{"id":"https://openalex.org/W2026170005","doi":"https://doi.org/10.1137/100784606","title":"Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing","display_name":"Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2026170005","doi":"https://doi.org/10.1137/100784606","mag":"2026170005"},"language":"en","primary_location":{"id":"doi:10.1137/100784606","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100784606","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/A5057820348","display_name":"Tam\u00e1s Kalm\u00e1r\u2010Nagy","orcid":"https://orcid.org/0000-0003-1374-2620"},"institutions":[{"id":"https://openalex.org/I2801613365","display_name":"Mitchell Institute","ror":"https://ror.org/03ds72003","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2801613365"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tam\u00e1s Kalm\u00e1r-Nagy","raw_affiliation_strings":["Texas A&M University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&M University","institution_ids":["https://openalex.org/I2801613365","https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052163644","display_name":"Pankaj Wahi","orcid":"https://orcid.org/0000-0003-2106-0881"},"institutions":[{"id":"https://openalex.org/I2801613365","display_name":"Mitchell Institute","ror":"https://ror.org/03ds72003","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2801613365"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pankaj Wahi","raw_affiliation_strings":["Texas A&M University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&M University","institution_ids":["https://openalex.org/I2801613365","https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029714029","display_name":"Abhishek Halder","orcid":"https://orcid.org/0000-0002-1509-5853"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Abhishek Halder","raw_affiliation_strings":["Indian Institute of Technology Kanpur \u2028"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Kanpur \u2028","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2412,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.56497487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"2","first_page":"403","last_page":"422"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9995999932289124,"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":0.9991000294685364,"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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.7740473747253418},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.742687463760376},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6036325097084045},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5984728336334229},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5949158072471619},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49663597345352173},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.49455901980400085},{"id":"https://openalex.org/keywords/periodic-function","display_name":"Periodic function","score":0.48751088976860046},{"id":"https://openalex.org/keywords/harmonic-balance","display_name":"Harmonic balance","score":0.4608793556690216},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.4284720718860626},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.41853466629981995},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39686185121536255},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30208277702331543},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.301393985748291},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.21227750182151794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14176595211029053},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05930677056312561}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.7740473747253418},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.742687463760376},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6036325097084045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5984728336334229},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5949158072471619},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49663597345352173},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.49455901980400085},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.48751088976860046},{"id":"https://openalex.org/C121758426","wikidata":"https://www.wikidata.org/wiki/Q5659248","display_name":"Harmonic balance","level":3,"score":0.4608793556690216},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.4284720718860626},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.41853466629981995},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39686185121536255},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30208277702331543},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.301393985748291},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.21227750182151794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14176595211029053},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05930677056312561},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/100784606","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100784606","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:CiteSeerX.psu:10.1.1.661.1469","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.661.1469","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.tamu.edu/%7Eahalder/preprint_SIADS_Hysteresis_2011.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W38868731","https://openalex.org/W74262007","https://openalex.org/W205521308","https://openalex.org/W585465338","https://openalex.org/W595325313","https://openalex.org/W597801117","https://openalex.org/W1501193918","https://openalex.org/W1558079603","https://openalex.org/W1562722544","https://openalex.org/W1562727027","https://openalex.org/W1593811304","https://openalex.org/W1646502038","https://openalex.org/W1972221701","https://openalex.org/W1972735070","https://openalex.org/W1991472824","https://openalex.org/W1994828784","https://openalex.org/W2002775530","https://openalex.org/W2007262731","https://openalex.org/W2012069094","https://openalex.org/W2012141200","https://openalex.org/W2014073895","https://openalex.org/W2027757180","https://openalex.org/W2028955198","https://openalex.org/W2031604902","https://openalex.org/W2033592721","https://openalex.org/W2053129833","https://openalex.org/W2055468478","https://openalex.org/W2055802137","https://openalex.org/W2062427814","https://openalex.org/W2067041088","https://openalex.org/W2075336992","https://openalex.org/W2076884865","https://openalex.org/W2089876099","https://openalex.org/W2089879558","https://openalex.org/W2091260137","https://openalex.org/W2091965884","https://openalex.org/W2102255048","https://openalex.org/W2102622811","https://openalex.org/W2127744240","https://openalex.org/W2129231075","https://openalex.org/W2135495494","https://openalex.org/W2136212580","https://openalex.org/W2138239212","https://openalex.org/W2140987340","https://openalex.org/W2142992681","https://openalex.org/W2144249884","https://openalex.org/W2145383887","https://openalex.org/W2146665795","https://openalex.org/W2152871707","https://openalex.org/W2160163816","https://openalex.org/W2489001267","https://openalex.org/W2979248245","https://openalex.org/W4212928962"],"related_works":["https://openalex.org/W2890492950","https://openalex.org/W2010606039","https://openalex.org/W3115184012","https://openalex.org/W352136236","https://openalex.org/W1999123830","https://openalex.org/W2042800579","https://openalex.org/W944345475","https://openalex.org/W2045215015","https://openalex.org/W2356323067","https://openalex.org/W2363270381"],"abstract_inverted_index":{"The":[0,101],"dynamics":[1],"of":[2,26,52,60,75,81,103,118],"a":[3],"hysteretic":[4],"relay":[5],"oscillator":[6],"with":[7,110],"simple":[8],"harmonic":[9],"forcing":[10,77],"is":[11,45],"studied":[12],"in":[13,23],"this":[14],"paper.":[15],"Even":[16],"though":[17],"there":[18],"are":[19,55],"no":[20],"bounded":[21],"solutions":[22,54,83,93],"the":[24,61,71,76,79,116],"absence":[25],"forcing,":[27],"periodic":[28,82,105],"excitation":[29],"gives":[30],"rise":[31],"to":[32,47],"more":[33],"complex":[34],"responses":[35],"including":[36],"periodic,":[37],"quasi-periodic,":[38],"and":[39,73,112],"chaotic":[40,119],"behavior.":[41],"A":[42],"Poincar\u00e9":[43,62],"map":[44],"introduced":[46],"facilitate":[48],"mathematical":[49],"analysis.":[50],"Families":[51],"period-one":[53],"determined":[56],"as":[57,97],"fixed":[58],"points":[59],"map.":[63],"These":[64],"represent":[65],"coexisting":[66],"subharmonic":[67],"responses.":[68],"Conditions":[69],"on":[70],"amplitude":[72],"frequency":[74],"for":[78],"existence":[80,117],"have":[84],"been":[85],"obtained.":[86],"Linear":[87],"stability":[88],"analysis":[89],"reveals":[90],"that":[91],"these":[92],"can":[94],"be":[95],"classified":[96],"centers":[98],"or":[99,106],"saddles.":[100],"presence":[102],"higher":[104],"quasi-periodic":[107],"motions":[108],"together":[109],"homoclinic":[111],"heteroclinic":[113],"tangles":[114],"implies":[115],"solutions.":[120]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
