{"id":"https://openalex.org/W2010838384","doi":"https://doi.org/10.1103/physreve.68.036123","title":"Observing stochastic resonance in an underdamped bistable Duffing oscillator by the method of moments","display_name":"Observing stochastic resonance in an underdamped bistable Duffing oscillator by the method of moments","publication_year":2003,"publication_date":"2003-09-23","ids":{"openalex":"https://openalex.org/W2010838384","doi":"https://doi.org/10.1103/physreve.68.036123","mag":"2010838384","pmid":"https://pubmed.ncbi.nlm.nih.gov/14524848"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.68.036123","doi":"https://doi.org/10.1103/physreve.68.036123","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.68.036123","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5080869524","display_name":"Yanmei Kang","orcid":"https://orcid.org/0000-0001-8608-9242","observed_orcids":["https://orcid.org/0000-0001-8608-9242","https://orcid.org/0009-0006-4564-6843"]},"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":"Yan-Mei Kang","raw_affiliation_strings":["Institute for Nonlinear Dynamics, School of Architectural Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China. kangyanmei2002@yahoo.com.cn","Institute for Nonlinear Dynamics, School of Architectural Engineering and Mechanics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Nonlinear Dynamics, School of Architectural Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China. kangyanmei2002@yahoo.com.cn","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Institute for Nonlinear Dynamics, School of Architectural Engineering and Mechanics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089689223","display_name":"Jian-Xue Xu","orcid":null,"observed_orcids":[]},"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":true,"raw_author_name":"Jian-Xue Xu","raw_affiliation_strings":["Institute for Nonlinear Dynamics, School of Architectural Engineering and Mechanics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Nonlinear Dynamics, School of Architectural Engineering and Mechanics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081529128","display_name":"Yong Xie","orcid":"https://orcid.org/0000-0001-9005-4173","observed_orcids":["https://orcid.org/0000-0001-9005-4173"]},"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":"Yong Xie","raw_affiliation_strings":["Institute for Nonlinear Dynamics, School of Architectural Engineering and Mechanics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Nonlinear Dynamics, School of Architectural Engineering and Mechanics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5089689223"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.9611,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.7039154,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"68","issue":"3","first_page":"036123","last_page":"036123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":1.0,"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":1.0,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.0,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-resonance","display_name":"stochastic resonance","score":1.0},{"id":"https://openalex.org/keywords/duffing-oscillator","display_name":"Duffing oscillator","score":1.0},{"id":"https://openalex.org/keywords/method-of-moments","display_name":"method of moments","score":0.8600000143051147},{"id":"https://openalex.org/keywords/white-gaussian-noise","display_name":"Gaussian white noise","score":0.9819999933242798},{"id":"https://openalex.org/keywords/fluctuation-dissipation-theorem","display_name":"fluctuation-dissipation theorem","score":0.9929999709129333},{"id":"https://openalex.org/keywords/noise-intensity","display_name":"noise intensity","score":0.7919999957084656},{"id":"https://openalex.org/keywords/nonlinear-parameters","display_name":"nonlinear parameters","score":0.7630000114440918}],"concepts":[{"id":"https://openalex.org/C207658827","wikidata":"https://www.wikidata.org/wiki/Q1999781","display_name":"Stochastic resonance","level":4,"score":0.9124482870101929},{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.9069223403930664},{"id":"https://openalex.org/C132323500","wikidata":"https://www.wikidata.org/wiki/Q675387","display_name":"Duffing equation","level":3,"score":0.7296042442321777},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6645139455795288},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.6035106182098389},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.5652546882629395},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5521588921546936},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5513026714324951},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5231006145477295},{"id":"https://openalex.org/C178201587","wikidata":"https://www.wikidata.org/wiki/Q1434158","display_name":"Fluctuation-dissipation theorem","level":2,"score":0.5151163935661316},{"id":"https://openalex.org/C2777577648","wikidata":"https://www.wikidata.org/wiki/Q584537","display_name":"Langevin equation","level":2,"score":0.48464757204055786},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4815702438354492},{"id":"https://openalex.org/C93038891","wikidata":"https://www.wikidata.org/wiki/Q1061524","display_name":"Intensity (physics)","level":2,"score":0.4434267282485962},{"id":"https://openalex.org/C167020490","wikidata":"https://www.wikidata.org/wiki/Q3457902","display_name":"Nonlinear resonance","level":3,"score":0.4371114671230316},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.4346201717853546},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.41225099563598633},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.29255563020706177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18162938952445984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07712629437446594},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07315763831138611},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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":2,"locations":[{"id":"doi:10.1103/physreve.68.036123","doi":"https://doi.org/10.1103/physreve.68.036123","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.68.036123","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:14524848","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/14524848","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. E, Statistical, nonlinear, and soft matter physics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1965600259","https://openalex.org/W1986317859","https://openalex.org/W1988981497","https://openalex.org/W1990423581","https://openalex.org/W1992510790","https://openalex.org/W1996421999","https://openalex.org/W2002358129","https://openalex.org/W2010081740","https://openalex.org/W2010213984","https://openalex.org/W2011186110","https://openalex.org/W2040480089","https://openalex.org/W2048256528","https://openalex.org/W2048936506","https://openalex.org/W2054430476","https://openalex.org/W2064617097","https://openalex.org/W2065448966","https://openalex.org/W2066414752","https://openalex.org/W2068501389","https://openalex.org/W2068949063","https://openalex.org/W2080979100","https://openalex.org/W2089950234","https://openalex.org/W2095270706","https://openalex.org/W2097752919","https://openalex.org/W2168940146","https://openalex.org/W2169952264","https://openalex.org/W2193048282","https://openalex.org/W2296229624","https://openalex.org/W4211019631"],"related_works":["https://openalex.org/W1965600259","https://openalex.org/W2069188448","https://openalex.org/W2036697575","https://openalex.org/W7052986916","https://openalex.org/W2072861159","https://openalex.org/W7098982100","https://openalex.org/W1492843565","https://openalex.org/W2143273443","https://openalex.org/W3132706620","https://openalex.org/W2368515089"],"abstract_inverted_index":{"The":[0,39],"method":[1],"of":[2,24,42,52,75],"moments":[3],"is":[4],"applied":[5],"to":[6],"an":[7],"underdamped":[8],"bistable":[9],"oscillator":[10],"driven":[11],"by":[12,96],"Gaussian":[13],"white":[14],"noise":[15,64,86],"and":[16,27,57,66,70],"a":[17],"weak":[18],"periodic":[19],"force":[20],"for":[21],"the":[22,28,43,50,53,58,63,67,71,79,85,89,98],"observations":[23],"stochastic":[25,44,76,90],"resonance":[26,45,77],"resulting":[29],"resonant":[30,91],"structures":[31,92],"are":[32,46,81,93],"compared":[33],"with":[34,84],"those":[35],"from":[36],"Langevin":[37],"simulation.":[38],"physical":[40],"mechanisms":[41],"explained":[47],"based":[48],"on":[49],"evolution":[51],"intrawell":[54],"frequency":[55,60],"peak":[56,61],"above-barrier":[59],"via":[62],"intensity":[65,87],"fluctuation-dissipation":[68],"theorem,":[69],"three":[72],"possible":[73],"sources":[74],"in":[78],"system":[80],"confirmed.":[82],"Additionally,":[83],"fixed,":[88],"also":[94],"observed":[95],"adjusting":[97],"nonlinear":[99],"parameter.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2016-06-24T00:00:00"}