{"id":"https://openalex.org/W1969975546","doi":"https://doi.org/10.1142/s0218127409025250","title":"HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS","display_name":"HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W1969975546","doi":"https://doi.org/10.1142/s0218127409025250","mag":"1969975546"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409025250","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409025250","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/A5030649439","display_name":"Maoan Han","orcid":"https://orcid.org/0000-0001-8792-1256"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"MAOAN HAN","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034144161","display_name":"Junmin Yang","orcid":"https://orcid.org/0000-0002-1627-0035"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JUNMIN YANG","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100652002","display_name":"Pei Yu","orcid":"https://orcid.org/0000-0002-8848-0584"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"PEI YU","raw_affiliation_strings":["Department of Applied Mathematics, The University of Western Ontario London, Ontario, Canada N6A 5B7, Canada","Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The University of Western Ontario London, Ontario, Canada N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.5653,"has_fulltext":false,"cited_by_count":96,"citation_normalized_percentile":{"value":0.97532189,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"19","issue":"12","first_page":"4117","last_page":"4130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":1.0,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9854000210762024,"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":0.9613999724388123,"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/hamiltonian-system","display_name":"Hamiltonian system","score":0.7560310363769531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6304420828819275},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6031132936477661},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5840228199958801},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.5738855004310608},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.573822557926178},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5718621015548706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45350009202957153},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.42915600538253784},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4102702736854553},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32804977893829346},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19556888937950134},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19356313347816467},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16236859560012817},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11615929007530212},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11302244663238525},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.061133891344070435}],"concepts":[{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.7560310363769531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6304420828819275},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6031132936477661},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5840228199958801},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.5738855004310608},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.573822557926178},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5718621015548706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45350009202957153},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.42915600538253784},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4102702736854553},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32804977893829346},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19556888937950134},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19356313347816467},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16236859560012817},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11615929007530212},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11302244663238525},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.061133891344070435},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409025250","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409025250","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":15,"referenced_works":["https://openalex.org/W625401248","https://openalex.org/W1593578268","https://openalex.org/W1607000426","https://openalex.org/W1977739599","https://openalex.org/W1987424788","https://openalex.org/W2027907745","https://openalex.org/W2039576666","https://openalex.org/W2049815318","https://openalex.org/W2071479141","https://openalex.org/W2075420560","https://openalex.org/W2076924905","https://openalex.org/W2083318543","https://openalex.org/W2129875234","https://openalex.org/W2148704323","https://openalex.org/W4205579805"],"related_works":["https://openalex.org/W2361025465","https://openalex.org/W2115351049","https://openalex.org/W2353430195","https://openalex.org/W2094768441","https://openalex.org/W178781247","https://openalex.org/W2243882821","https://openalex.org/W2045360568","https://openalex.org/W2001119836","https://openalex.org/W2522146511","https://openalex.org/W2393998944"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,52],"consider":[4,53],"bifurcation":[5],"of":[6,22,48,60,82,109],"limit":[7,77,104],"cycles":[8,78,105],"in":[9,66,72,79,106],"near-Hamiltonian":[10],"systems.":[11,31],"A":[12],"new":[13,35],"method":[14],"is":[15,41],"developed":[16],"to":[17,43,68,89,96],"study":[18],"the":[19,23,27,34,46,54,57,61,69,80,83,99,107,110],"analytical":[20],"property":[21],"Melnikov":[24,49],"function":[25,59],"near":[26],"origin":[28],"for":[29],"such":[30],"Based":[32],"on":[33,64],"method,":[36],"a":[37,90],"computationally":[38],"efficient":[39],"algorithm":[40],"established":[42],"systematically":[44],"compute":[45],"coefficients":[47,70],"function.":[50],"Moreover,":[51],"case":[55],"that":[56,98],"Hamiltonian":[58],"system":[62,92,100],"depends":[63],"parameters,":[65],"addition":[67],"involved":[71],"perturbations,":[73],"which":[74],"generates":[75],"more":[76],"neighborhood":[81],"origin.":[84,111],"The":[85],"results":[86],"are":[87],"applied":[88],"quadratic":[91],"with":[93],"cubic":[94],"perturbations":[95],"show":[97],"can":[101],"have":[102],"five":[103],"vicinity":[108]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":11}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
