{"id":"https://openalex.org/W1605987100","doi":"https://doi.org/10.1109/icarcv.2004.1469317","title":"Phenomenon of bifurcation for nonlinear triharmonic equations","display_name":"Phenomenon of bifurcation for nonlinear triharmonic equations","publication_year":2005,"publication_date":"2005-07-27","ids":{"openalex":"https://openalex.org/W1605987100","doi":"https://doi.org/10.1109/icarcv.2004.1469317","mag":"1605987100"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2004.1469317","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2004.1469317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.","raw_type":"proceedings-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":null,"display_name":"Yang Jianhui","orcid":null},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Jianhui","raw_affiliation_strings":["Huazhong University of Science and Technology, Wuhan, China","Huazhong University of Science and Technology, Wuhan, CHINA"],"affiliations":[{"raw_affiliation_string":"Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Huazhong University of Science and Technology, Wuhan, CHINA","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077335712","display_name":"H.O. Wang","orcid":"https://orcid.org/0000-0003-1974-8660"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"H.O. Wang","raw_affiliation_strings":["Huazhong University of Science and Technology, Wuhan, China","Huazhong University of Science and Technology, Wuhan, CHINA"],"affiliations":[{"raw_affiliation_string":"Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Huazhong University of Science and Technology, Wuhan, CHINA","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07604563,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"1695","last_page":"1698"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/biharmonic-equation","display_name":"Biharmonic equation","score":0.7632008790969849},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7489602565765381},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6675107479095459},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6054182052612305},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5420786142349243},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.5143462419509888},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4192041754722595},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1739700436592102},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10862511396408081},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.06776419281959534}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.7632008790969849},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7489602565765381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6675107479095459},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6054182052612305},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5420786142349243},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.5143462419509888},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4192041754722595},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1739700436592102},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10862511396408081},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.06776419281959534},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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:10.1109/icarcv.2004.1469317","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2004.1469317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2038928461","https://openalex.org/W2063398849","https://openalex.org/W2075289325"],"related_works":["https://openalex.org/W1967124761","https://openalex.org/W2137413016","https://openalex.org/W2094046875","https://openalex.org/W2069713792","https://openalex.org/W110415256","https://openalex.org/W370258010","https://openalex.org/W2334634358","https://openalex.org/W4388906764","https://openalex.org/W2233462344","https://openalex.org/W2953100338"],"abstract_inverted_index":{"In":[0,53],"this":[1],"paper,":[2],"the":[3,8,14,48,56,66,69,90],"problem":[4],"of":[5,7,47,99,101],"bifurcation":[6,46,84],"triharmonic":[9,54,70],"equation":[10,24,37,71],"is":[11],"discussed":[12],"by":[13,65],"best":[15,57],"embedding":[16,58],"constant":[17,59],"and":[18,30,60,79],"Nhari-type":[19],"variation":[20],"method.":[21],"The":[22,35],"harmonic":[23],"has":[25,33,38,72],"at":[26,39,73],"least":[27,40,74],"two":[28],"solutions":[29],"its":[31],"solution":[32,49,78,100],"bifurcation.":[34],"biharmonic":[36],"a":[41,75,80],"radial":[42,76],"positive":[43,77,82],"solution,":[44,83],"but":[45],"can't":[50],"be":[51,87],"discovered.":[52],"equation,":[55],"Palais-Smale":[61],"condition":[62],"are":[63],"given":[64],"defined":[67],"function,":[68],"nonradial":[81],"phenomenon":[85],"can":[86],"discovered":[88],"in":[89],"solution.":[91],"We":[92],"also":[93],"supply":[94],"method":[95],"for":[96],"discussing":[97],"existence":[98],"polyharmonic":[102],"equation.":[103]},"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}