{"id":"https://openalex.org/W2147032080","doi":"https://doi.org/10.1109/tcsii.2013.2296122","title":"Influence of Noise on the Phase and Amplitude of Second-Order Oscillators","display_name":"Influence of Noise on the Phase and Amplitude of Second-Order Oscillators","publication_year":2014,"publication_date":"2014-02-03","ids":{"openalex":"https://openalex.org/W2147032080","doi":"https://doi.org/10.1109/tcsii.2013.2296122","mag":"2147032080"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2013.2296122","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2013.2296122","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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/A5053494231","display_name":"Michele Bonnin","orcid":"https://orcid.org/0000-0002-9106-563X"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]},{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Michele Bonnin","raw_affiliation_strings":["Department of Electronics and Telecommunications, Polytechnic University of Turin, Turin, Italy","Dept. of Electron. & Telecommun., Polytech. Univ. of Turin, Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Polytechnic University of Turin, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun., Polytech. Univ. of Turin, Turin, Italy","institution_ids":["https://openalex.org/I55143463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016472360","display_name":"Fernando Corinto","orcid":"https://orcid.org/0000-0003-4431-5701"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]},{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fernando Corinto","raw_affiliation_strings":["Department of Electronics and Telecommunications, Polytechnic University of Turin, Turin, Italy","Dept. of Electron. & Telecommun., Polytech. Univ. of Turin, Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Polytechnic University of Turin, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun., Polytech. Univ. of Turin, Turin, Italy","institution_ids":["https://openalex.org/I55143463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0867,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.87254547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"61","issue":"3","first_page":"158","last_page":"162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11449","display_name":"Mechanical and Optical Resonators","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11449","display_name":"Mechanical and Optical Resonators","score":0.9998000264167786,"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/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"}},{"id":"https://openalex.org/T11160","display_name":"Acoustic Wave Resonator Technologies","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/phase-noise","display_name":"Phase noise","score":0.7634798288345337},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.7523165941238403},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.7070543766021729},{"id":"https://openalex.org/keywords/oscillator-phase-noise","display_name":"Oscillator phase noise","score":0.6447881460189819},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5651546120643616},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5535024404525757},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5420428514480591},{"id":"https://openalex.org/keywords/quantum-noise","display_name":"Quantum noise","score":0.5236025452613831},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.49213355779647827},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.41303524374961853},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3873021602630615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2659447193145752},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20403382182121277},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.18827280402183533},{"id":"https://openalex.org/keywords/noise-figure","display_name":"Noise figure","score":0.1591741442680359},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0768606960773468}],"concepts":[{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.7634798288345337},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.7523165941238403},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.7070543766021729},{"id":"https://openalex.org/C26571440","wikidata":"https://www.wikidata.org/wiki/Q7106415","display_name":"Oscillator phase noise","level":5,"score":0.6447881460189819},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5651546120643616},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5535024404525757},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5420428514480591},{"id":"https://openalex.org/C111996192","wikidata":"https://www.wikidata.org/wiki/Q7269075","display_name":"Quantum noise","level":3,"score":0.5236025452613831},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.49213355779647827},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.41303524374961853},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3873021602630615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2659447193145752},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20403382182121277},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.18827280402183533},{"id":"https://openalex.org/C112806910","wikidata":"https://www.wikidata.org/wiki/Q746825","display_name":"Noise figure","level":4,"score":0.1591741442680359},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0768606960773468},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"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/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C46362747","wikidata":"https://www.wikidata.org/wiki/Q173431","display_name":"CMOS","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsii.2013.2296122","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2013.2296122","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"},{"id":"pmh:oai:porto.polito.it:2544142","is_oa":false,"landing_page_url":"http://porto.polito.it/2544142/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:1549-7747","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W2001188743","https://openalex.org/W2020100538","https://openalex.org/W2022911541","https://openalex.org/W2029809224","https://openalex.org/W2069493112","https://openalex.org/W2071861249","https://openalex.org/W2078458395","https://openalex.org/W2087992849","https://openalex.org/W2102337730","https://openalex.org/W2108127666","https://openalex.org/W2111079473","https://openalex.org/W2143674393","https://openalex.org/W2150236618","https://openalex.org/W2158906545","https://openalex.org/W2739685101","https://openalex.org/W4238187298"],"related_works":["https://openalex.org/W1596740232","https://openalex.org/W2156253373","https://openalex.org/W2168434283","https://openalex.org/W2143434922","https://openalex.org/W2105611532","https://openalex.org/W2043715255","https://openalex.org/W1771833939","https://openalex.org/W2225810880","https://openalex.org/W3217096146","https://openalex.org/W2145925837"],"abstract_inverted_index":{"We":[0,14,65],"investigate":[1],"noise":[2,18,27,48],"effects":[3],"in":[4,8,19],"second-order":[5],"oscillators":[6],"described":[7],"terms":[9],"of":[10,39,54,61,81],"amplitude":[11,73,85],"and":[12,34,50,69,97],"phase.":[13],"show":[15],"that":[16,92],"phase":[17,32,60,90,100],"an":[20],"oscillator":[21],"is":[22,28,102],"a":[23,40,62,88,103],"convection-diffusion":[24],"problem,":[25],"i.e.,":[26,56],"responsible":[29],"for":[30],"both":[31,46],"diffusion":[33],"frequency":[35,42],"shift.":[36],"The":[37],"magnitude":[38],"noise-induced":[41],"shift":[43],"depends":[44],"on":[45,51],"the":[47,52,59,79,98],"intensity":[49],"curvature":[53],"iscohrons,":[55],"manifolds":[57],"describing":[58],"nonlinear":[63],"oscillator.":[64],"discuss":[66],"this":[67],"dependence":[68],"to":[70],"what":[71],"extent":[72],"fluctuations":[74,86],"can":[75,93],"be":[76,94],"neglected.":[77],"In":[78],"case":[80],"additive":[82],"noise,":[83],"ignoring":[84],"gives":[87],"trivial":[89],"macromodel":[91],"integrated":[95],"directly,":[96],"resulting":[99],"variable":[101],"Gaussian-distributed":[104],"random":[105],"process.":[106]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}