W1591497913","https://openalex.org/W1967525281","https://openalex.org/W1976210155","https://openalex.org/W1998851676","https://openalex.org/W2052017700","https://openalex.org/W2057634036","https://openalex.org/W2068551947","https://openalex.org/W2145417199","https://openalex.org/W2477244626","https://openalex.org/W2491924997","https://openalex.org/W2495091787","https://openalex.org/W3175533316"],"related_works":["https://openalex.org/W4248156777","https://openalex.org/W4244981417","https://openalex.org/W2135721863","https://openalex.org/W1966564422","https://openalex.org/W2494007662","https://openalex.org/W934401390","https://openalex.org/W4249994199","https://openalex.org/W2381832926","https://openalex.org/W2018770902","https://openalex.org/W2289329820"],"abstract_inverted_index":{"A":[0],"problem":[1,32,64,130,140],"of":[2,4,18,38,56,80,84,98,123,141,143],"stabilization":[3,129],"unstable":[5],"cycles":[6],"is":[7,41,50,75,131,148],"solved":[8],"in":[9,30,62,92],"this":[10],"paper":[11],"using":[12],"delay":[13,48,105],"feedback":[14,101],"at":[15],"the":[16,27,39,44,54,57,63,67,78,81,85,99,109,124,128,139,144],"example":[17],"a":[19,31,137],"model":[20],"equation":[21,146],"with":[22,65],"cubic":[23],"nonlinearity.":[24],"We":[25],"consider":[26],"case":[28],"when,":[29],"without":[33],"control,":[34,66],"exactly":[35],"one":[36],"multiplicator":[37],"cycle":[40,59,147],"located":[42],"outside":[43],"unit":[45],"circle.":[46],"The":[47,73,88,115],"time":[49],"selected":[51],"proportional":[52],"to":[53],"period":[55],"initial":[58,68,110],"so":[60],"that,":[61],"solution":[69,112],"should":[70],"still":[71],"exists.":[72],"D-partition":[74],"obtained":[76],"for":[77,96,120],"plane":[79],"complex":[82],"coefficient":[83],"delayed":[86,100],"control.":[87],"main":[89],"result":[90],"consists":[91],"analytically":[93],"found":[94],"conditions":[95,119],"parameters":[97,122],"control":[102],"(coefficient":[103],"and":[104,117],"time)":[106],"under":[107,126],"which":[108,127],"periodic":[111],"becomes":[113],"stable.":[114],"necessary":[116],"sufficient":[118],"proper":[121],"problems":[125],"solvable":[132],"are":[133],"also":[134],"determined.":[135],"As":[136],"consequence,":[138],"stability":[142],"Stuart-Landau":[145],"completely":[149],"solved.":[150]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
