{"id":"https://openalex.org/W2001865493","doi":"https://doi.org/10.1142/s0218127411030428","title":"SYNCHRONIZATION AND BIFURCATION IN LIMIT CYCLE OSCILLATORS WITH DELAYED COUPLINGS","display_name":"SYNCHRONIZATION AND BIFURCATION IN LIMIT CYCLE OSCILLATORS WITH DELAYED COUPLINGS","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2001865493","doi":"https://doi.org/10.1142/s0218127411030428","mag":"2001865493"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127411030428","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411030428","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/A5022678968","display_name":"Jian Peng","orcid":"https://orcid.org/0000-0003-0104-522X"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIAN PENG","raw_affiliation_strings":["College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan 410082, P. R. China","College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan, 410082, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan 410082, P. R. China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan, 410082, P. R. China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115588440","display_name":"Lianhua Wang","orcid":"https://orcid.org/0009-0002-2475-1282"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LIANHUA WANG","raw_affiliation_strings":["College of Civil Engineering, Hunan University, Changsha, Hunan 410082, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Civil Engineering, Hunan University, Changsha, Hunan 410082, P. R. China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101199854","display_name":"Yueyu Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YUEYU ZHAO","raw_affiliation_strings":["College of Civil Engineering, Hunan University, Changsha, Hunan 410082, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Civil Engineering, Hunan University, Changsha, Hunan 410082, P. R. China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015369343","display_name":"Shangjiang Guo","orcid":"https://orcid.org/0000-0002-9114-5269"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"SHANGJIANG GUO","raw_affiliation_strings":["College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, P. R. China","College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, P. R. China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, P.R. China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.11861789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"21","issue":"11","first_page":"3157","last_page":"3169"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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":0.9998999834060669,"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/T11927","display_name":"Plant Reproductive Biology","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9915000200271606,"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/center-manifold","display_name":"Center manifold","score":0.8093866109848022},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7936505079269409},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.757705807685852},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6289435029029846},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.6050235033035278},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5835366249084473},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5174880027770996},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5138078331947327},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4809233844280243},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4765484929084778},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.46624723076820374},{"id":"https://openalex.org/keywords/infinite-period-bifurcation","display_name":"Infinite-period bifurcation","score":0.4592854976654053},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.4554429352283478},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.44888511300086975},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.4261133372783661},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4053491950035095},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3006393313407898},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2958798408508301},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1777588427066803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11184766888618469},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1029638946056366},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06437453627586365}],"concepts":[{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.8093866109848022},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7936505079269409},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.757705807685852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6289435029029846},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.6050235033035278},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5835366249084473},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5174880027770996},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5138078331947327},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4809233844280243},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4765484929084778},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.46624723076820374},{"id":"https://openalex.org/C165150564","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Infinite-period bifurcation","level":5,"score":0.4592854976654053},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.4554429352283478},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.44888511300086975},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.4261133372783661},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4053491950035095},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3006393313407898},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2958798408508301},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1777588427066803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11184766888618469},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1029638946056366},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06437453627586365},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127411030428","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411030428","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1531715726","https://openalex.org/W1552317631","https://openalex.org/W1965778005","https://openalex.org/W1970964221","https://openalex.org/W1977954917","https://openalex.org/W1984888134","https://openalex.org/W1988653178","https://openalex.org/W1989028519","https://openalex.org/W1990775568","https://openalex.org/W1992406658","https://openalex.org/W1992942874","https://openalex.org/W1998046420","https://openalex.org/W2000260888","https://openalex.org/W2001136072","https://openalex.org/W2016925935","https://openalex.org/W2019932911","https://openalex.org/W2028710062","https://openalex.org/W2029040258","https://openalex.org/W2038743342","https://openalex.org/W2040754462","https://openalex.org/W2049031553","https://openalex.org/W2079871064","https://openalex.org/W2083624565","https://openalex.org/W2085904052","https://openalex.org/W2088678566","https://openalex.org/W2094349754","https://openalex.org/W2118200306","https://openalex.org/W2158533181"],"related_works":["https://openalex.org/W2019027784","https://openalex.org/W2075769438","https://openalex.org/W2546487931","https://openalex.org/W2978098199","https://openalex.org/W2054978396","https://openalex.org/W4293768108","https://openalex.org/W2070798748","https://openalex.org/W3123487452","https://openalex.org/W1984861030","https://openalex.org/W2087441007"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,13,23],"system":[4],"of":[5,30,72],"three":[6],"globally":[7],"coupled":[8],"limit":[9],"cycle":[10],"oscillators":[11],"with":[12],"linear":[14],"time-delayed":[15],"coupling":[16],"are":[17,52,75,93,99],"investigated.":[18],"Considering":[19],"the":[20,28,34,44,56,70,89,103],"delay":[21,32],"as":[22],"parameter,":[24],"we":[25,61],"also":[26],"study":[27],"effect":[29],"time":[31,41],"on":[33,55],"dynamics.":[35],"Next,":[36],"Hopf":[37,58,73],"bifurcations":[38,74],"induced":[39],"by":[40],"delays":[42],"using":[43],"normal":[45],"form":[46],"theory":[47],"and":[48,65],"center":[49],"manifold":[50],"reduction":[51],"obtained.":[53],"Based":[54],"symmetric":[57],"bifurcation":[59],"theorem,":[60],"investigate":[62],"stable":[63],"phase-locking":[64],"unstable":[66],"waves.":[67],"Then":[68],"later,":[69],"directions":[71],"determined":[76],"in":[77],"some":[78],"region,":[79],"where":[80],"stability":[81],"switches":[82],"may":[83],"occur.":[84],"The":[85],"results":[86],"show":[87],"that":[88],"bifurcating":[90],"periodic":[91],"solutions":[92],"orbitally":[94],"asymptotically":[95],"stable.":[96],"Numerical":[97],"simulations":[98],"applied":[100],"to":[101],"verify":[102],"theoretical":[104],"predictions.":[105]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}