{"id":"https://openalex.org/W3166162485","doi":"https://doi.org/10.1007/s00332-021-09767-5","title":"Efficient and Accurate KAM Tori Construction for the Dissipative Spin\u2013Orbit Problem Using a Map Reduction","display_name":"Efficient and Accurate KAM Tori Construction for the Dissipative Spin\u2013Orbit Problem Using a Map Reduction","publication_year":2021,"publication_date":"2021-11-27","ids":{"openalex":"https://openalex.org/W3166162485","doi":"https://doi.org/10.1007/s00332-021-09767-5","mag":"3166162485"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-021-09767-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-021-09767-5","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2106.09175","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046360019","display_name":"Renato Calleja","orcid":"https://orcid.org/0000-0002-1034-9025"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Renato Calleja","raw_affiliation_strings":["Department of Mathematics and Mechanics, IIMAS, National Autonomous University of Mexico (UNAM), Apdo. Postal 20-126, C.P. 04510, Mexico, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, IIMAS, National Autonomous University of Mexico (UNAM), Apdo. Postal 20-126, C.P. 04510, Mexico, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089916909","display_name":"Alessandra Celletti","orcid":"https://orcid.org/0000-0001-8315-8433"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandra Celletti","raw_affiliation_strings":["Department of Mathematics, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073073406","display_name":"Joan Gimeno","orcid":"https://orcid.org/0000-0002-8707-6379"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Joan Gimeno","raw_affiliation_strings":["Department of Mathematics, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-8707-6379","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004732229","display_name":"Rafael de la Llave","orcid":"https://orcid.org/0000-0002-0286-6233"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rafael de la Llave","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology, 686 Cherry St., Atlanta, GA, 30332-0160, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, 686 Cherry St., Atlanta, GA, 30332-0160, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046360019"],"corresponding_institution_ids":["https://openalex.org/I8961855"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.7635,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.83891129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"32","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10325","display_name":"Astro and Planetary Science","score":0.9955999851226807,"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"}},"topics":[{"id":"https://openalex.org/T10325","display_name":"Astro and Planetary Science","score":0.9955999851226807,"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"}},{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5204994082450867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48984310030937195},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.47734883427619934},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.4713049829006195},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.4711555242538452},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44293534755706787},{"id":"https://openalex.org/keywords/machine-epsilon","display_name":"Machine epsilon","score":0.440219908952713},{"id":"https://openalex.org/keywords/kolmogorov\u2013arnold\u2013moser-theorem","display_name":"Kolmogorov\u2013Arnold\u2013Moser theorem","score":0.41255348920822144},{"id":"https://openalex.org/keywords/celestial-mechanics","display_name":"Celestial mechanics","score":0.4105852544307709},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39545881748199463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3643094301223755},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3451099991798401},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.29610675573349},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.1773989498615265},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17690879106521606}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5204994082450867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48984310030937195},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.47734883427619934},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.4713049829006195},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.4711555242538452},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44293534755706787},{"id":"https://openalex.org/C203739276","wikidata":"https://www.wikidata.org/wiki/Q1780355","display_name":"Machine epsilon","level":2,"score":0.440219908952713},{"id":"https://openalex.org/C8522634","wikidata":"https://www.wikidata.org/wiki/Q587081","display_name":"Kolmogorov\u2013Arnold\u2013Moser theorem","level":3,"score":0.41255348920822144},{"id":"https://openalex.org/C27638517","wikidata":"https://www.wikidata.org/wiki/Q184274","display_name":"Celestial mechanics","level":2,"score":0.4105852544307709},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39545881748199463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3643094301223755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3451099991798401},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.29610675573349},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.1773989498615265},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17690879106521606},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00332-021-09767-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-021-09767-5","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"},{"id":"pmh:oai:arXiv.org:2106.09175","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.09175","pdf_url":"https://arxiv.org/pdf/2106.09175","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:art.torvergata.it:2108/308240","is_oa":false,"landing_page_url":"https://hdl.handle.net/2108/308240","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2106.09175","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.09175","pdf_url":"https://arxiv.org/pdf/2106.09175","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4094648508","display_name":null,"funder_award_id":"MIUR-PRIN 20177CJA2B","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G4855813001","display_name":null,"funder_award_id":"MIUR-PRIN 20178CJA2B","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G5533986703","display_name":null,"funder_award_id":"CUP E83C18000100006","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G5712420156","display_name":null,"funder_award_id":"734557","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G7253006764","display_name":null,"funder_award_id":"DMS 1800241","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W52347562","https://openalex.org/W53949467","https://openalex.org/W110826557","https://openalex.org/W306903215","https://openalex.org/W1490195013","https://openalex.org/W1618237215","https://openalex.org/W1643002465","https://openalex.org/W1966083435","https://openalex.org/W1969213662","https://openalex.org/W1971183091","https://openalex.org/W1976944765","https://openalex.org/W1982087766","https://openalex.org/W1987206780","https://openalex.org/W1993174579","https://openalex.org/W1995249182","https://openalex.org/W1995922259","https://openalex.org/W1998397211","https://openalex.org/W2008962126","https://openalex.org/W2009094962","https://openalex.org/W2013946715","https://openalex.org/W2026806341","https://openalex.org/W2032069100","https://openalex.org/W2033167869","https://openalex.org/W2048725930","https://openalex.org/W2051982645","https://openalex.org/W2052400674","https://openalex.org/W2064372363","https://openalex.org/W2070917609","https://openalex.org/W2073868859","https://openalex.org/W2074147617","https://openalex.org/W2083203070","https://openalex.org/W2083381683","https://openalex.org/W2086389224","https://openalex.org/W2100126814","https://openalex.org/W2111318856","https://openalex.org/W2126164250","https://openalex.org/W2149060262","https://openalex.org/W2335681000","https://openalex.org/W2389184278","https://openalex.org/W2478429860","https://openalex.org/W2591536464","https://openalex.org/W2752853835","https://openalex.org/W2962785872","https://openalex.org/W2993547202","https://openalex.org/W3007611142","https://openalex.org/W3021014091","https://openalex.org/W3038112447","https://openalex.org/W3124331571","https://openalex.org/W3141151088","https://openalex.org/W3172724430","https://openalex.org/W4211016790","https://openalex.org/W4242126878","https://openalex.org/W4244498116"],"related_works":["https://openalex.org/W658616188","https://openalex.org/W1993990785","https://openalex.org/W2802398441","https://openalex.org/W2004491728","https://openalex.org/W4301104577","https://openalex.org/W2764078091","https://openalex.org/W3159047641","https://openalex.org/W1546177817","https://openalex.org/W4390414309","https://openalex.org/W2915746389"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-06-22T00:00:00"}