{"id":"https://openalex.org/W2011478687","doi":"https://doi.org/10.1142/s0218127406014617","title":"DELAY FEEDBACK CONTROL FOR INTERACTION OF HOPF AND PERIOD DOUBLING BIFURCATIONS IN DISCRETE-TIME SYSTEMS","display_name":"DELAY FEEDBACK CONTROL FOR INTERACTION OF HOPF AND PERIOD DOUBLING BIFURCATIONS IN DISCRETE-TIME SYSTEMS","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2011478687","doi":"https://doi.org/10.1142/s0218127406014617","mag":"2011478687"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127406014617","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406014617","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/A5111789900","display_name":"Guilin Wen","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"GUILIN WEN","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore","Department of Electrical & Computer Engineering, National University of Singapore, Singapore 119260, Singapore#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, National University of Singapore, Singapore 119260, Singapore#TAB#","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100682407","display_name":"Qing\u2010Guo Wang","orcid":"https://orcid.org/0000-0002-3672-3716"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"QING-GUO WANG","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore","Department of Electrical & Computer Engineering, National University of Singapore, Singapore 119260, Singapore#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, National University of Singapore, Singapore 119260, Singapore#TAB#","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105412111","display_name":"Min\u2010Sen Chiu","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"MIN-SEN CHIU","raw_affiliation_strings":["Department of Chemical and Biomolecular Engineering, National University of Singapore, Singapore 119260, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical and Biomolecular Engineering, National University of Singapore, Singapore 119260, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.11779638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"16","issue":"01","first_page":"101","last_page":"112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9980999827384949,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.8639310598373413},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7002756595611572},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.6567395329475403},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.6358535289764404},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6255176067352295},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.6219378709793091},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.6136535406112671},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.6090884804725647},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5894260406494141},{"id":"https://openalex.org/keywords/center-manifold","display_name":"Center manifold","score":0.559269368648529},{"id":"https://openalex.org/keywords/bogdanov\u2013takens-bifurcation","display_name":"Bogdanov\u2013Takens bifurcation","score":0.48565423488616943},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.4826277196407318},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.47757747769355774},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4255205988883972},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.4223173260688782},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36241614818573},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34846824407577515},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21936935186386108},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17874345183372498},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10782995820045471}],"concepts":[{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.8639310598373413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7002756595611572},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.6567395329475403},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.6358535289764404},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6255176067352295},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.6219378709793091},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.6136535406112671},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6090884804725647},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5894260406494141},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.559269368648529},{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.48565423488616943},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.4826277196407318},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.47757747769355774},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4255205988883972},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.4223173260688782},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36241614818573},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34846824407577515},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21936935186386108},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17874345183372498},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10782995820045471},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127406014617","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406014617","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"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/55514","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/55514","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W563922805","https://openalex.org/W1966536096","https://openalex.org/W1982767368","https://openalex.org/W1984153198","https://openalex.org/W1988037432","https://openalex.org/W2020140194","https://openalex.org/W2024100940","https://openalex.org/W2029390465","https://openalex.org/W2033166636","https://openalex.org/W2038150727","https://openalex.org/W2057990022","https://openalex.org/W2063785173","https://openalex.org/W2074350874","https://openalex.org/W2083490463","https://openalex.org/W2094913794","https://openalex.org/W2134869135","https://openalex.org/W2143334025","https://openalex.org/W4251747188"],"related_works":["https://openalex.org/W2356715721","https://openalex.org/W2546487931","https://openalex.org/W3020506472","https://openalex.org/W2356226573","https://openalex.org/W2019027784","https://openalex.org/W2025138898","https://openalex.org/W2078078632","https://openalex.org/W2347648614","https://openalex.org/W4250493900","https://openalex.org/W2737309493"],"abstract_inverted_index":{"Interaction":[0],"of":[1,40,76,99,108,134,143,146,149],"Hopf":[2,41],"and":[3,42,69,97,106,138],"period":[4,43],"doubling":[5,44],"bifurcations,":[6],"as":[7],"a":[8,34,47,79],"so-called":[9],"codimension":[10],"two":[11],"singularity,":[12],"may":[13],"give":[14],"rise":[15],"to":[16,72,117],"rich":[17],"bifurcation":[18,27,53,66,109],"outcomes":[19],"depending":[20],"on":[21],"the":[22,26,60,65,88,93,104,132,135,150],"two-parameter":[23],"unfolding":[24],"at":[25,46,78],"point.":[28],"In":[29],"this":[30,74],"paper,":[31],"we":[32],"develop":[33],"nonlinear":[35,85],"delay":[36],"control":[37,58,86,113,136],"for":[38],"interaction":[39],"bifurcations":[45,77],"desired":[48,80],"parameter":[49,81],"location":[50],"with":[51],"preferred":[52],"properties.":[54],"For":[55,83],"its":[56,84],"linear":[57],"term,":[59,87],"gains":[61,89],"are":[62,70,90],"determined":[63],"by":[64,92],"critical":[67],"conditions":[68],"used":[71],"create":[73],"type":[75,105],"location.":[82],"derived":[91],"center":[94],"manifold":[95],"theorem":[96],"theory":[98],"normal":[100],"form.":[101],"They":[102],"determine":[103],"stability":[107],"solutions.":[110],"The":[111],"proposed":[112],"method":[114],"is":[115],"applicable":[116],"any":[118],"uncontrolled":[119],"system":[120],"which":[121],"can":[122],"be":[123],"stable,":[124],"unstable":[125],"or":[126],"even":[127],"chaotic.":[128],"Numerical":[129],"experiments":[130],"verify":[131],"feasibility":[133],"methodology":[137],"clearly":[139],"show":[140],"easy":[141],"manipulation":[142],"all":[144],"kinds":[145],"possible":[147],"solutions":[148],"created":[151],"bifurcation.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":15},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}