{"id":"https://openalex.org/W4377029850","doi":"https://doi.org/10.1137/22m1495032","title":"Stacked Central Configurations with a Homogeneous Potential in \\(\\mathbb{R}^3\\)","display_name":"Stacked Central Configurations with a Homogeneous Potential in \\(\\mathbb{R}^3\\)","publication_year":2023,"publication_date":"2023-05-18","ids":{"openalex":"https://openalex.org/W4377029850","doi":"https://doi.org/10.1137/22m1495032"},"language":"en","primary_location":{"id":"doi:10.1137/22m1495032","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1495032","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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/A5033730026","display_name":"Yangshanshan Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]},{"id":"https://openalex.org/I4210125143","display_name":"Chengdu University","ror":"https://ror.org/034z67559","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yangshanshan Liu","raw_affiliation_strings":["Department of Mathematics, Sichuan University, Chengdu 610065, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sichuan University, Chengdu 610065, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24185976","https://openalex.org/I4210125143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071981968","display_name":"Shiqing Zhang","orcid":"https://orcid.org/0000-0002-0640-6728"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiqing Zhang","raw_affiliation_strings":["Corresponding author. Department of Mathematics, Sichuan University, Chengdu 610065, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Mathematics, Sichuan University, Chengdu 610065, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5019,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57432382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"22","issue":"2","first_page":"635","last_page":"656"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9994999766349792,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/homogeneous","display_name":"Homogeneous","score":0.7577694654464722},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5855377316474915},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.52757728099823},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.4682636857032776},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4442730247974396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.411074161529541},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36652088165283203},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3441930413246155},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3364051580429077},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32141217589378357},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.306256502866745},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1120067834854126},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07330241799354553},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.055431246757507324}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.7577694654464722},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5855377316474915},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.52757728099823},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.4682636857032776},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4442730247974396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.411074161529541},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36652088165283203},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3441930413246155},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3364051580429077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32141217589378357},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.306256502866745},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1120067834854126},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07330241799354553},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.055431246757507324},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1495032","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1495032","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G3305336719","display_name":null,"funder_award_id":"12071316","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1555780618","https://openalex.org/W1652439651","https://openalex.org/W1832244117","https://openalex.org/W1886456314","https://openalex.org/W1970223108","https://openalex.org/W1975422833","https://openalex.org/W1999126009","https://openalex.org/W1999786762","https://openalex.org/W2001766279","https://openalex.org/W2006733497","https://openalex.org/W2028076813","https://openalex.org/W2039672891","https://openalex.org/W2043260742","https://openalex.org/W2044413922","https://openalex.org/W2045638785","https://openalex.org/W2049932970","https://openalex.org/W2053967969","https://openalex.org/W2062713134","https://openalex.org/W2072087091","https://openalex.org/W2072764815","https://openalex.org/W2079738933","https://openalex.org/W2087551125","https://openalex.org/W2116493231","https://openalex.org/W2130509998","https://openalex.org/W2156971036","https://openalex.org/W2321767832","https://openalex.org/W2331423321","https://openalex.org/W2462912142","https://openalex.org/W2748347815","https://openalex.org/W2789789931","https://openalex.org/W2891692830","https://openalex.org/W2944206193","https://openalex.org/W2947877401","https://openalex.org/W2963756825","https://openalex.org/W2994428865","https://openalex.org/W3105025644","https://openalex.org/W3119574084","https://openalex.org/W3195465344","https://openalex.org/W4221009956","https://openalex.org/W4231164512","https://openalex.org/W4255621224"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2935909890","https://openalex.org/W2778153218","https://openalex.org/W2758277628","https://openalex.org/W1531601525","https://openalex.org/W2892687381"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"generalize":[4],"some":[5,40],"results":[6],"discussed":[7],"by":[8,61],"X.":[9],"Yu":[10],"and":[11],"S.":[12],"Zhu":[13],"[J.":[14],"Nonlinear.":[15],"Sci.,":[16],"31":[17],"(2021),":[18],"11]":[19],"concerning":[20],"stacked":[21,54],"central":[22,47,59],"configurations.":[23,48],"We":[24,38,49],"can":[25],"deal":[26],"with":[27],"the":[28,33,43,53,63],"general":[29],"homogeneous":[30],"potential":[31],"(containing":[32],"vortex":[34],"case)":[35],"in":[36],".":[37],"discuss":[39],"properties":[41],"of":[42],"regular":[44],"-gon":[45],"co-circular":[46],"also":[50],"find":[51],"that":[52],"property":[55],"is":[56],"particular":[57],"for":[58],"configurations":[60],"studying":[62],"S-balanced":[64],"configuration":[65],"case.":[66]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
