{"id":"https://openalex.org/W2725128224","doi":"https://doi.org/10.1142/s0218127417500870","title":"Noninvasive Stabilization of Periodic Orbits in O4-Symmetrically Coupled Systems Near a Hopf Bifurcation Point","display_name":"Noninvasive Stabilization of Periodic Orbits in O4-Symmetrically Coupled Systems Near a Hopf Bifurcation Point","publication_year":2017,"publication_date":"2017-06-15","ids":{"openalex":"https://openalex.org/W2725128224","doi":"https://doi.org/10.1142/s0218127417500870","mag":"2725128224"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127417500870","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417500870","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5000228621","display_name":"Edward Hooton","orcid":null},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Edward Hooton","raw_affiliation_strings":["Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Road, Richardson, Dallas 75080, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Road, Richardson, Dallas 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017516419","display_name":"Zalman Balanov","orcid":"https://orcid.org/0000-0002-3218-7290"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zalman Balanov","raw_affiliation_strings":["Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Road, Richardson, Dallas 75080, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Road, Richardson, Dallas 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072350255","display_name":"Wies\u0142aw Krawcewicz","orcid":"https://orcid.org/0000-0003-2980-585X"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wieslaw Krawcewicz","raw_affiliation_strings":["Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Road, Richardson, Dallas 75080, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Road, Richardson, Dallas 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005880460","display_name":"\u0414\u043c\u0438\u0442\u0440\u0438\u0439 \u0420\u0430\u0447\u0438\u043d\u0441\u043a\u0438\u0439","orcid":"https://orcid.org/0000-0003-2786-7205"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dmitrii Rachinskii","raw_affiliation_strings":["Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Road, Richardson, Dallas 75080, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Texas at Dallas, 800 W Campbell Road, Richardson, Dallas 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000228621"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":null,"apc_paid":null,"fwci":1.0375,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79605294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":"06","first_page":"1750087","last_page":"1750087"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"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":0.9965000152587891,"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/T11575","display_name":"Nonlinear Photonic Systems","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/equivariant-map","display_name":"Equivariant map","score":0.8118902444839478},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7082527875900269},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.6803951859474182},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5800426602363586},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5642956495285034},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.4666549861431122},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.45215675234794617},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.41786548495292664},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4109010100364685},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38262704014778137},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3701455891132355},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3001708984375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23089435696601868},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22117716073989868},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11150607466697693},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0950244665145874},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08383730053901672}],"concepts":[{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.8118902444839478},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7082527875900269},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.6803951859474182},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5800426602363586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5642956495285034},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.4666549861431122},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.45215675234794617},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41786548495292664},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4109010100364685},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38262704014778137},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3701455891132355},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3001708984375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23089435696601868},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22117716073989868},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11150607466697693},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0950244665145874},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08383730053901672},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127417500870","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417500870","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1935703172","display_name":null,"funder_award_id":"11301102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G606690565","display_name":null,"funder_award_id":"1413223","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321449","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495"},{"id":"https://openalex.org/F4320335268","display_name":"Research Institute for Mathematical Sciences","ror":"https://ror.org/02kpeqv85"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W108183727","https://openalex.org/W629586185","https://openalex.org/W1539891295","https://openalex.org/W1597986381","https://openalex.org/W1965778005","https://openalex.org/W1984859450","https://openalex.org/W1988391422","https://openalex.org/W1992806616","https://openalex.org/W1998982031","https://openalex.org/W2012536640","https://openalex.org/W2027210531","https://openalex.org/W2043534942","https://openalex.org/W2043635613","https://openalex.org/W2065544049","https://openalex.org/W2068551947","https://openalex.org/W2070093403","https://openalex.org/W2083694019","https://openalex.org/W2085733653","https://openalex.org/W2091631815","https://openalex.org/W2102275648","https://openalex.org/W2109107691","https://openalex.org/W2109556412","https://openalex.org/W2121867602","https://openalex.org/W2488246962","https://openalex.org/W2488589285","https://openalex.org/W2554009120"],"related_works":["https://openalex.org/W3148895720","https://openalex.org/W30258475","https://openalex.org/W2356579025","https://openalex.org/W2783068836","https://openalex.org/W2801648456","https://openalex.org/W2153163137","https://openalex.org/W4386195282","https://openalex.org/W2163891442","https://openalex.org/W2369390809","https://openalex.org/W2030497467"],"abstract_inverted_index":{"Pyragas":[0],"time-delayed":[1],"feedback":[2],"control":[3,68,87],"has":[4],"proven":[5],"itself":[6],"as":[7],"an":[8],"effective":[9],"tool":[10],"to":[11,25,57,82],"noninvasively":[12],"stabilize":[13],"periodic":[14,62,104],"solutions.":[15,63],"In":[16,28],"a":[17,46,66,74,97],"number":[18],"of":[19,37,60,73,86,106],"publications,":[20],"this":[21,29],"method":[22],"was":[23],"adapted":[24],"equivariant":[26,52],"settings.":[27],"paper,":[30],"we":[31,91],"consider":[32],"[Formula:":[33],"see":[34],"text]-symmetric":[35],"systems":[36,50],"van":[38],"der":[39],"Pol":[40],"and":[41],"optical":[42],"oscillators":[43],"coupled":[44],"in":[45,96],"cube-like":[47],"configuration.":[48],"These":[49],"undergo":[51],"Hopf":[53],"bifurcations":[54],"giving":[55],"rise":[56],"multiple":[58],"branches":[59],"unstable":[61],"We":[64],"introduce":[65],"delayed":[67,108],"term,":[69],"which":[70,80,102],"ensures":[71],"stabilization":[72],"selected":[75],"branch.":[76],"Group":[77],"theoretic":[78],"restrictions":[79],"help":[81],"shape":[83],"our":[84],"choice":[85],"are":[88,110],"discussed.":[89],"Furthermore,":[90],"explicitly":[92],"describe":[93],"the":[94,103,107],"domains":[95],"two-dimensional":[98],"parameter":[99],"space":[100],"for":[101],"solutions":[105],"system":[109],"stable.":[111]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}
