{"id":"https://openalex.org/W3022213667","doi":"https://doi.org/10.1142/s0218127420500777","title":"Period-1 Motion to Chaos in a Nonlinear Flexible Rotor System","display_name":"Period-1 Motion to Chaos in a Nonlinear Flexible Rotor System","publication_year":2020,"publication_date":"2020-04-01","ids":{"openalex":"https://openalex.org/W3022213667","doi":"https://doi.org/10.1142/s0218127420500777","mag":"3022213667"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420500777","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500777","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/A5047983461","display_name":"Yeyin Xu","orcid":"https://orcid.org/0000-0001-7379-6976"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I87547150","display_name":"Southern Illinois University Edwardsville","ror":"https://ror.org/04cqs5j56","country_code":"US","type":"education","lineage":["https://openalex.org/I2801502357","https://openalex.org/I87547150"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Yeyin Xu","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62025, USA","Department of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62025, USA","institution_ids":["https://openalex.org/I87547150"]},{"raw_affiliation_string":"Department of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101836213","display_name":"Zhaobo Chen","orcid":"https://orcid.org/0000-0001-7693-6014"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhaobo Chen","raw_affiliation_strings":["Department of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076270155","display_name":"Albert C. J. Luo","orcid":"https://orcid.org/0000-0001-8208-6108"},"institutions":[{"id":"https://openalex.org/I87547150","display_name":"Southern Illinois University Edwardsville","ror":"https://ror.org/04cqs5j56","country_code":"US","type":"education","lineage":["https://openalex.org/I2801502357","https://openalex.org/I87547150"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Albert C. J. Luo","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62025, USA"],"raw_orcid":"https://orcid.org/0000-0001-8208-6108","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62025, USA","institution_ids":["https://openalex.org/I87547150"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101836213"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":1.6373,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.83238297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"30","issue":"05","first_page":"2050077","last_page":"2050077"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9991999864578247,"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9965999722480774,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9904000163078308,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7750008702278137},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.682453453540802},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.6412837505340576},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5771274566650391},{"id":"https://openalex.org/keywords/periodic-function","display_name":"Periodic function","score":0.563164234161377},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5182192921638489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5080780982971191},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41710570454597473},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.37059858441352844},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35758858919143677},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3509160280227661},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1420183777809143}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7750008702278137},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.682453453540802},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.6412837505340576},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5771274566650391},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.563164234161377},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5182192921638489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5080780982971191},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41710570454597473},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37059858441352844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35758858919143677},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3509160280227661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1420183777809143},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127420500777","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500777","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":[{"display_name":"Industry, innovation and infrastructure","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W7313025","https://openalex.org/W89702005","https://openalex.org/W403112863","https://openalex.org/W1533747042","https://openalex.org/W1967682066","https://openalex.org/W1970506745","https://openalex.org/W1970613839","https://openalex.org/W1982287371","https://openalex.org/W2001188498","https://openalex.org/W2007763767","https://openalex.org/W2008707552","https://openalex.org/W2013972821","https://openalex.org/W2020461802","https://openalex.org/W2025178995","https://openalex.org/W2025651992","https://openalex.org/W2028679871","https://openalex.org/W2029280483","https://openalex.org/W2031609366","https://openalex.org/W2044363159","https://openalex.org/W2057761457","https://openalex.org/W2065838142","https://openalex.org/W2069641344","https://openalex.org/W2077265133","https://openalex.org/W2084151109","https://openalex.org/W2142245187","https://openalex.org/W2275890290","https://openalex.org/W2313594821","https://openalex.org/W2487464852","https://openalex.org/W2623828640","https://openalex.org/W2888718147","https://openalex.org/W2917822424","https://openalex.org/W2955588595","https://openalex.org/W3154382517","https://openalex.org/W4229961194"],"related_works":["https://openalex.org/W2143208590","https://openalex.org/W4321135758","https://openalex.org/W2362584470","https://openalex.org/W2703435152","https://openalex.org/W2372419504","https://openalex.org/W2546487931","https://openalex.org/W4214875847","https://openalex.org/W2364686153","https://openalex.org/W2031978906","https://openalex.org/W2978098199"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,12,108,142],"bifurcation":[4,31,46,58,92,116],"tree":[5,32],"of":[6,47,64,67,85,97,111,122,129,137],"period-1":[7,20],"motion":[8],"to":[9,21],"chaos":[10],"in":[11,33,161],"flexible":[13,35],"nonlinear":[14,118,144],"rotor":[15,36,146,162],"system":[16,37],"is":[17],"presented":[18],"through":[19],"period-8":[22],"motions.":[23,150],"Stable":[24],"and":[25,41,45,62,75,157],"unstable":[26],"periodic":[27,49,68,86,99,112,123,130,149],"motions":[28,50,69,77,87,100,113,124,131,160],"on":[29,103,114],"the":[30,34,42,48,57,60,95,104,115,135],"are":[38,51,70,78,88,101,125,132],"achieved":[39],"semi-analytically,":[40],"corresponding":[43],"stability":[44],"analyzed":[52],"by":[53,72,80],"eigenvalue":[54],"analysis.":[55],"On":[56],"tree,":[59,117],"appearance":[61],"vanishing":[63],"jumping":[65],"phenomena":[66],"generated":[71],"saddle-node":[73,105],"bifurcations,":[74],"quasi-periodic":[76],"induced":[79],"Neimark":[81],"bifurcations.":[82],"Period-doubling":[83],"bifurcations":[84],"for":[89,134,164],"developing":[90],"cascaded":[91],"trees,":[93],"however,":[94],"birth":[96],"new":[98],"based":[102],"bifurcation.":[106],"For":[107],"better":[109],"understanding":[110],"harmonic":[119],"amplitude":[120],"characteristics":[121],"presented.":[126],"Numerical":[127],"simulations":[128],"performed":[133],"verification":[136],"semi-analytical":[138],"predictions.":[139],"From":[140],"such":[141],"study,":[143],"Jeffcott":[145],"possesses":[147],"complex":[148,159],"Such":[151],"results":[152],"can":[153],"help":[154],"one":[155],"detect":[156],"control":[158],"systems":[163],"industry.":[165]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}