{"id":"https://openalex.org/W2908526752","doi":"https://doi.org/10.1142/s0218127418501729","title":"Dynamical Analysis and Homogenization Process of Unimodal Chaotic Mapping Utilized for Pseudo-Random Sequences","display_name":"Dynamical Analysis and Homogenization Process of Unimodal Chaotic Mapping Utilized for Pseudo-Random Sequences","publication_year":2018,"publication_date":"2018-12-30","ids":{"openalex":"https://openalex.org/W2908526752","doi":"https://doi.org/10.1142/s0218127418501729","mag":"2908526752"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127418501729","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127418501729","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/A5101578854","display_name":"Hui Xu","orcid":"https://orcid.org/0000-0003-0614-7591"},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Xu","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China","School of Rongcheng, Harbin University of Science and Technology, Rongcheng 264300, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Rongcheng, Harbin University of Science and Technology, Rongcheng 264300, P. R. China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113617184","display_name":"Xiaojun Tong","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Jun Tong","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100376455","display_name":"Miao Zhang","orcid":"https://orcid.org/0000-0001-9428-0573"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Miao Zhang","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028874350","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0003-2486-5765"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Liu","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100439573","display_name":"Zhu Wang","orcid":"https://orcid.org/0000-0003-3691-1407"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhu Wang","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2081,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5754298,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"28","issue":"14","first_page":"1850172","last_page":"1850172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9829000234603882,"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":0.9805999994277954,"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/chaotic","display_name":"Chaotic","score":0.8051370978355408},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.7421736121177673},{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.7023378610610962},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6625813841819763},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5865994095802307},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.5242448449134827},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4485182762145996},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3764355182647705},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3593243956565857},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35257700085639954},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0938546359539032},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07073542475700378}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8051370978355408},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.7421736121177673},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.7023378610610962},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6625813841819763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5865994095802307},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5242448449134827},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4485182762145996},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3764355182647705},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3593243956565857},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35257700085639954},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0938546359539032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07073542475700378},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127418501729","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127418501729","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":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327655","display_name":"Foundation of Science and Technology on Information Assurance Laboratory","ror":null},{"id":"https://openalex.org/F4320327728","display_name":"University Nursing Program for Young Scholar with Creative Talents in Heilongjiang Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1742937126","https://openalex.org/W1980037173","https://openalex.org/W1997733248","https://openalex.org/W2007422993","https://openalex.org/W2010006328","https://openalex.org/W2016380472","https://openalex.org/W2056105196","https://openalex.org/W2127766487","https://openalex.org/W2176627963","https://openalex.org/W2233054077","https://openalex.org/W2344050291","https://openalex.org/W2346775071","https://openalex.org/W2399019819","https://openalex.org/W2470545832","https://openalex.org/W2497469380","https://openalex.org/W2516950210","https://openalex.org/W2582390250","https://openalex.org/W2606035138","https://openalex.org/W3116549321","https://openalex.org/W4247481697"],"related_works":["https://openalex.org/W2376906838","https://openalex.org/W1992333303","https://openalex.org/W2781088166","https://openalex.org/W2973136064","https://openalex.org/W2374427492","https://openalex.org/W2782592705","https://openalex.org/W1613857023","https://openalex.org/W2908526752","https://openalex.org/W4235450361","https://openalex.org/W3202432709"],"abstract_inverted_index":{"In":[0,25],"this":[1],"paper,":[2],"a":[3,15,21,33,40,50],"novel":[4],"unimodal":[5],"chaotic":[6,31],"system":[7],"is":[8,37,56],"presented":[9],"which":[10],"has":[11,69],"stable":[12],"Lyapunov":[13],"exponents,":[14],"wider":[16],"range":[17],"of":[18],"parameters":[19],"and":[20,60],"larger":[22],"phase":[23],"space.":[24],"order":[26],"to":[27,72],"generate":[28,45],"evenly":[29],"distributed":[30],"sequences,":[32,49],"general":[34],"homogenization":[35],"scheme":[36,52],"proposed":[38,67],"with":[39,77],"rigorous":[41],"mathematical":[42],"proof.":[43],"To":[44],"high-quality":[46],"pseudo-random":[47],"number":[48],"PRNG":[51,68],"based":[53],"on":[54],"cross-coupling":[55],"designed.":[57],"Theoretical":[58],"derivation":[59],"experimental":[61],"analysis":[62],"fully":[63],"demonstrate":[64],"that":[65],"the":[66,70],"ability":[71],"produce":[73],"high-security":[74],"random":[75,79],"numbers":[76],"excellent":[78],"characteristics.":[80]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
