{"id":"https://openalex.org/W2949881672","doi":"https://doi.org/10.1137/19m1242677","title":"Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems","display_name":"Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2949881672","doi":"https://doi.org/10.1137/19m1242677","mag":"2949881672"},"language":"en","primary_location":{"id":"doi:10.1137/19m1242677","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1242677","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1906.06049","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080683556","display_name":"Ian Lizarraga","orcid":"https://orcid.org/0000-0001-9680-1491"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Ian Lizarraga","raw_affiliation_strings":["University of Sydney"],"affiliations":[{"raw_affiliation_string":"University of Sydney","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089288259","display_name":"Martin Wechselberger","orcid":"https://orcid.org/0000-0003-2681-3440"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Martin Wechselberger","raw_affiliation_strings":["University of Sydney"],"affiliations":[{"raw_affiliation_string":"University of Sydney","institution_ids":["https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080683556"],"corresponding_institution_ids":["https://openalex.org/I129604602"],"apc_list":null,"apc_paid":null,"fwci":0.1332,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.39859795,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"2","first_page":"994","last_page":"1028"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","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/T11513","display_name":"stochastic dynamics and bifurcation","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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9972000122070312,"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":0.9941999912261963,"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/singular-perturbation","display_name":"Singular perturbation","score":0.7856730222702026},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.665981650352478},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6369531750679016},{"id":"https://openalex.org/keywords/slow-manifold","display_name":"Slow manifold","score":0.5116779804229736},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47626349329948425},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4659344553947449},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.44652581214904785},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43532687425613403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42566049098968506},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4060986042022705},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.362322062253952},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2413889765739441},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13755205273628235},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06358829140663147}],"concepts":[{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.7856730222702026},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.665981650352478},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6369531750679016},{"id":"https://openalex.org/C2778671503","wikidata":"https://www.wikidata.org/wiki/Q7542110","display_name":"Slow manifold","level":3,"score":0.5116779804229736},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47626349329948425},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4659344553947449},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.44652581214904785},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43532687425613403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42566049098968506},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4060986042022705},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.362322062253952},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2413889765739441},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13755205273628235},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06358829140663147},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1242677","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1242677","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:arXiv.org:1906.06049","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.06049","pdf_url":"https://arxiv.org/pdf/1906.06049","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2949881672","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1906.06049v1","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1906.06049","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.06049","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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1906.06049","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.06049","pdf_url":"https://arxiv.org/pdf/1906.06049","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1600163843","display_name":null,"funder_award_id":"DP180103022","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2949881672.pdf"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W99189181","https://openalex.org/W200565028","https://openalex.org/W420509224","https://openalex.org/W587121583","https://openalex.org/W934433761","https://openalex.org/W1186454907","https://openalex.org/W1966113499","https://openalex.org/W1971504124","https://openalex.org/W1978806404","https://openalex.org/W1991418841","https://openalex.org/W1993349070","https://openalex.org/W1995843787","https://openalex.org/W2016767879","https://openalex.org/W2020506589","https://openalex.org/W2021117151","https://openalex.org/W2025623727","https://openalex.org/W2044431968","https://openalex.org/W2044484168","https://openalex.org/W2052832898","https://openalex.org/W2053205765","https://openalex.org/W2058343991","https://openalex.org/W2061576464","https://openalex.org/W2075835338","https://openalex.org/W2078769947","https://openalex.org/W2091182946","https://openalex.org/W2100075327","https://openalex.org/W2100897968","https://openalex.org/W2141906015","https://openalex.org/W2154882140","https://openalex.org/W2156669797","https://openalex.org/W2161317287","https://openalex.org/W2169487971","https://openalex.org/W2373471818","https://openalex.org/W2591853258","https://openalex.org/W2612743911","https://openalex.org/W2621042031","https://openalex.org/W2742097411","https://openalex.org/W2786906736","https://openalex.org/W2806055838","https://openalex.org/W2924718128","https://openalex.org/W3008606610","https://openalex.org/W3099448176","https://openalex.org/W3101159300"],"related_works":["https://openalex.org/W2521296092","https://openalex.org/W1969804710","https://openalex.org/W2901785916","https://openalex.org/W2549674475","https://openalex.org/W2091121156","https://openalex.org/W2738220517","https://openalex.org/W1980857616","https://openalex.org/W646401051","https://openalex.org/W2566563741","https://openalex.org/W3125719631","https://openalex.org/W2950534538","https://openalex.org/W1841206708","https://openalex.org/W2929999591","https://openalex.org/W2117247256","https://openalex.org/W2082427843","https://openalex.org/W93911370","https://openalex.org/W161888113","https://openalex.org/W2143086965","https://openalex.org/W2186476638","https://openalex.org/W2008881650"],"abstract_inverted_index":{"The":[0],"computational":[1],"singular":[2],"perturbation":[3],"(CSP)":[4],"method":[5,46,82,101,115],"is":[6,70],"an":[7],"algorithm":[8],"which":[9],"iteratively":[10],"approximates":[11],"slow":[12],"manifolds":[13],"and":[14,27,67,107],"fast":[15],"fibers":[16],"in":[17,50,73,102],"multiple-timescale":[18],"dynamical":[19,75],"systems.":[20],"Since":[21],"its":[22],"inception":[23],"due":[24],"to":[25,58,83],"Lam":[26],"Goussis":[28],"[Twenty-Second":[29],"Symposium":[30],"(International)":[31],"on":[32,116],"Combustion,":[33],"Combustion":[34],"Institute,":[35],"Pittsburgh,":[36],"PA,":[37],"1989,":[38],"pp.":[39],"931--941],":[40],"the":[41,44,59,63,74,80,99,109,114],"convergence":[42],"of":[43,113],"CSP":[45,81,100],"has":[47],"been":[48,56],"explored":[49],"depth;":[51],"however,":[52],"rigorous":[53],"applications":[54],"have":[55],"confined":[57],"standard":[60],"framework,":[61],"where":[62],"separation":[64],"between":[65],"\u201cslow\u201d":[66],"\u201cfast\u201d":[68],"variables":[69],"made":[71],"explicit":[72],"system.":[76],"This":[77],"paper":[78],"adapts":[79],"nonstandard":[84,118],"slow-fast":[85],"systems":[86],"having":[87],"a":[88],"normally":[89],"hyperbolic":[90],"attracting":[91],"critical":[92],"manifold.":[93],"We":[94],"give":[95],"new":[96],"formulas":[97],"for":[98],"this":[103],"more":[104],"general":[105],"context,":[106],"provide":[108],"first":[110],"concrete":[111],"demonstrations":[112],"genuinely":[117],"examples.":[119]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
