{"id":"https://openalex.org/W2542960427","doi":"https://doi.org/10.1109/iwsda.2013.6849064","title":"A study on the Lyapunov exponents of sequences generated by the logistic map over integers","display_name":"A study on the Lyapunov exponents of sequences generated by the logistic map over integers","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2542960427","doi":"https://doi.org/10.1109/iwsda.2013.6849064","mag":"2542960427"},"language":"en","primary_location":{"id":"doi:10.1109/iwsda.2013.6849064","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda.2013.6849064","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Sixth International Workshop on Signal Design and Its Applications in Communications","raw_type":"proceedings-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/A5102345418","display_name":"Takeru Miyazaki","orcid":null},"institutions":[{"id":"https://openalex.org/I17056963","display_name":"The University of Kitakyushu","ror":"https://ror.org/03mfefw72","country_code":"JP","type":"education","lineage":["https://openalex.org/I17056963"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takeru Miyazaki","raw_affiliation_strings":["Faculty of Environmental Engineering, University of Kitakyushu, Kitakyushu, JAPAN"],"affiliations":[{"raw_affiliation_string":"Faculty of Environmental Engineering, University of Kitakyushu, Kitakyushu, JAPAN","institution_ids":["https://openalex.org/I17056963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068268074","display_name":"Chikara Miyazaki","orcid":null},"institutions":[{"id":"https://openalex.org/I17056963","display_name":"The University of Kitakyushu","ror":"https://ror.org/03mfefw72","country_code":"JP","type":"education","lineage":["https://openalex.org/I17056963"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Chikara Miyazaki","raw_affiliation_strings":["Faculty of Environmental Engineering, University of Kitakyushu, Kitakyushu, JAPAN"],"affiliations":[{"raw_affiliation_string":"Faculty of Environmental Engineering, University of Kitakyushu, Kitakyushu, JAPAN","institution_ids":["https://openalex.org/I17056963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029372795","display_name":"Satoshi Uehara","orcid":"https://orcid.org/0000-0002-1467-5047"},"institutions":[{"id":"https://openalex.org/I17056963","display_name":"The University of Kitakyushu","ror":"https://ror.org/03mfefw72","country_code":"JP","type":"education","lineage":["https://openalex.org/I17056963"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Satoshi Uehara","raw_affiliation_strings":["Faculty of Environmental Engineering, University of Kitakyushu, Kitakyushu, JAPAN"],"affiliations":[{"raw_affiliation_string":"Faculty of Environmental Engineering, University of Kitakyushu, Kitakyushu, JAPAN","institution_ids":["https://openalex.org/I17056963"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101085714","display_name":"Shunsuke Araki","orcid":null},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shunsuke Araki","raw_affiliation_strings":["Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Iizuka, JAPAN"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Iizuka, JAPAN","institution_ids":["https://openalex.org/I207014233"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102345418"],"corresponding_institution_ids":["https://openalex.org/I17056963"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.24902658,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"68","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9911999702453613,"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9866999983787537,"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/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.9359359741210938},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.8656569123268127},{"id":"https://openalex.org/keywords/logistic-map","display_name":"Logistic map","score":0.777787446975708},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7249444127082825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6749351024627686},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.5641627311706543},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5192225575447083},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5013055801391602},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3640749156475067},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.360074520111084},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33915531635284424},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22567981481552124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1910160779953003},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13169056177139282},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.1308225691318512},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12328973412513733},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10507172346115112}],"concepts":[{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.9359359741210938},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8656569123268127},{"id":"https://openalex.org/C205330730","wikidata":"https://www.wikidata.org/wiki/Q587182","display_name":"Logistic map","level":3,"score":0.777787446975708},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7249444127082825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6749351024627686},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.5641627311706543},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5192225575447083},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5013055801391602},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3640749156475067},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.360074520111084},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33915531635284424},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22567981481552124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1910160779953003},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13169056177139282},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.1308225691318512},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12328973412513733},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10507172346115112},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iwsda.2013.6849064","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda.2013.6849064","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Sixth International Workshop on Signal Design and Its Applications in Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1497676671","https://openalex.org/W1908336516","https://openalex.org/W1970650503","https://openalex.org/W1980390939","https://openalex.org/W2015451024","https://openalex.org/W2039212042","https://openalex.org/W2046977087","https://openalex.org/W2094397235","https://openalex.org/W2102892532","https://openalex.org/W2109072598","https://openalex.org/W2165983133","https://openalex.org/W6629811437","https://openalex.org/W6639645310"],"related_works":["https://openalex.org/W61644174","https://openalex.org/W3111883714","https://openalex.org/W4285114051","https://openalex.org/W2951182675","https://openalex.org/W2045864300","https://openalex.org/W3111547351","https://openalex.org/W3159256893","https://openalex.org/W2360645529","https://openalex.org/W2542960427","https://openalex.org/W2097466331"],"abstract_inverted_index":{"We":[0],"are":[1],"interested":[2],"in":[3,61],"the":[4,10,16,21,25,29,40,62,69,74],"properties":[5,45],"of":[6,24,39,46,58,73],"sequences":[7,26],"generated":[8,27,63],"by":[9,28],"logistic":[11],"map":[12],"over":[13],"integers.":[14],"In":[15],"present":[17],"paper,":[18],"we":[19,32,66],"give":[20],"Lyapunov":[22],"exponents":[23,41],"map.":[30],"Then,":[31,65],"confirm":[33],"good":[34],"correlations":[35],"between":[36],"a":[37,43],"sign":[38],"and":[42,52,54],"few":[44],"randomness":[47],"such":[48],"as":[49],"averages":[50],"periods":[51],"link-lengths,":[53],"an":[55],"occurrence":[56],"rate":[57],"`0'":[59],"bit":[60],"sequence.":[64,75],"prove":[67],"that":[68],"exponent":[70],"indicates":[71],"stability":[72]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}