{"id":"https://openalex.org/W598539107","doi":"https://doi.org/10.1137/1.9780898717860","title":"Singular Perturbations and Hysteresis","display_name":"Singular Perturbations and Hysteresis","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W598539107","doi":"https://doi.org/10.1137/1.9780898717860","mag":"598539107"},"language":"en","primary_location":{"id":"doi:10.1137/1.9780898717860","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9780898717860","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"edited-book"},"type":"book","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/A5110121661","display_name":"Michael P. Mortell","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mortell, Michael P.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087251617","display_name":"Robert E. O\u2019Malley","orcid":null},"institutions":[{"id":"https://openalex.org/I3124489027","display_name":"Samara National Research University","ror":"https://ror.org/05ggagb37","country_code":"RU","type":"education","lineage":["https://openalex.org/I3124489027"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"O'Malley, Robert E. 1939-","raw_affiliation_strings":["Samara State University,Samara,Russia"],"affiliations":[{"raw_affiliation_string":"Samara State University,Samara,Russia","institution_ids":["https://openalex.org/I3124489027"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111945577","display_name":"A. V. Pokrovski\u012d","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pokrovskii, Alexei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5055665369","display_name":"Vladimir Sobolev","orcid":"https://orcid.org/0000-0001-7327-7340"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sobolev, Vladimir","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110121661"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4394,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.86770428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13685","display_name":"Material Science and Thermodynamics","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13685","display_name":"Material Science and Thermodynamics","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T13020","display_name":"Heat Transfer and Mathematical Modeling","score":0.942300021648407,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.7638337016105652},{"id":"https://openalex.org/keywords/hysteresis","display_name":"Hysteresis","score":0.6896798610687256},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5973494052886963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5573053956031799},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3803403675556183},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3092558979988098},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.07387182116508484}],"concepts":[{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7638337016105652},{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.6896798610687256},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5973494052886963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5573053956031799},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3803403675556183},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3092558979988098},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.07387182116508484},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1.9780898717860","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9780898717860","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"edited-book"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Life below water","id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Preface":[0],"1.":[1],"A":[2],"naive":[3],"view":[4],"of":[5,56,69,93],"time":[6],"relaxation":[7],"and":[8,12,19,30,49,79,83,101,107,114],"hysteresis":[9,18,106],"A.":[10,31,47,50,59,110],"Pokrovskii":[11],"V.":[13,74,88,97,102],"Sobolev":[14,75,89],"2.":[15],"Frustration":[16],"minimization,":[17],"the":[20],"El":[21,51],"Farol":[22],"problem":[23],"R.":[24,115],"Cross,":[25],"M.":[26],"Grinfeld,":[27],"H.":[28],"Lamba":[29],"Pittock":[32],"3.":[33],"Hysteresis":[34],"in":[35,81],"singularly":[36],"perturbed":[37],"problems":[38],"P.":[39],"Kreji":[40],"4.":[41],"Combined":[42],"asymptotic":[43],"expansions":[44],"E.":[45,86],"Benoit,":[46],"Fruchard":[48],"Hamidi":[52],"5.":[53],"Contrast":[54],"structures":[55],"alternating":[57],"type":[58],"Vasilieva":[60],"6.":[61],"Multi-dimensional":[62],"internal":[63],"layers":[64],"N.":[65],"Nefedov":[66],"7.":[67],"Geometry":[68],"singular":[70],"perturbations:":[71],"critical":[72],"cases":[73],"8.":[76],"Black":[77],"swans":[78],"canards":[80],"laser":[82],"combustion":[84],"models":[85],"Shchepakina,":[87],"9.":[90],"Multi-scale":[91],"analysis":[92],"pressure":[94],"driven":[95],"flames":[96],"Bykov,":[98],"I.":[99],"Goldfarb":[100],"Gol'dshtein":[103],"10.":[104],"Split-hyperbolicity,":[105],"Lang-Kobayashi":[108],"equations":[109],"Pokrovskii,":[111],"O.":[112],"Rasskazov":[113],"Studdert":[116],"Index.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":6}],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2016-06-24T00:00:00"}