{"id":"https://openalex.org/W2613939086","doi":"https://doi.org/10.1007/s00332-017-9388-z","title":"Computation of Quasi-Periodic Normally Hyperbolic Invariant Tori: Algorithms, Numerical Explorations and Mechanisms of Breakdown","display_name":"Computation of Quasi-Periodic Normally Hyperbolic Invariant Tori: Algorithms, Numerical Explorations and Mechanisms of Breakdown","publication_year":2017,"publication_date":"2017-05-08","ids":{"openalex":"https://openalex.org/W2613939086","doi":"https://doi.org/10.1007/s00332-017-9388-z","mag":"2613939086"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-017-9388-z","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_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5084990491","display_name":"Marta Canadell","orcid":null},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"funder","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marta Canadell","raw_affiliation_strings":["ICERM, Brown University, 121 South Main street, Providence, RI, 02903, USA"],"affiliations":[{"raw_affiliation_string":"ICERM, Brown University, 121 South Main street, Providence, RI, 02903, USA","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052725846","display_name":"\u00c0lex Haro","orcid":"https://orcid.org/0000-0003-0377-8099"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"funder","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"\u00c0lex Haro","raw_affiliation_strings":["Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052725846"],"corresponding_institution_ids":["https://openalex.org/I71999127"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.391,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.897147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"27","issue":"6","first_page":"1829","last_page":"1868"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9991,"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":0.9991,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9905,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9752,"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"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.82129467},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.80902183},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5802698},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5692134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5490806},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49066508},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34456578},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2914171},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15456146},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13824522},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.054959327},{"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":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-017-9388-z","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_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation","award_id":"DMS-1500943"},{"funder":"https://openalex.org/F4320321600","funder_display_name":"Departament d'Innovaci\u00f3, Universitats i Empresa, Generalitat de Catalunya","award_id":"2014-SGR-1145"},{"funder":"https://openalex.org/F4320321764","funder_display_name":"Ministerio de Educaci\u00f3n, Cultura y Deporte","award_id":"BES-2010-039663"}],"datasets":[],"versions":[],"referenced_works_count":41,"referenced_works":["https://openalex.org/W1538690802","https://openalex.org/W1546105278","https://openalex.org/W1868276709","https://openalex.org/W192601907","https://openalex.org/W1963992957","https://openalex.org/W1970107727","https://openalex.org/W1976232898","https://openalex.org/W1982087766","https://openalex.org/W1989018928","https://openalex.org/W1990151113","https://openalex.org/W1993430945","https://openalex.org/W2022955929","https://openalex.org/W2023391060","https://openalex.org/W2028429604","https://openalex.org/W2035249073","https://openalex.org/W2037819644","https://openalex.org/W2051982645","https://openalex.org/W2053612038","https://openalex.org/W2055841241","https://openalex.org/W2071398011","https://openalex.org/W2076564717","https://openalex.org/W2081128244","https://openalex.org/W2081510730","https://openalex.org/W2083968850","https://openalex.org/W2086712606","https://openalex.org/W2096616793","https://openalex.org/W2120263695","https://openalex.org/W2138959733","https://openalex.org/W2142065568","https://openalex.org/W2157329634","https://openalex.org/W2163570722","https://openalex.org/W2238114135","https://openalex.org/W2327873314","https://openalex.org/W2332946210","https://openalex.org/W2335681000","https://openalex.org/W2389184278","https://openalex.org/W2564014460","https://openalex.org/W2613178133","https://openalex.org/W2963867109","https://openalex.org/W4236575949","https://openalex.org/W72830797"],"related_works":["https://openalex.org/W4248544590","https://openalex.org/W3197597876","https://openalex.org/W3124916295","https://openalex.org/W2370487582","https://openalex.org/W2167530280","https://openalex.org/W2146447767","https://openalex.org/W2085874053","https://openalex.org/W2022411416","https://openalex.org/W1529020016","https://openalex.org/W1487790116"],"abstract_inverted_index":null,"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2613939086","counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2025-03-22T09:37:06.715902","created_date":"2017-05-19"}