{"id":"https://openalex.org/W7125284146","doi":"https://doi.org/10.1142/s0218127426500707","title":"Mechanism of a Nonsmooth Bifurcation in a Piecewise Nonlinear Rotor\u2013Stator Rubbing System of the Filippov Type","display_name":"Mechanism of a Nonsmooth Bifurcation in a Piecewise Nonlinear Rotor\u2013Stator Rubbing System of the Filippov Type","publication_year":2026,"publication_date":"2026-01-20","ids":{"openalex":"https://openalex.org/W7125284146","doi":"https://doi.org/10.1142/s0218127426500707"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127426500707","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127426500707","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5123478613","display_name":"Yidan Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yidan Wang","raw_affiliation_strings":["State Key Laboratory for Strength and Vibration, Xi\u2019an Jiaotong University, No. 28, Xianning West Road, Xi\u2019an, Shaanxi 710049, P. R. China"],"raw_orcid":"https://orcid.org/0009-0001-8480-3964","affiliations":[{"raw_affiliation_string":"State Key Laboratory for Strength and Vibration, Xi\u2019an Jiaotong University, No. 28, Xianning West Road, Xi\u2019an, Shaanxi 710049, P. R. China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ling Hong","orcid":"https://orcid.org/0000-0002-2837-9724"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Hong","raw_affiliation_strings":["State Key Laboratory for Strength and Vibration, Xi\u2019an Jiaotong University, No. 28, Xianning West Road, Xi\u2019an, Shaanxi 710049, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-2837-9724","affiliations":[{"raw_affiliation_string":"State Key Laboratory for Strength and Vibration, Xi\u2019an Jiaotong University, No. 28, Xianning West Road, Xi\u2019an, Shaanxi 710049, P. R. China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5123478028","display_name":"Jun Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Jiang","raw_affiliation_strings":["State Key Laboratory for Strength and Vibration, Xi\u2019an Jiaotong University, No. 28, Xianning West Road, Xi\u2019an, Shaanxi 710049, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-4540-0270","affiliations":[{"raw_affiliation_string":"State Key Laboratory for Strength and Vibration, Xi\u2019an Jiaotong University, No. 28, Xianning West Road, Xi\u2019an, Shaanxi 710049, P. R. China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10123538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"06","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.5248000025749207,"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":0.5248000025749207,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.14229999482631683,"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/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.09740000218153,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/bifurcation","display_name":"Bifurcation","score":0.71670001745224},{"id":"https://openalex.org/keywords/rubbing","display_name":"Rubbing","score":0.7074000239372253},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6676999926567078},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.650600016117096},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.6004999876022339},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5666999816894531},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5016000270843506},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.43709999322891235},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43549999594688416}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.71670001745224},{"id":"https://openalex.org/C2777673350","wikidata":"https://www.wikidata.org/wiki/Q7375860","display_name":"Rubbing","level":2,"score":0.7074000239372253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6805999875068665},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6676999926567078},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.650600016117096},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.6004999876022339},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5666999816894531},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.565500020980835},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5016000270843506},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.43709999322891235},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43549999594688416},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.40470001101493835},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3840000033378601},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.3425000011920929},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.34060001373291016},{"id":"https://openalex.org/C171912257","wikidata":"https://www.wikidata.org/wiki/Q11019","display_name":"Mechanical system","level":2,"score":0.30730000138282776},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.3061000108718872},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.3025999963283539},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.29840001463890076},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.29429998993873596},{"id":"https://openalex.org/C2778671503","wikidata":"https://www.wikidata.org/wiki/Q7542110","display_name":"Slow manifold","level":3,"score":0.2924000024795532},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.2924000024795532},{"id":"https://openalex.org/C68827188","wikidata":"https://www.wikidata.org/wiki/Q674533","display_name":"Inverse trigonometric functions","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C181605269","wikidata":"https://www.wikidata.org/wiki/Q497332","display_name":"Jerk","level":3,"score":0.2517000138759613}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127426500707","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127426500707","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4755448367","display_name":"\u6a21\u7cca\u975e\u5149\u6ed1\u7cfb\u7edf\u52a8\u529b\u5b66\u5206\u6790\u65b9\u6cd5\u548c\u73b0\u8c61\u673a\u7406\u7814\u7a76","funder_award_id":"11972274","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8737349405","display_name":null,"funder_award_id":"12172267","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W7313025","https://openalex.org/W1558079603","https://openalex.org/W2002741324","https://openalex.org/W2012069094","https://openalex.org/W2032054018","https://openalex.org/W2034536285","https://openalex.org/W2047449028","https://openalex.org/W2050288396","https://openalex.org/W2055393842","https://openalex.org/W2070448430","https://openalex.org/W2076759249","https://openalex.org/W2085685508","https://openalex.org/W2091645664","https://openalex.org/W2099582132","https://openalex.org/W2138220808","https://openalex.org/W2151370483","https://openalex.org/W2413394129","https://openalex.org/W2560829432","https://openalex.org/W2590290879","https://openalex.org/W2921579187","https://openalex.org/W2942636092","https://openalex.org/W2950687877","https://openalex.org/W2968985806","https://openalex.org/W2975621269","https://openalex.org/W3008420831","https://openalex.org/W3097681093","https://openalex.org/W3134789650","https://openalex.org/W3135383537","https://openalex.org/W3136843970","https://openalex.org/W3150774463","https://openalex.org/W3164731291","https://openalex.org/W3169446332","https://openalex.org/W4220969965","https://openalex.org/W4221036531","https://openalex.org/W4223494807","https://openalex.org/W4238105754","https://openalex.org/W4295539314","https://openalex.org/W4308887401","https://openalex.org/W4321790883","https://openalex.org/W4389392678","https://openalex.org/W4406063074","https://openalex.org/W4406204954"],"related_works":[],"abstract_inverted_index":{"When":[0],"adopting":[1],"a":[2,7,15,40,46,159],"viscous":[3],"friction":[4],"model":[5,187],"in":[6,107,175],"piecewise":[8],"nonlinear":[9,59],"rotor\u2013stator":[10,179],"rubbing":[11,180],"system,":[12],"it":[13,137],"becomes":[14],"Filippov":[16],"system":[17,25,77,85,100,157,181],"with":[18,222],"smoothness":[19],"of":[20,49,71,110,114,144,171,196,204,213],"degree":[21],"one.":[22],"The":[23],"nonautonomous":[24,178],"exhibits":[26],"an":[27,88,102],"interesting":[28],"nonsmooth":[29,73,173,220],"induced":[30,74],"bifurcation":[31,174],"phenomenon,":[32],"that":[33,140],"is,":[34],"as":[35],"the":[36,50,54,58,69,72,76,82,99,108,111,115,119,125,141,145,156,163,169,172,176,185,193,202,211,214],"rotating":[37,83],"speed":[38],"increases,":[39],"quasi-periodic":[41,197,205],"response":[42],"emerges":[43],"just":[44],"after":[45],"periodic":[47,64,207],"orbit":[48],"linear":[51,104,116],"sub-system":[52,60,117],"touches":[53],"switching":[55,121,164],"manifold,":[56],"while":[57],"possesses":[61],"no":[62],"regular":[63],"solution":[65],"nearby.":[66],"To":[67],"investigate":[68],"mechanism":[70,170],"bifurcation,":[75],"is":[78,129,138,182],"first":[79],"transformed":[80],"to":[81,86,97,101],"coordinate":[84],"get":[87],"equivalent":[89,103],"autonomous":[90],"system.":[91],"Then,":[92],"further":[93],"transformations":[94],"are":[95,148],"performed":[96],"transform":[98],"normal":[105],"form":[106],"neighborhood":[109],"boundary":[112],"equilibrium":[113],"on":[118],"straightened":[120],"manifold.":[122,165],"After":[123],"that,":[124],"Poincar\u00e9":[126],"return":[127],"map":[128],"constructed,":[130],"and":[131,134,152,155,206],"through":[132],"numerical":[133],"analytical":[135,216],"methods,":[136],"shown":[139],"tangency":[142],"points":[143],"two":[146],"subsystems":[147],"mostly":[149],"visible\u2013invisible":[150],"folds":[151],"invisible\u2013invisible":[153],"folds,":[154],"generates":[158],"limit":[160],"cycle":[161],"crossing":[162],"Through":[166],"this":[167],"analysis,":[168],"original":[177],"clarified.":[183],"Moreover,":[184],"approximate":[186],"not":[188],"only":[189],"can":[190],"accurately":[191],"predict":[192],"maximum":[194],"amplitude":[195],"responses,":[198],"but":[199],"also":[200],"reveal":[201],"coexistence":[203],"motions.":[208],"This":[209],"highlights":[210],"usefulness":[212],"proposed":[215],"approach":[217],"for":[218],"handling":[219],"systems":[221],"engineering":[223],"relevance.":[224]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2026-01-22T00:00:00"}
