{"id":"https://openalex.org/W4206963772","doi":"https://doi.org/10.1142/s0218127422500018","title":"Dynamics of a New Multistable 4D Hyperchaotic Lorenz System and Its Applications","display_name":"Dynamics of a New Multistable 4D Hyperchaotic Lorenz System and Its Applications","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4206963772","doi":"https://doi.org/10.1142/s0218127422500018"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127422500018","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422500018","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/A5029884285","display_name":"Gervais Dolvis Leutcho","orcid":"https://orcid.org/0000-0001-8395-4480"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]},{"id":"https://openalex.org/I9736820","display_name":"\u00c9cole de Technologie Sup\u00e9rieure","ror":"https://ror.org/0020snb74","country_code":"CA","type":"education","lineage":["https://openalex.org/I49663120","https://openalex.org/I9736820"]}],"countries":["CA","CM"],"is_corresponding":false,"raw_author_name":"Gervais Dolvis Leutcho","raw_affiliation_strings":["Department of Electrical Engineering, \u00c9cole de Technologie Sup\u00e9rieure (\u00c9TS), Montr\u00e9al, Qu\u00e9bec H3C 1K3, Canada","Research Unit of Laboratory of Condensed Matter, Electronics and Signal Processing (UR-MACETS), Department of Physics, Faculty of Sciences, University of Dschang, 67, Dschang, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, \u00c9cole de Technologie Sup\u00e9rieure (\u00c9TS), Montr\u00e9al, Qu\u00e9bec H3C 1K3, Canada","institution_ids":["https://openalex.org/I9736820"]},{"raw_affiliation_string":"Research Unit of Laboratory of Condensed Matter, Electronics and Signal Processing (UR-MACETS), Department of Physics, Faculty of Sciences, University of Dschang, 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034892782","display_name":"Huihai Wang","orcid":"https://orcid.org/0000-0002-8660-2795"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huihai Wang","raw_affiliation_strings":["School of Physics and Electronics, Central South University, Changsha, Hunan 410083, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-8660-2795","affiliations":[{"raw_affiliation_string":"School of Physics and Electronics, Central South University, Changsha, Hunan 410083, P. R. China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073864992","display_name":"Th\u00e9ophile Fonzin Fozin","orcid":"https://orcid.org/0000-0001-7385-5462"},"institutions":[{"id":"https://openalex.org/I144693123","display_name":"University of Buea","ror":"https://ror.org/041kdhz15","country_code":"CM","type":"education","lineage":["https://openalex.org/I144693123"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Theophile Fonzin Fozin","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Faculty of Engineering and Technology (FET), University of Buea, P.O. Box 63, Buea, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Faculty of Engineering and Technology (FET), University of Buea, P.O. Box 63, Buea, Cameroon","institution_ids":["https://openalex.org/I144693123"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001535567","display_name":"Kehui Sun","orcid":"https://orcid.org/0000-0003-2503-9262"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kehui Sun","raw_affiliation_strings":["School of Physics and Electronics, Central South University, Changsha, Hunan 410083, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Electronics, Central South University, Changsha, Hunan 410083, P. R. China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038624844","display_name":"Zeric Tabekoueng Njitacke","orcid":"https://orcid.org/0000-0001-7797-8929"},"institutions":[{"id":"https://openalex.org/I144693123","display_name":"University of Buea","ror":"https://ror.org/041kdhz15","country_code":"CM","type":"education","lineage":["https://openalex.org/I144693123"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Zeric Tabekoueng Njitacke","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon","institution_ids":["https://openalex.org/I144693123"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079654260","display_name":"Jacques Kengne","orcid":"https://orcid.org/0000-0002-1165-1808"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Jacques Kengne","raw_affiliation_strings":["Research Unit of Laboratory of Automation and Applied Computer (LAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Unit of Laboratory of Automation and Applied Computer (LAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.8811,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.95992091,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"32","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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":0.9995999932289124,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9994000196456909,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9819999933242798,"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/multistability","display_name":"Multistability","score":0.9226498603820801},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7748726606369019},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.7081406116485596},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6920475959777832},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.6681853532791138},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5893794298171997},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.5668471455574036},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5386185050010681},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.5253046154975891},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5228407979011536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5216439366340637},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.49347102642059326},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4877853989601135},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4782378077507019},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38658952713012695},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.32972612977027893},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12575194239616394},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12559595704078674},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12057322263717651},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11806124448776245}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.9226498603820801},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7748726606369019},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.7081406116485596},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6920475959777832},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.6681853532791138},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5893794298171997},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5668471455574036},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5386185050010681},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5253046154975891},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5228407979011536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5216439366340637},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.49347102642059326},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4877853989601135},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4782378077507019},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38658952713012695},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32972612977027893},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12575194239616394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12559595704078674},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12057322263717651},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11806124448776245},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127422500018","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422500018","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":[{"score":0.5899999737739563,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G8453333110","display_name":null,"funder_award_id":"62071496","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8833357837","display_name":"\u5206\u6570\u9636\u6df7\u6c8c\u7cfb\u7edf\u7684\u9690\u85cf\u5438\u5f15\u5b50\u5b9a\u4f4d\u7b97\u6cd5\u3001FPGA\u5b9e\u73b0\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"62061008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W297325920","https://openalex.org/W1448742899","https://openalex.org/W1994325235","https://openalex.org/W2020427565","https://openalex.org/W2028923894","https://openalex.org/W2031668778","https://openalex.org/W2033818077","https://openalex.org/W2042347181","https://openalex.org/W2043964945","https://openalex.org/W2051608440","https://openalex.org/W2090016705","https://openalex.org/W2103748903","https://openalex.org/W2134100806","https://openalex.org/W2141394518","https://openalex.org/W2160307180","https://openalex.org/W2164790531","https://openalex.org/W2165180443","https://openalex.org/W2219180051","https://openalex.org/W2336401120","https://openalex.org/W2337891072","https://openalex.org/W2398544257","https://openalex.org/W2463344096","https://openalex.org/W2496576690","https://openalex.org/W2508584372","https://openalex.org/W2547074366","https://openalex.org/W2551769760","https://openalex.org/W2559760805","https://openalex.org/W2560829432","https://openalex.org/W2580503822","https://openalex.org/W2625699899","https://openalex.org/W2762226578","https://openalex.org/W2763558159","https://openalex.org/W2776204315","https://openalex.org/W2782766913","https://openalex.org/W2790623129","https://openalex.org/W2794531254","https://openalex.org/W2804672834","https://openalex.org/W2804876791","https://openalex.org/W2805013403","https://openalex.org/W2810204480","https://openalex.org/W2883796729","https://openalex.org/W2884050837","https://openalex.org/W2890760471","https://openalex.org/W2903395238","https://openalex.org/W2913419998","https://openalex.org/W2916323064","https://openalex.org/W2918149988","https://openalex.org/W2924825208","https://openalex.org/W2927934081","https://openalex.org/W2964432840","https://openalex.org/W2978973282","https://openalex.org/W2985035892","https://openalex.org/W2992028249","https://openalex.org/W2996481065","https://openalex.org/W2996736447","https://openalex.org/W2998132445","https://openalex.org/W2998830653","https://openalex.org/W3000051678","https://openalex.org/W3005250675","https://openalex.org/W3008337791","https://openalex.org/W3009303030","https://openalex.org/W3011950536","https://openalex.org/W3012366573","https://openalex.org/W3014846463","https://openalex.org/W3016615655","https://openalex.org/W3025074292","https://openalex.org/W3048968476","https://openalex.org/W3082131471"],"related_works":["https://openalex.org/W3155871880","https://openalex.org/W2078315839","https://openalex.org/W4235949306","https://openalex.org/W3158818848","https://openalex.org/W3194656404","https://openalex.org/W3208025994","https://openalex.org/W1626153417","https://openalex.org/W4319917430","https://openalex.org/W2106462131","https://openalex.org/W2043562246"],"abstract_inverted_index":{"Using":[0,22],"an":[1],"effective":[2],"nonlinear":[3],"feedback":[4],"controller,":[5],"a":[6,69,76,79,97,127],"novel":[7],"4D":[8],"hyperchaotic":[9,46,105],"Lorenz":[10,106],"system":[11,107],"is":[12,39,85,108,119],"built.":[13],"Dynamical":[14],"analyses":[15],"show":[16],"that":[17,41],"it":[18,38],"has":[19],"interesting":[20],"properties.":[21],"some":[23],"well-known":[24],"analysis":[25],"tools":[26],"like":[27],"Lyapunov":[28],"spectrum,":[29],"bifurcation":[30],"analysis,":[31],"chaos":[32],"diagram,":[33],"and":[34,78],"phase":[35],"space":[36,65],"trajectories,":[37],"found":[40,61],"several":[42,122],"bifurcations":[43],"enable":[44],"the":[45,51,63,90,93,104,116],"dynamics":[47],"to":[48,88],"occur":[49],"in":[50,62],"introduced":[52],"model.":[53],"Also,":[54],"many":[55],"windows":[56],"of":[57,68,71,75,92,115],"heterogeneous":[58],"multistability":[59],"are":[60],"parameter":[64],"(i.e.":[66],"coexistence":[67,74],"pair":[70],"chaotic":[72,80],"attractors,":[73],"periodic":[77],"attractor).":[81],"Besides,":[82],"DSP":[83],"implementation":[84],"successfully":[86],"used":[87],"support":[89],"results":[91],"theoretical":[94],"prediction.":[95],"Finally,":[96],"judicious":[98],"image":[99,129],"encryption":[100,130],"algorithm":[101],"based":[102],"on":[103],"proposed":[109,117],"with":[110],"detailed":[111],"analysis.":[112],"The":[113],"effectiveness":[114],"approach":[118],"confirmed":[120],"via":[121],"security":[123],"analyses,":[124],"which":[125],"yields":[126],"secure":[128],"application.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
