{"id":"https://openalex.org/W4388464708","doi":"https://doi.org/10.1137/21m1420733","title":"Hysteresis and Stability","display_name":"Hysteresis and Stability","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4388464708","doi":"https://doi.org/10.1137/21m1420733"},"language":"en","primary_location":{"id":"doi:10.1137/21m1420733","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1420733","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","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/A5021529225","display_name":"Amenda Chow","orcid":"https://orcid.org/0000-0003-4768-3139"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Amenda N. Chow","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4768-3139","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049638450","display_name":"Kirsten Morris","orcid":"https://orcid.org/0000-0003-1311-9230"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kirsten A. Morris","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1311-9230","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5035306843","display_name":"Gina Faraj Rabbah","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gina F. Rabbah","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6425,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64846962,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"65","issue":"4","first_page":"1171","last_page":"1184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9889000058174133,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9889000058174133,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.982699990272522,"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/hysteresis","display_name":"Hysteresis","score":0.7837376594543457},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.7137504816055298},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5690368413925171},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5410169363021851},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5200038552284241},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.4900909662246704},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48166000843048096},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4715965688228607},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.44423675537109375},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4009312391281128},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.40037107467651367},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37983185052871704},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3298182487487793},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.23624065518379211},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20337867736816406},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16328614950180054},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07988262176513672},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06754961609840393}],"concepts":[{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.7837376594543457},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.7137504816055298},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5690368413925171},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5410169363021851},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5200038552284241},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.4900909662246704},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48166000843048096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4715965688228607},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.44423675537109375},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4009312391281128},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.40037107467651367},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37983185052871704},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3298182487487793},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.23624065518379211},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20337867736816406},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16328614950180054},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07988262176513672},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06754961609840393},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1420733","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1420733","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W587631134","https://openalex.org/W1596321532","https://openalex.org/W1968880746","https://openalex.org/W1970661255","https://openalex.org/W1974601534","https://openalex.org/W1983160199","https://openalex.org/W1986733669","https://openalex.org/W1990883965","https://openalex.org/W1998360149","https://openalex.org/W2005684308","https://openalex.org/W2020358125","https://openalex.org/W2021468335","https://openalex.org/W2054609148","https://openalex.org/W2060040122","https://openalex.org/W2063268016","https://openalex.org/W2070179577","https://openalex.org/W2078572607","https://openalex.org/W2093803812","https://openalex.org/W2117812638","https://openalex.org/W2140525274","https://openalex.org/W2154246822","https://openalex.org/W2159862980","https://openalex.org/W2475444157","https://openalex.org/W2493871338","https://openalex.org/W2516347252","https://openalex.org/W2535051006","https://openalex.org/W2615685188","https://openalex.org/W2740934368","https://openalex.org/W2773617989","https://openalex.org/W2906722932","https://openalex.org/W2922296561","https://openalex.org/W2963282459","https://openalex.org/W3138277468","https://openalex.org/W3210107838","https://openalex.org/W4211075669","https://openalex.org/W4237997615","https://openalex.org/W4292994524","https://openalex.org/W4300057883"],"related_works":["https://openalex.org/W2382566571","https://openalex.org/W2349321798","https://openalex.org/W2366686860","https://openalex.org/W2350859087","https://openalex.org/W2387118502","https://openalex.org/W4233775131","https://openalex.org/W2158418060","https://openalex.org/W4323927134","https://openalex.org/W2129026697","https://openalex.org/W2043671984"],"abstract_inverted_index":{"A":[0],"common":[1],"definition":[2],"of":[3,9,12,21,72,111],"hysteresis":[4,35,45,115],"is":[5,46,65],"that":[6,49],"the":[7,10,13,19,22,85],"graph":[8],"state":[11],"system":[14,23],"displays":[15],"looping":[16],"behavior":[17],"as":[18,36],"input":[20],"varies.":[24],"Alternatively,":[25],"a":[26,37,47,59,109],"dynamical":[27,60],"systems":[28,61],"perspective":[29],"can":[30,50,89],"be":[31,51,90],"used":[32,52,91],"to":[33,53,83,92],"define":[34],"phenomenon":[38],"arising":[39],"from":[40],"multiple":[41],"equilibrium":[42],"points.":[43],"Consequently,":[44],"topic":[48],"illustrate":[54],"and":[55,96],"extend":[56],"concepts":[57],"in":[58,67,102,116],"course.":[62],"The":[63,87,105],"concept":[64],"illustrated":[66],"this":[68],"paper":[69,106],"through":[70],"examples":[71,88],"ordinary":[73],"differential":[74,118],"equations,":[75],"most":[76],"motivated":[77],"by":[78],"applications.":[79],"Simulations":[80],"are":[81,100],"presented":[82],"complement":[84],"analysis.":[86],"construct":[93],"student":[94],"exercises,":[95],"specific":[97],"additional":[98],"questions":[99],"listed":[101],"an":[103],"appendix.":[104],"concludes":[107],"with":[108],"discussion":[110],"possible":[112],"extensions,":[113],"including":[114],"partial":[117],"equations.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}