{"id":"https://openalex.org/W4292450716","doi":"https://doi.org/10.1007/s00332-022-09824-7","title":"Stability of Regular Polygonal Relative Equilibria on $$\\mathbf{}\\mathbb S^2$$","display_name":"Stability of Regular Polygonal Relative Equilibria on $$\\mathbf{}\\mathbb S^2$$","publication_year":2022,"publication_date":"2022-08-20","ids":{"openalex":"https://openalex.org/W4292450716","doi":"https://doi.org/10.1007/s00332-022-09824-7"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-022-09824-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-022-09824-7","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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/A5049800215","display_name":"Antonio Hern\u00e1ndez-Gardu\u00f1o","orcid":"https://orcid.org/0000-0001-7026-5328"},"institutions":[{"id":"https://openalex.org/I187481652","display_name":"Instituto Tecnol\u00f3gico Aut\u00f3nomo de M\u00e9xico","ror":"https://ror.org/029md1766","country_code":"MX","type":"education","lineage":["https://openalex.org/I187481652"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Antonio Hern\u00e1ndez-Gardu\u00f1o","raw_affiliation_strings":["Department of Engineering, ITAM, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering, ITAM, Mexico City, Mexico","institution_ids":["https://openalex.org/I187481652"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086354287","display_name":"Ernesto P\u00e9rez-Chavela","orcid":"https://orcid.org/0000-0002-2930-5874"},"institutions":[{"id":"https://openalex.org/I187481652","display_name":"Instituto Tecnol\u00f3gico Aut\u00f3nomo de M\u00e9xico","ror":"https://ror.org/029md1766","country_code":"MX","type":"education","lineage":["https://openalex.org/I187481652"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Ernesto P\u00e9rez-Chavela","raw_affiliation_strings":["Department of Mathematics, ITAM, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, ITAM, Mexico City, Mexico","institution_ids":["https://openalex.org/I187481652"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078395728","display_name":"Shuqiang Zhu","orcid":"https://orcid.org/0000-0002-6216-2326"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuqiang Zhu","raw_affiliation_strings":["School of Economic and Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China"],"raw_orcid":"https://orcid.org/0000-0002-6216-2326","affiliations":[{"raw_affiliation_string":"School of Economic and Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China","institution_ids":["https://openalex.org/I204831749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078395728"],"corresponding_institution_ids":["https://openalex.org/I204831749"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.2441,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.49313312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"32","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.996999979019165,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.996999979019165,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.996399998664856,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.989300012588501,"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/equator","display_name":"Equator","score":0.6576393246650696},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6265531778335571},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.6199826002120972},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.558964192867279},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5237138867378235},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4386022686958313},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4320332109928131},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41556668281555176},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.39147794246673584},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3901381492614746},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33335673809051514},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.27117422223091125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06195920705795288}],"concepts":[{"id":"https://openalex.org/C12980444","wikidata":"https://www.wikidata.org/wiki/Q23538","display_name":"Equator","level":3,"score":0.6576393246650696},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6265531778335571},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.6199826002120972},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.558964192867279},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5237138867378235},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4386022686958313},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4320332109928131},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41556668281555176},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39147794246673584},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3901381492614746},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33335673809051514},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.27117422223091125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06195920705795288},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C122523270","wikidata":"https://www.wikidata.org/wiki/Q34027","display_name":"Latitude","level":2,"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-022-09824-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-022-09824-7","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2966746442","display_name":null,"funder_award_id":"201806345013","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G8094969471","display_name":null,"funder_award_id":"11801537","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"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W774656968","https://openalex.org/W1976306285","https://openalex.org/W1997764531","https://openalex.org/W2014668445","https://openalex.org/W2092071283","https://openalex.org/W2108952703","https://openalex.org/W2170006210","https://openalex.org/W2170842668","https://openalex.org/W2316331411","https://openalex.org/W2576517881","https://openalex.org/W2593581176","https://openalex.org/W2746970481","https://openalex.org/W2915337493","https://openalex.org/W2962845929","https://openalex.org/W2963028386","https://openalex.org/W2963181584","https://openalex.org/W2963320724","https://openalex.org/W2963387869","https://openalex.org/W3022116965","https://openalex.org/W3105665100","https://openalex.org/W3118861594","https://openalex.org/W3121761384","https://openalex.org/W4239432905","https://openalex.org/W4245807705"],"related_works":["https://openalex.org/W25920789","https://openalex.org/W2331229837","https://openalex.org/W1963736650","https://openalex.org/W4211170641","https://openalex.org/W1640978455","https://openalex.org/W2262527533","https://openalex.org/W3025493643","https://openalex.org/W3188321613","https://openalex.org/W2006700022","https://openalex.org/W3207260827"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-08-20T00:00:00"}