{"id":"https://openalex.org/W3043271091","doi":"https://doi.org/10.1142/s0218127420501163","title":"A Chaotic Circuit for Producing Gaussian Random Numbers","display_name":"A Chaotic Circuit for Producing Gaussian Random Numbers","publication_year":2020,"publication_date":"2020-06-30","ids":{"openalex":"https://openalex.org/W3043271091","doi":"https://doi.org/10.1142/s0218127420501163","mag":"3043271091"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420501163","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420501163","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/A5081308615","display_name":"J. C. Sprott","orcid":"https://orcid.org/0000-0001-7014-3283"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. C. Sprott","raw_affiliation_strings":["Department of Physics, University of Wisconsin\u2013Madison, Madison, Wisconsin 53706, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Wisconsin\u2013Madison, Madison, Wisconsin 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041161635","display_name":"Wesley Thio","orcid":"https://orcid.org/0000-0002-2075-6716"},"institutions":[{"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":["US"],"is_corresponding":false,"raw_author_name":"W. J. Thio","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109, USA"],"raw_orcid":"https://orcid.org/0000-0002-2075-6716","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081308615"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":0.801,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.70951841,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"30","issue":"08","first_page":"2050116","last_page":"2050116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9970999956130981,"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":0.9970999956130981,"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/T10320","display_name":"Neural Networks and Applications","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/aperiodic-graph","display_name":"Aperiodic graph","score":0.8735040426254272},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.824939489364624},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6489720344543457},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.5663881301879883},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5253469347953796},{"id":"https://openalex.org/keywords/thermostat","display_name":"Thermostat","score":0.5003588199615479},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.472852498292923},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.45919525623321533},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.45672306418418884},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4122128486633301},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.391524076461792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36373454332351685},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3572372496128082},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3451725244522095},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3327038884162903},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.166454017162323},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1330297887325287},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10545924305915833},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10180887579917908},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09511709213256836}],"concepts":[{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.8735040426254272},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.824939489364624},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6489720344543457},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5663881301879883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5253469347953796},{"id":"https://openalex.org/C187819001","wikidata":"https://www.wikidata.org/wiki/Q187665","display_name":"Thermostat","level":2,"score":0.5003588199615479},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.472852498292923},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.45919525623321533},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.45672306418418884},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4122128486633301},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.391524076461792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36373454332351685},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3572372496128082},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3451725244522095},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3327038884162903},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.166454017162323},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1330297887325287},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10545924305915833},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10180887579917908},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09511709213256836},{"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127420501163","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420501163","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W142045744","https://openalex.org/W601637684","https://openalex.org/W1863658077","https://openalex.org/W1991794210","https://openalex.org/W1994859578","https://openalex.org/W2017196167","https://openalex.org/W2027634124","https://openalex.org/W2047121664","https://openalex.org/W2146046397","https://openalex.org/W2228240021","https://openalex.org/W2752853835","https://openalex.org/W2768568968","https://openalex.org/W2892637551","https://openalex.org/W2949854566","https://openalex.org/W4242771130","https://openalex.org/W4300351786"],"related_works":["https://openalex.org/W2090246884","https://openalex.org/W3210163833","https://openalex.org/W2968610876","https://openalex.org/W2124816995","https://openalex.org/W2509835205","https://openalex.org/W1992611485","https://openalex.org/W2009813335","https://openalex.org/W2087001052","https://openalex.org/W3043271091","https://openalex.org/W3101771165"],"abstract_inverted_index":{"One":[0],"of":[1,11,16,19,33],"the":[2,9,17,28,50,65,77],"main":[3],"applications":[4],"for":[5,21],"chaotic":[6,46],"circuits":[7],"is":[8,36,60],"production":[10],"aperiodic":[12],"signals":[13,35,57],"with":[14,76],"many":[15],"characteristics":[18],"noise":[20],"secure":[22],"communications":[23],"and":[24,70],"similar":[25],"uses.":[26],"However,":[27],"probability":[29],"distribution":[30],"function":[31],"(pdf)":[32],"such":[34],"usually":[37],"far":[38],"from":[39,64],"Gaussian.":[40,62],"This":[41],"paper":[42],"describes":[43],"a":[44],"new":[45],"circuit":[47,67],"based":[48],"on":[49],"recently":[51],"proposed":[52],"signum":[53],"thermostat":[54],"that":[55],"produces":[56],"whose":[58],"pdf":[59],"accurately":[61],"Data":[63],"constructed":[66],"are":[68],"analyzed":[69],"shown":[71],"to":[72],"be":[73],"in":[74],"agreement":[75],"theoretical":[78],"prediction.":[79]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
