{"id":"https://openalex.org/W2172080294","doi":"https://doi.org/10.1142/s0218127405012909","title":"HOPF BIFURCATION CONTROL OF DELAYED SYSTEMS WITH WEAK NONLINEARITY VIA DELAYED STATE FEEDBACK","display_name":"HOPF BIFURCATION CONTROL OF DELAYED SYSTEMS WITH WEAK NONLINEARITY VIA DELAYED STATE FEEDBACK","publication_year":2005,"publication_date":"2005-05-01","ids":{"openalex":"https://openalex.org/W2172080294","doi":"https://doi.org/10.1142/s0218127405012909","mag":"2172080294"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405012909","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012909","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/A5049923295","display_name":"Zaihua Wang","orcid":"https://orcid.org/0000-0003-4740-665X"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZAIHUA WANG","raw_affiliation_strings":["Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, P. R. China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100600902","display_name":"Haiyan Hu","orcid":"https://orcid.org/0000-0001-6402-9222"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"HAIYAN HU","raw_affiliation_strings":["Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, P. R. China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":0.2473,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.59363697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"15","issue":"05","first_page":"1787","last_page":"1799"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.996999979019165,"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":0.996999979019165,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9901999831199646,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7308329343795776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6646323800086975},{"id":"https://openalex.org/keywords/center-manifold","display_name":"Center manifold","score":0.6444973945617676},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6367952227592468},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5779629945755005},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.48033586144447327},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.45934563875198364},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.33761098980903625},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32037925720214844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13433033227920532},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12684306502342224}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7308329343795776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6646323800086975},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.6444973945617676},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6367952227592468},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5779629945755005},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.48033586144447327},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.45934563875198364},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.33761098980903625},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32037925720214844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13433033227920532},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12684306502342224},{"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":1,"locations":[{"id":"doi:10.1142/s0218127405012909","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012909","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W610586754","https://openalex.org/W1531715726","https://openalex.org/W1575806465","https://openalex.org/W1979367786","https://openalex.org/W1989336648","https://openalex.org/W1993362200","https://openalex.org/W2009433941","https://openalex.org/W2013222032","https://openalex.org/W2017830428","https://openalex.org/W2037381171","https://openalex.org/W2038150727","https://openalex.org/W2039775357","https://openalex.org/W2048557046","https://openalex.org/W2071545163","https://openalex.org/W2088804152","https://openalex.org/W2094913794","https://openalex.org/W2123979875","https://openalex.org/W2152823408","https://openalex.org/W2297521577","https://openalex.org/W4301756616"],"related_works":["https://openalex.org/W1987790493","https://openalex.org/W2153388945","https://openalex.org/W2038701038","https://openalex.org/W1975783007","https://openalex.org/W1996991127","https://openalex.org/W2382752082","https://openalex.org/W1988489950","https://openalex.org/W1986426368","https://openalex.org/W2363522146","https://openalex.org/W2061491569"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,39,102,117],"study":[4],"on":[5,25],"the":[6,33,46,53,74,77,81,109,114,140,149,154,179],"problem":[7],"of":[8,12,76,113],"Hopf":[9],"bifurcation":[10],"control":[11,27,43,123,183],"time":[13],"delayed":[14,20,41,70,86,104,121,164],"systems":[15,165],"with":[16,63,132,148,158,166],"weak":[17,167,171],"nonlinearity":[18,168,180],"via":[19,66,170],"feedback":[21,42,71,105,122,172,182],"control.":[22,72],"It":[23,97],"focusses":[24],"two":[26],"objectives:":[28],"one":[29],"is":[30,49,55,92,143,156],"to":[31,37,56],"annihilate":[32],"periodic":[34,61,130],"solution,":[35],"namely":[36],"perform":[38],"linear":[40,67,103,118],"so":[44],"that":[45,101,139,153],"trivial":[47,111],"equilibrium":[48,112],"asymptotically":[50,59,128],"stable,":[51],"and":[52,80,116,152,169,181],"other":[54],"obtain":[57],"an":[58,89,127],"stable":[60,129],"solution":[62,131],"given":[64],"amplitude":[65],"or":[68,119],"nonlinear":[69,120],"On":[73],"basis":[75],"averaging":[78],"method":[79,91,155],"center":[82],"manifold":[83],"reduction":[84],"for":[85,94,163,176],"differential":[87],"equations,":[88],"effective":[90],"developed":[93],"this":[95],"problem.":[96],"has":[98],"been":[99],"shown":[100],"can":[106,124],"always":[107,125],"stabilize":[108],"unstable":[110],"system,":[115],"achieve":[126],"desired":[133],"amplitude.":[134],"The":[135],"illustrative":[136],"example":[137],"shows":[138],"theoretical":[141],"prediction":[142],"in":[144],"very":[145],"good":[146],"agreement":[147],"simulation":[150],"results,":[151],"valid":[157],"high":[159],"accuracy":[160],"not":[161,185],"only":[162],"control,":[173],"but":[174],"also":[175],"those":[177],"when":[178],"are":[184],"small.":[186]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
