{"id":"https://openalex.org/W2094367425","doi":"https://doi.org/10.1137/110859932","title":"The Inner Equation for Generalized Standard Maps","display_name":"The Inner Equation for Generalized Standard Maps","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2094367425","doi":"https://doi.org/10.1137/110859932","mag":"2094367425"},"language":"en","primary_location":{"id":"doi:10.1137/110859932","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110859932","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/A5040674969","display_name":"Inmaculada Baldom\u00e1","orcid":"https://orcid.org/0000-0002-4838-1186"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"I. Baldom\u00e1","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5015646168","display_name":"Pau Mart\u0131\u0301n","orcid":"https://orcid.org/0000-0002-0273-1208"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"P. Mart\u00edn","raw_affiliation_strings":["Polytechnic University of Catalonia"],"affiliations":[{"raw_affiliation_string":"Polytechnic University of Catalonia","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040674969"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7276,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.71391879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"11","issue":"3","first_page":"1062","last_page":"1097"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9991999864578247,"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":0.9991999864578247,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9979000091552734,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7522814273834229},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6519131660461426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5216943621635437},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48281773924827576},{"id":"https://openalex.org/keywords/standard-map","display_name":"Standard map","score":0.4688709080219269},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4601038694381714},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4226938486099243},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18292975425720215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12200331687927246}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7522814273834229},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6519131660461426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5216943621635437},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48281773924827576},{"id":"https://openalex.org/C82229145","wikidata":"https://www.wikidata.org/wiki/Q2257676","display_name":"Standard map","level":3,"score":0.4688709080219269},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4601038694381714},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4226938486099243},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18292975425720215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12200331687927246},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/110859932","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110859932","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.757.6897","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.757.6897","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1206.5623.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W99744796","https://openalex.org/W187041011","https://openalex.org/W1523131750","https://openalex.org/W1912122176","https://openalex.org/W1969829185","https://openalex.org/W1985352864","https://openalex.org/W1993379669","https://openalex.org/W2022248328","https://openalex.org/W2027757180","https://openalex.org/W2034133793","https://openalex.org/W2034543416","https://openalex.org/W2060967580","https://openalex.org/W2061664176","https://openalex.org/W2064641691","https://openalex.org/W2078109764","https://openalex.org/W2083468772","https://openalex.org/W2093441037","https://openalex.org/W2104325526","https://openalex.org/W2109790133","https://openalex.org/W2113136084","https://openalex.org/W2120099124","https://openalex.org/W2122412315","https://openalex.org/W2160163816","https://openalex.org/W2160312535","https://openalex.org/W2165322512","https://openalex.org/W2321325744","https://openalex.org/W3123094903"],"related_works":["https://openalex.org/W2551767278","https://openalex.org/W2000200567","https://openalex.org/W2032587224","https://openalex.org/W3048257686","https://openalex.org/W2353396818","https://openalex.org/W2370473919","https://openalex.org/W4220940968","https://openalex.org/W2046468556","https://openalex.org/W2390496461","https://openalex.org/W2012297237"],"abstract_inverted_index":{"We":[0,28],"study":[1],"particular":[2],"solutions":[3],"of":[4,12,43],"the":[5,10,34,41,47,50],"inner":[6,35],"equation":[7,36],"associated":[8],"with":[9],"splitting":[11,42],"separatrices":[13,44],"on":[14],"generalized":[15],"standard":[16],"maps.":[17],"An":[18],"exponentially":[19],"small":[20],"complete":[21],"expression":[22],"for":[23],"their":[24],"difference":[25],"is":[26],"obtained.":[27],"also":[29],"provide":[30],"numerical":[31],"evidence":[32],"that":[33],"provides":[37],"quantitative":[38],"information":[39],"about":[40],"even":[45],"in":[46],"case":[48],"when":[49],"limit":[51],"flow":[52],"does":[53],"not.":[54]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
