{"id":"https://openalex.org/W3208991172","doi":"https://doi.org/10.1137/21m1392073","title":"Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations","display_name":"Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3208991172","doi":"https://doi.org/10.1137/21m1392073","mag":"3208991172"},"language":"en","primary_location":{"id":"doi:10.1137/21m1392073","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1392073","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/A5024817853","display_name":"Christian Kuehn","orcid":"https://orcid.org/0000-0002-7063-6173"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christian Kuehn","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-7063-6173","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5068653595","display_name":"Kerstin Lux","orcid":"https://orcid.org/0000-0001-8412-2707"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kerstin Lux","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8412-2707","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024817853"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3479,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76554028,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"20","issue":"4","first_page":"2295","last_page":"2334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9516000151634216,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9279000163078308,"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":[{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.7856619358062744},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5844506621360779},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5480039119720459},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5139302611351013},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4742511808872223},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4637957215309143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39755919575691223},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3440679907798767},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.321883887052536},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26045066118240356},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2066483199596405},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.15355399250984192},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09979787468910217}],"concepts":[{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.7856619358062744},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5844506621360779},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5480039119720459},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5139302611351013},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4742511808872223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4637957215309143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39755919575691223},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3440679907798767},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.321883887052536},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26045066118240356},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2066483199596405},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.15355399250984192},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09979787468910217},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1392073","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1392073","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8122284468","display_name":null,"funder_award_id":"820970","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G8275630024","display_name":null,"funder_award_id":"820970","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320882","display_name":"Volkswagen Foundation","ror":"https://ror.org/03bsmfz84"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1579101163","https://openalex.org/W1968705104","https://openalex.org/W1977738976","https://openalex.org/W1986596169","https://openalex.org/W1992712569","https://openalex.org/W1998602905","https://openalex.org/W2012469177","https://openalex.org/W2018159038","https://openalex.org/W2022852240","https://openalex.org/W2023908179","https://openalex.org/W2025138898","https://openalex.org/W2025688933","https://openalex.org/W2028995298","https://openalex.org/W2037662824","https://openalex.org/W2038462690","https://openalex.org/W2040477106","https://openalex.org/W2054080358","https://openalex.org/W2065263105","https://openalex.org/W2070029751","https://openalex.org/W2079605428","https://openalex.org/W2114029332","https://openalex.org/W2116199452","https://openalex.org/W2123487311","https://openalex.org/W2134594333","https://openalex.org/W2134761831","https://openalex.org/W2141394518","https://openalex.org/W2172083831","https://openalex.org/W2176588269","https://openalex.org/W2298956764","https://openalex.org/W2345694874","https://openalex.org/W2944977519","https://openalex.org/W2949678162","https://openalex.org/W3011057319","https://openalex.org/W3049253527","https://openalex.org/W3098464174","https://openalex.org/W3098898981","https://openalex.org/W3099545566","https://openalex.org/W3106525534","https://openalex.org/W3194929382","https://openalex.org/W4231665431","https://openalex.org/W4299587338"],"related_works":["https://openalex.org/W2797263970","https://openalex.org/W2891782306","https://openalex.org/W2287391662","https://openalex.org/W339217817","https://openalex.org/W2971126152","https://openalex.org/W2103244625","https://openalex.org/W2142056387","https://openalex.org/W2789381754","https://openalex.org/W2323720469","https://openalex.org/W2043671984"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2,34],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"15":[17],"January":[18],"2021Accepted:":[19],"02":[20],"August":[21],"2021Published":[22],"online:":[23],"04":[24],"November":[25],"2021Keywordsuncertainty":[26],"propagation,":[27],"Mellin":[28],"transform,":[29],"polynomial":[30],"chaos":[31],"expansion,":[32],"method":[33],"moments,":[35],"Gaussian":[36],"mixture":[37],"models,":[38],"unscented":[39],"transformationAMS":[40],"Subject":[41],"Headings34F10,":[42],"34C20,":[43],"37H10,":[44],"60H35,":[45],"41A58,":[46],"65C50Publication":[47],"DataISSN":[48],"(online):":[49],"1536-0040Publisher:":[50],"Society":[51],"for":[52],"Industrial":[53],"and":[54],"Applied":[55],"MathematicsCODEN:":[56],"sjaday":[57]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-11T08:15:01.531666","created_date":"2025-10-10T00:00:00"}