{"id":"https://openalex.org/W2884559482","doi":"https://doi.org/10.1142/s0218127418500827","title":"Vibrational Resonance in an Overdamped System with a Fractional Order Potential Nonlinearity","display_name":"Vibrational Resonance in an Overdamped System with a Fractional Order Potential Nonlinearity","publication_year":2018,"publication_date":"2018-06-30","ids":{"openalex":"https://openalex.org/W2884559482","doi":"https://doi.org/10.1142/s0218127418500827","mag":"2884559482"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127418500827","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127418500827","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/A5052653235","display_name":"Jianhua Yang","orcid":"https://orcid.org/0000-0001-5389-9142"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]},{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Jianhua Yang","raw_affiliation_strings":["Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA","Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining and Technology, Xuzhou 221116, P. R. China","School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining and Technology, Xuzhou 221116, P. R. China","institution_ids":["https://openalex.org/I25757504"]},{"raw_affiliation_string":"School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100721095","display_name":"Dawen Huang","orcid":"https://orcid.org/0000-0002-7887-6702"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dawen Huang","raw_affiliation_strings":["School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055264305","display_name":"Miguel A. F. Sanju\u00e1n","orcid":"https://orcid.org/0000-0003-3515-0837"},"institutions":[{"id":"https://openalex.org/I172574986","display_name":"Kaunas University of Technology","ror":"https://ror.org/01me6gb93","country_code":"LT","type":"education","lineage":["https://openalex.org/I172574986"]},{"id":"https://openalex.org/I182083151","display_name":"Universidad Rey Juan Carlos","ror":"https://ror.org/01v5cv687","country_code":"ES","type":"education","lineage":["https://openalex.org/I182083151"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["ES","LT","US"],"is_corresponding":false,"raw_author_name":"Miguel A. F. Sanju\u00e1n","raw_affiliation_strings":["Departamento de F\u00edsica, Universidad Rey Juan Carlos, Tulip\u00e1n s/n, 28933 M\u00f3stoles, Madrid, Spain","Department of Applied Informatics, Kaunas University of Technology, Studentu 50-415, Kaunas LT-51368, Lithuania","Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidad Rey Juan Carlos, Tulip\u00e1n s/n, 28933 M\u00f3stoles, Madrid, Spain","institution_ids":["https://openalex.org/I182083151"]},{"raw_affiliation_string":"Department of Applied Informatics, Kaunas University of Technology, Studentu 50-415, Kaunas LT-51368, Lithuania","institution_ids":["https://openalex.org/I172574986"]},{"raw_affiliation_string":"Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100358887","display_name":"Houguang Liu","orcid":"https://orcid.org/0000-0002-5450-5958"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Houguang Liu","raw_affiliation_strings":["School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechatronic Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China","institution_ids":["https://openalex.org/I25757504"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100721095"],"corresponding_institution_ids":["https://openalex.org/I25757504"],"apc_list":null,"apc_paid":null,"fwci":0.5924,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.66661394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"28","issue":"07","first_page":"1850082","last_page":"1850082"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9979000091552734,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9979000091552734,"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7072612047195435},{"id":"https://openalex.org/keywords/nonlinear-resonance","display_name":"Nonlinear resonance","score":0.7028087973594666},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.7023524045944214},{"id":"https://openalex.org/keywords/resonance","display_name":"Resonance (particle physics)","score":0.6551623940467834},{"id":"https://openalex.org/keywords/excitation","display_name":"Excitation","score":0.5736047029495239},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5599046349525452},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.4895685613155365},{"id":"https://openalex.org/keywords/frequency-response","display_name":"Frequency response","score":0.42071929574012756},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35785195231437683},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3305233120918274},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2652246654033661},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10436680912971497}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7072612047195435},{"id":"https://openalex.org/C167020490","wikidata":"https://www.wikidata.org/wiki/Q3457902","display_name":"Nonlinear resonance","level":3,"score":0.7028087973594666},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.7023524045944214},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.6551623940467834},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.5736047029495239},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5599046349525452},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.4895685613155365},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.42071929574012756},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35785195231437683},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3305233120918274},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2652246654033661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10436680912971497},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127418500827","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127418500827","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/G1857727412","display_name":null,"funder_award_id":"2015XKMS023","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3590738675","display_name":"\u975e\u7ebf\u6027\u7cfb\u7edf\u7684\u53d8\u5c3a\u5ea6\u968f\u673a\u5171\u632f\u4e0e\u632f\u52a8\u5171\u632f\u53ca\u5176\u76f8\u4e92\u4f5c\u7528\u673a\u7406\u7814\u7a76","funder_award_id":"11672325","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"},{"id":"https://openalex.org/F4320327518","display_name":"Priority Academic Program Development of Jiangsu Higher Education Institutions","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1964470901","https://openalex.org/W2000130097","https://openalex.org/W2066437264","https://openalex.org/W2089821732","https://openalex.org/W2107833546","https://openalex.org/W2506998451","https://openalex.org/W2546894064","https://openalex.org/W2626105877","https://openalex.org/W2743014491","https://openalex.org/W2766882762","https://openalex.org/W2782773133","https://openalex.org/W2998789246","https://openalex.org/W4242682534","https://openalex.org/W4248089615"],"related_works":["https://openalex.org/W2378144122","https://openalex.org/W2039570825","https://openalex.org/W2018520628","https://openalex.org/W646655186","https://openalex.org/W2567443352","https://openalex.org/W2075891649","https://openalex.org/W2067887827","https://openalex.org/W2882124105","https://openalex.org/W70270430","https://openalex.org/W2415111320"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,6,32,43,57,71,88,91,100,105,110,115,118,121,134,144,149,158,161,165,178,186,189],"vibrational":[3,36,50,106,128],"resonance":[4,37,51,107,166],"by":[5,56,171],"numerical":[7,81,190],"simulation":[8],"and":[9,64,123],"theoretical":[10,72,182],"analysis":[11,73,183],"in":[12,30,75,133,143,197],"an":[13],"overdamped":[14,116],"system":[15,136],"with":[16,28,78,87],"fractional":[17,25,44,92],"order":[18],"potential":[19],"nonlinearities.":[20],"The":[21,46,67,83,97,130,181,192],"nonlinearity":[22,119,150],"is":[23,54,120,137,151],"a":[24,153,173],"power":[26],"function":[27],"deflection,":[29],"which":[31],"response":[33,47,84,112,131,159],"amplitude":[34,48,85,98,132],"presents":[35],"phenomenon":[38],"for":[39,94],"any":[40],"value":[41],"of":[42,49,59,62,80,90,99,188],"exponent.":[45],"at":[52],"low-frequency":[53,162],"deduced":[55],"method":[58],"direct":[60],"separation":[61],"slow":[63],"fast":[65],"motions.":[66],"results":[68,193],"derived":[69],"from":[70],"are":[74],"good":[76],"agreement":[77],"those":[79],"simulation.":[82,191],"decreases":[86],"increase":[89],"exponent":[93],"weak":[95,198],"excitations.":[96],"high-frequency":[101],"excitation":[102,175],"can":[103],"induce":[104,127],"to":[108,126,156,160],"achieve":[109],"optimal":[111],"amplitude.":[113],"For":[114],"systems,":[117],"crucial":[122],"necessary":[124],"condition":[125],"resonance.":[129],"nonlinear":[135,179],"usually":[138],"not":[139,152],"larger":[140],"than":[141],"that":[142],"corresponding":[145],"linear":[146],"system.":[147,180],"Hence,":[148],"sufficient":[154],"factor":[155],"amplify":[157],"excitation.":[163],"Furthermore,":[164],"may":[167],"be":[168,195],"also":[169],"induced":[170],"only":[172],"single":[174],"acting":[176],"on":[177],"further":[184],"proves":[185],"correctness":[187],"might":[194],"valuable":[196],"signal":[199],"processing.":[200]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"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"}
