{"id":"https://openalex.org/W4410245308","doi":"https://doi.org/10.1137/23m1599318","title":"Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori","display_name":"Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori","publication_year":2025,"publication_date":"2025-05-09","ids":{"openalex":"https://openalex.org/W4410245308","doi":"https://doi.org/10.1137/23m1599318"},"language":"en","primary_location":{"id":"doi:10.1137/23m1599318","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1599318","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/A5043138551","display_name":"Zaid Ahsan","orcid":"https://orcid.org/0000-0001-6436-2316"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zaid Ahsan","raw_affiliation_strings":["Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA, and Department of Mechanical Engineering, University of Maryland, College Park, MD 20742 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA, and Department of Mechanical Engineering, University of Maryland, College Park, MD 20742 USA","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076745658","display_name":"Harry Dankowicz","orcid":"https://orcid.org/0000-0002-6764-8915"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Harry Dankowicz","raw_affiliation_strings":["Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA, and Department of Mechanical Engineering, University of Maryland, College Park, MD 20742 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA, and Department of Mechanical Engineering, University of Maryland, College Park, MD 20742 USA","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024817853","display_name":"Christian Kuehn","orcid":"https://orcid.org/0000-0002-7063-6173"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Kuehn","raw_affiliation_strings":["Faculty of Mathematics, Technical University of Munich, Boltzmannstr.\u00a03, 85748 Garching bei M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Technical University of Munich, Boltzmannstr.\u00a03, 85748 Garching bei M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043138551"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11031054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"2","first_page":"1455","last_page":"1493"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9983999729156494,"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":0.9983999729156494,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9783999919891357,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11524","display_name":"Advanced Aircraft Design and Technologies","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.6685007810592651},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6436756253242493},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5325295925140381},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5187056660652161},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.4718729853630066},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38328123092651367},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33526158332824707},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26761746406555176},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.25216978788375854},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09891799092292786}],"concepts":[{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.6685007810592651},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6436756253242493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5325295925140381},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5187056660652161},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.4718729853630066},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38328123092651367},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33526158332824707},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26761746406555176},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25216978788375854},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09891799092292786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1599318","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1599318","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":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320882","display_name":"Volkswagen Foundation","ror":"https://ror.org/03bsmfz84"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W567289629","https://openalex.org/W627107180","https://openalex.org/W1826745533","https://openalex.org/W1856394478","https://openalex.org/W1964005000","https://openalex.org/W1991919980","https://openalex.org/W1995604774","https://openalex.org/W2065050570","https://openalex.org/W2076273493","https://openalex.org/W2076564717","https://openalex.org/W2079035073","https://openalex.org/W2079521041","https://openalex.org/W2082206989","https://openalex.org/W2086117591","https://openalex.org/W2114154589","https://openalex.org/W2133342177","https://openalex.org/W2413395736","https://openalex.org/W2588810965","https://openalex.org/W2605680630","https://openalex.org/W2625896131","https://openalex.org/W2795666523","https://openalex.org/W2963744583","https://openalex.org/W2963886309","https://openalex.org/W2965850605","https://openalex.org/W3021035629","https://openalex.org/W3037538448","https://openalex.org/W3081993356","https://openalex.org/W3083703724","https://openalex.org/W3098298024","https://openalex.org/W3102890982","https://openalex.org/W3115447629","https://openalex.org/W3134220909","https://openalex.org/W3154268914","https://openalex.org/W3162680230","https://openalex.org/W3200090953","https://openalex.org/W4205261691","https://openalex.org/W4220713591","https://openalex.org/W4225627411","https://openalex.org/W4307870775","https://openalex.org/W4312294621","https://openalex.org/W4313017177","https://openalex.org/W4377138263"],"related_works":["https://openalex.org/W2167530280","https://openalex.org/W3124916295","https://openalex.org/W2022411416","https://openalex.org/W2146447767","https://openalex.org/W1487790116","https://openalex.org/W3197597876","https://openalex.org/W4248544590","https://openalex.org/W4396520414","https://openalex.org/W2357858433","https://openalex.org/W2110484224"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
