{"id":"https://openalex.org/W2970166586","doi":"https://doi.org/10.1142/s0218127419501244","title":"A Pseudorandom Number Generator Based on a 4D Piecewise Logistic Map with Coupled Parameters","display_name":"A Pseudorandom Number Generator Based on a 4D Piecewise Logistic Map with Coupled Parameters","publication_year":2019,"publication_date":"2019-08-01","ids":{"openalex":"https://openalex.org/W2970166586","doi":"https://doi.org/10.1142/s0218127419501244","mag":"2970166586"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127419501244","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419501244","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/A5052330166","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0002-5247-043X"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong Wang","raw_affiliation_strings":["College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China","Key Laboratory of Electronic Commerce and Logistics, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China","institution_ids":["https://openalex.org/I10535382"]},{"raw_affiliation_string":"Key Laboratory of Electronic Commerce and Logistics, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100346726","display_name":"Zhiqiang Zhang","orcid":"https://orcid.org/0000-0003-0772-7790"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiqiang Zhang","raw_affiliation_strings":["College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100449043","display_name":"Guodong Wang","orcid":"https://orcid.org/0000-0003-0508-826X"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guodong Wang","raw_affiliation_strings":["College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100407381","display_name":"Dong Liu","orcid":"https://orcid.org/0000-0001-9100-2906"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Liu","raw_affiliation_strings":["Key Laboratory of Electronic Commerce and Logistics, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Electronic Commerce and Logistics, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5052330166"],"corresponding_institution_ids":["https://openalex.org/I10535382"],"apc_list":null,"apc_paid":null,"fwci":1.5325,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.86572505,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"29","issue":"09","first_page":"1950124","last_page":"1950124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10244","display_name":"Chaos control and synchronization","score":0.995199978351593,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.8720245361328125},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.8482425808906555},{"id":"https://openalex.org/keywords/logistic-map","display_name":"Logistic map","score":0.8412114381790161},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.777957558631897},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5647528767585754},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5599441528320312},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.48262104392051697},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4547613561153412},{"id":"https://openalex.org/keywords/logistic-distribution","display_name":"Logistic distribution","score":0.43572166562080383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37527889013290405},{"id":"https://openalex.org/keywords/logistic-regression","display_name":"Logistic regression","score":0.32271960377693176},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17031991481781006},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.11376935243606567},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08882337808609009}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.8720245361328125},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.8482425808906555},{"id":"https://openalex.org/C205330730","wikidata":"https://www.wikidata.org/wiki/Q587182","display_name":"Logistic map","level":3,"score":0.8412114381790161},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.777957558631897},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5647528767585754},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5599441528320312},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.48262104392051697},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4547613561153412},{"id":"https://openalex.org/C94465730","wikidata":"https://www.wikidata.org/wiki/Q589603","display_name":"Logistic distribution","level":3,"score":0.43572166562080383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37527889013290405},{"id":"https://openalex.org/C151956035","wikidata":"https://www.wikidata.org/wiki/Q1132755","display_name":"Logistic regression","level":2,"score":0.32271960377693176},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17031991481781006},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.11376935243606567},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08882337808609009},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127419501244","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419501244","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/G2088205222","display_name":null,"funder_award_id":"61472464","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3034810294","display_name":null,"funder_award_id":"2018CDXYJSJ0026","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3522646855","display_name":null,"funder_award_id":"cstc2016jcyjA0103","funder_id":"https://openalex.org/F4320327865","funder_display_name":"Chongqing Research Program of Basic Research and Frontier Technology"},{"id":"https://openalex.org/G756488096","display_name":null,"funder_award_id":"cstc2016jcyjA0276","funder_id":"https://openalex.org/F4320327865","funder_display_name":"Chongqing Research Program of Basic Research and Frontier Technology"},{"id":"https://openalex.org/G8200400753","display_name":null,"funder_award_id":"cstc2017jcyjBX0008","funder_id":"https://openalex.org/F4320327865","funder_display_name":"Chongqing Research Program of Basic Research and Frontier Technology"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327865","display_name":"Chongqing Research Program of Basic Research and Frontier Technology","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":29,"referenced_works":["https://openalex.org/W1059959567","https://openalex.org/W1969286014","https://openalex.org/W2010006328","https://openalex.org/W2016380472","https://openalex.org/W2029044824","https://openalex.org/W2038009493","https://openalex.org/W2045085225","https://openalex.org/W2053001025","https://openalex.org/W2053356947","https://openalex.org/W2152254020","https://openalex.org/W2176627963","https://openalex.org/W2216278026","https://openalex.org/W2223743107","https://openalex.org/W2245076622","https://openalex.org/W2249740901","https://openalex.org/W2341029569","https://openalex.org/W2344050291","https://openalex.org/W2470545832","https://openalex.org/W2471199473","https://openalex.org/W2582390250","https://openalex.org/W2593430120","https://openalex.org/W2724433780","https://openalex.org/W2767875127","https://openalex.org/W2788952862","https://openalex.org/W2794632346","https://openalex.org/W2801893904","https://openalex.org/W2905741893","https://openalex.org/W3105798161","https://openalex.org/W3118084484"],"related_works":["https://openalex.org/W3195812366","https://openalex.org/W4315486073","https://openalex.org/W2970166586","https://openalex.org/W4298162109","https://openalex.org/W1709768198","https://openalex.org/W2149270546","https://openalex.org/W3162446174","https://openalex.org/W2103142077","https://openalex.org/W2390379374","https://openalex.org/W1604966734"],"abstract_inverted_index":{"The":[0,60,95,107],"piecewise":[1,35],"logistic":[2,10,36],"map":[3,37],"(PLM)":[4],"is":[5,13,26,39,73,87,115],"an":[6],"improved":[7],"version":[8],"of":[9,24],"map,":[11],"which":[12,54,72],"specifically":[14],"designed":[15],"for":[16,127],"cryptographic":[17],"application.":[18],"However,":[19],"the":[20,42,77,102,112],"probability":[21,57],"density":[22,58],"distribution":[23],"PLM":[25],"not":[27],"uniform.":[28],"To":[29],"overcome":[30],"this":[31,91],"shortage,":[32],"a":[33,45,50,69,81,125],"parameter-coupled":[34],"(PCPLM)":[38],"presented.":[40],"Using":[41],"PCPLM":[43],"as":[44,124],"basic":[46],"unit,":[47],"we":[48],"construct":[49],"four-dimensional":[51,61,92],"chaotic":[52,62,93],"model,":[53],"has":[55,68],"even":[56],"distribution.":[59],"model":[63],"based":[64,89],"on":[65,90,101],"PCPLMs":[66],"also":[67],"parallel":[70],"structure,":[71],"beneficial":[74],"to":[75],"enhancing":[76],"running":[78],"efficiency.":[79],"Finally,":[80],"novel":[82],"pseudorandom":[83],"number":[84],"generator":[85],"(PRNG)":[86],"presented":[88],"model.":[94],"security":[96],"analysis":[97],"and":[98,117],"simulation":[99],"tests":[100],"proposed":[103,113],"PRNG":[104,114],"are":[105],"performed.":[106],"results":[108],"both":[109],"confirm":[110],"that":[111],"secure":[116],"efficient.":[118],"Therefore,":[119],"it":[120],"can":[121],"be":[122],"used":[123],"candidate":[126],"data":[128],"security.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}