{"id":"https://openalex.org/W4378801816","doi":"https://doi.org/10.1137/22m1484407","title":"Periodic Oscillations in a \\(2{N}\\) -Body Problem","display_name":"Periodic Oscillations in a \\(2{N}\\) -Body Problem","publication_year":2023,"publication_date":"2023-05-31","ids":{"openalex":"https://openalex.org/W4378801816","doi":"https://doi.org/10.1137/22m1484407"},"language":"en","primary_location":{"id":"doi:10.1137/22m1484407","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1484407","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/A5024135704","display_name":"\u00d3scar Perdomo","orcid":"https://orcid.org/0000-0002-9647-2875"},"institutions":[{"id":"https://openalex.org/I154264771","display_name":"Central Connecticut State University","ror":"https://ror.org/054gzqw08","country_code":"US","type":"education","lineage":["https://openalex.org/I154264771","https://openalex.org/I4210132746"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oscar Perdomo","raw_affiliation_strings":["Department of Mathematics, Central Connecticut State University, New Britain, CT 06050 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central Connecticut State University, New Britain, CT 06050 USA","institution_ids":["https://openalex.org/I154264771"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046552683","display_name":"Andr\u00e9s Rivera","orcid":"https://orcid.org/0000-0001-6225-2519"},"institutions":[{"id":"https://openalex.org/I233745408","display_name":"Pontificia Universidad Javeriana","ror":"https://ror.org/03etyjw28","country_code":"CO","type":"education","lineage":["https://openalex.org/I233745408"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Andr\u00e9s Rivera","raw_affiliation_strings":["Departamento de Ciencias Naturales y Matem\u00e1ticas, Facultad de Ingenier\u00eda y Ciencias, Pontificia Universidad Javeriana Cali, Calle 18 No. 118\u2013250 Cali, Colombia"],"raw_orcid":"https://orcid.org/0000-0001-6225-2519","affiliations":[{"raw_affiliation_string":"Departamento de Ciencias Naturales y Matem\u00e1ticas, Facultad de Ingenier\u00eda y Ciencias, Pontificia Universidad Javeriana Cali, Calle 18 No. 118\u2013250 Cali, Colombia","institution_ids":["https://openalex.org/I233745408"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018624631","display_name":"John A. Arredondo","orcid":"https://orcid.org/0000-0003-2695-1835"},"institutions":[{"id":"https://openalex.org/I4210134254","display_name":"Fundaci\u00f3n Universitaria Konrad Lorenz","ror":"https://ror.org/03ca7a577","country_code":"CO","type":"education","lineage":["https://openalex.org/I4210134254"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"John A. Arredondo","raw_affiliation_strings":["Departamento de Matem\u00e1ticas Fundaci\u00f3n Universitaria Konrad Lorenz, Facultad de Ciencias e Ingenier\u00eda, Cra 9 bis 62-43, Bogot\u00e1, Colombia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Fundaci\u00f3n Universitaria Konrad Lorenz, Facultad de Ciencias e Ingenier\u00eda, Cra 9 bis 62-43, Bogot\u00e1, Colombia","institution_ids":["https://openalex.org/I4210134254"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050338510","display_name":"Nelson Casta\u00f1eda","orcid":null},"institutions":[{"id":"https://openalex.org/I154264771","display_name":"Central Connecticut State University","ror":"https://ror.org/054gzqw08","country_code":"US","type":"education","lineage":["https://openalex.org/I154264771","https://openalex.org/I4210132746"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nelson Casta\u00f1eda","raw_affiliation_strings":["Department of Mathematics, Central Connecticut State University, New Britain, CT 06050 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central Connecticut State University, New Britain, CT 06050 USA","institution_ids":["https://openalex.org/I154264771"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08583498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"2","first_page":"744","last_page":"764"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9728999733924866,"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/T10325","display_name":"Astro and Planetary Science","score":0.9599999785423279,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/equidistant","display_name":"Equidistant","score":0.7550137639045715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7031500935554504},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5869254469871521},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4672437012195587},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3965423107147217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3470410108566284},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17613813281059265}],"concepts":[{"id":"https://openalex.org/C158245278","wikidata":"https://www.wikidata.org/wiki/Q4386982","display_name":"Equidistant","level":2,"score":0.7550137639045715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7031500935554504},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5869254469871521},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4672437012195587},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3965423107147217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3470410108566284},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17613813281059265},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1484407","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1484407","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W354146894","https://openalex.org/W2010264200","https://openalex.org/W2069679295","https://openalex.org/W2093171515","https://openalex.org/W2095450204","https://openalex.org/W2122566717","https://openalex.org/W2321583851","https://openalex.org/W2592413541","https://openalex.org/W2657140703"],"related_works":["https://openalex.org/W2055230676","https://openalex.org/W2373708349","https://openalex.org/W2370379095","https://openalex.org/W2064284991","https://openalex.org/W2385837322","https://openalex.org/W2546071705","https://openalex.org/W2354382931","https://openalex.org/W2749786610","https://openalex.org/W2157747993","https://openalex.org/W2328740787"],"abstract_inverted_index":{"Hip-hop":[0],"solutions":[1,7,105,141,161,181],"of":[2,13,26,33,65,119,127,140],"the":[3,16,19,24,75,79,128,143,146],"-body":[4],"problem":[5],"are":[6,22,41,183],"that":[8,15,40,56,90,125,137,145,167,182],"satisfy,":[9],"at":[10,23,37],"every":[11,58,60,70],"instance":[12],"time,":[14],"bodies":[17],"with":[18,94,142,153],"same":[20],"mass":[21],"vertices":[25],"two":[27],"regular":[28],"-gons,":[29],"and":[30,59],"each":[31],"one":[32],"these":[34,73,107,160],"-gons":[35],"is":[36,86,91,150,172],"a":[38,44,63,173],"plane":[39,46,80],"equidistant":[42],"from":[43],"fixed":[45],"forming":[47],"an":[48,87],"antiprism.":[49],"In":[50],"this":[51,101],"paper,":[52],"we":[53,83,103,122,158],"first":[54],"prove":[55,166],"for":[57,97],"there":[61],"exists":[62],"family":[64],"periodic":[66,120],"hip-hop":[67],"solutions.":[68,111,164],"For":[69,100],"solution":[71,171],"in":[72,106,131],"families":[74,108],"oriented":[76,147],"distance":[77,148],"to":[78,96,155],",":[81,85],"which":[82],"call":[84,104,159],"odd":[88],"function":[89,149],"also":[92,176],"even":[93,152],"respect":[95,154],"some":[98,126],".":[99],"reason":[102],"double":[109,179],"symmetric":[110,163,170,180],"By":[112],"exploring":[113],"more":[114],"carefully":[115],"our":[116,132],"initial":[117],"set":[118],"solutions,":[121],"numerically":[123],"show":[124],"branches":[129,139],"established":[130],"existence":[133],"theorem":[134],"have":[135],"bifurcations":[136],"produce":[138],"property":[144],"not":[151],"any":[156],";":[157],"single":[162,169],"We":[165,175],"no":[168],"choreography.":[174],"display":[177],"explicit":[178],"choreographies.":[184]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}