乐胖代购免代理版

{"id":"https://openalex.org/W2019561017","doi":"https://doi.org/10.1155/2009/590856","title":"The Return Map for a Planar Vector Field with Nilpotent Linear Part: A Direct and Explicit Derivation","display_name":"The Return Map for a Planar Vector Field with Nilpotent Linear Part: A Direct and Explicit Derivation","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2019561017","doi":"https://doi.org/10.1155/2009/590856","mag":"2019561017"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/590856","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2009/590856.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2009/590856.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037075243","display_name":"Rodica D. Costin","orcid":"https://orcid.org/0000-0002-4609-2516"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rodica D. Costin","raw_affiliation_strings":["Ohio State University, Columbus, OH 43210"],"affiliations":[{"raw_affiliation_string":"Ohio State University, Columbus, OH 43210","institution_ids":["https://openalex.org/I52357470"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037075243"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025,"provenance":"doaj"},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025,"provenance":"doaj"},"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":64},"biblio":{"volume":"2009","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":1.0,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9651,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9423,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6472388}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.92411536},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.8006499},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6472388},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5468464},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.5251605},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.44652018},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4463043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43712413},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13043904},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/590856","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2009/590856.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":null,"pdf_url":"http://arxiv.org/pdf/0905.2884v1.pdf","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"http://arxiv.org/abs/0905.2884","pdf_url":null,"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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/590856","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2009/590856.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":24,"referenced_works":["https://openalex.org/W1515307033","https://openalex.org/W1969803026","https://openalex.org/W1983540230","https://openalex.org/W1984122450","https://openalex.org/W1987997039","https://openalex.org/W1991315630","https://openalex.org/W2000286527","https://openalex.org/W2001229497","https://openalex.org/W2020079471","https://openalex.org/W2033540777","https://openalex.org/W2035242097","https://openalex.org/W2060652510","https://openalex.org/W2095158795","https://openalex.org/W2126266600","https://openalex.org/W2143052212","https://openalex.org/W2493746692","https://openalex.org/W2495390877","https://openalex.org/W2499515228","https://openalex.org/W2950549292","https://openalex.org/W32331746","https://openalex.org/W4230182135","https://openalex.org/W4235397231","https://openalex.org/W4292994524","https://openalex.org/W98286333"],"related_works":["https://openalex.org/W4381552820","https://openalex.org/W4306313719","https://openalex.org/W4206327962","https://openalex.org/W3128682647","https://openalex.org/W3103325625","https://openalex.org/W3090727460","https://openalex.org/W2047986527","https://openalex.org/W2041905724","https://openalex.org/W2010009304","https://openalex.org/W1486898455"],"abstract_inverted_index":{"Using":[0],"a":[1,8,11,22,28],"direct":[2],"approach":[3],"the":[4,31,45,52],"return":[5],"map":[6],"near":[7],"focus":[9],"of":[10,30,47],"planar":[12],"vector":[13],"field":[14],"with":[15],"nilpotent":[16],"linear":[17],"part":[18],"is":[19,27,44],"found":[20],"as":[21,58],"convergent":[23],"power":[24],"series":[25],"which":[26],"perturbation":[29],"identity":[32],"and":[33,51],"whose":[34],"terms":[35],"can":[36],"be":[37],"calculated":[38],"iteratively.":[39],"The":[40],"first":[41],"nontrivial":[42],"coefficient":[43],"value":[46],"an":[48],"Abelian":[49],"integral,":[50],"following":[53],"ones":[54],"are":[55],"explicitly":[56],"given":[57],"iterated":[59],"integrals.":[60]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2019561017","counts_by_year":[],"updated_date":"2025-01-17T16:39:28.618112","created_date":"2016-06-24"}