{"id":"https://openalex.org/W4309705207","doi":"https://doi.org/10.3390/inventions7040108","title":"Hidden Dynamics Investigation, Fast Adaptive Synchronization, and Chaos-Based Secure Communication Scheme of a New 3D Fractional-Order Chaotic System","display_name":"Hidden Dynamics Investigation, Fast Adaptive Synchronization, and Chaos-Based Secure Communication Scheme of a New 3D Fractional-Order Chaotic System","publication_year":2022,"publication_date":"2022-11-21","ids":{"openalex":"https://openalex.org/W4309705207","doi":"https://doi.org/10.3390/inventions7040108"},"language":"en","primary_location":{"id":"doi:10.3390/inventions7040108","doi":"https://doi.org/10.3390/inventions7040108","is_oa":true,"landing_page_url":"https://doi.org/10.3390/inventions7040108","pdf_url":"https://www.mdpi.com/2411-5134/7/4/108/pdf?version=1669195378","source":{"id":"https://openalex.org/S4210172385","display_name":"Inventions","issn_l":"2411-5134","issn":["2411-5134"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Inventions","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2411-5134/7/4/108/pdf?version=1669195378","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062284046","display_name":"Zain-Aldeen S. A. Rahman","orcid":"https://orcid.org/0000-0003-4408-2733","observed_orcids":["https://orcid.org/0000-0003-4408-2733"]},"institutions":[{"id":"https://openalex.org/I126633494","display_name":"University of Basrah","ror":"https://ror.org/00840ea57","country_code":"IQ","type":"education","lineage":["https://openalex.org/I126633494"]},{"id":"https://openalex.org/I4210145266","display_name":"Southern Technical University","ror":"https://ror.org/03sax3264","country_code":"IQ","type":"education","lineage":["https://openalex.org/I4210145266"]}],"countries":["IQ"],"is_corresponding":true,"raw_author_name":"Zain-Aldeen S. A. Rahman","raw_affiliation_strings":["Department of Electrical Engineering, College of Engineering, University of Basrah, Basra 61004, Iraq","Department of Electrical Techniques, Technical Institute/Qurna, Southern Technical University, Basra 61004, Iraq"],"raw_orcid":"https://orcid.org/0000-0003-4408-2733","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, University of Basrah, Basra 61004, Iraq","institution_ids":["https://openalex.org/I126633494"]},{"raw_affiliation_string":"Department of Electrical Techniques, Technical Institute/Qurna, Southern Technical University, Basra 61004, Iraq","institution_ids":["https://openalex.org/I4210145266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052124051","display_name":"Basil H. Jasim","orcid":"https://orcid.org/0000-0002-1280-8918","observed_orcids":["https://orcid.org/0000-0002-1280-8918"]},"institutions":[{"id":"https://openalex.org/I126633494","display_name":"University of Basrah","ror":"https://ror.org/00840ea57","country_code":"IQ","type":"education","lineage":["https://openalex.org/I126633494"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Basil H. Jasim","raw_affiliation_strings":["Department of Electrical Engineering, College of Engineering, University of Basrah, Basra 61004, Iraq"],"raw_orcid":"https://orcid.org/0000-0002-1280-8918","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, University of Basrah, Basra 61004, Iraq","institution_ids":["https://openalex.org/I126633494"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062284046"],"corresponding_institution_ids":["https://openalex.org/I126633494","https://openalex.org/I4210145266"],"apc_list":{"value":1500,"currency":"CHF","value_usd":1571},"apc_paid":{"value":1500,"currency":"CHF","value_usd":1571},"fwci":0.6504,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.60045662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":"4","first_page":"108","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9951000213623047,"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":0.9951000213623047,"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":0.0031999999191612005,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractional-order-chaotic-systems","display_name":"fractional-order chaotic systems","score":0.9300000071525574},{"id":"https://openalex.org/keywords/hidden-chaotic-attractors","display_name":"hidden chaotic attractors","score":0.8880000114440918},{"id":"https://openalex.org/keywords/chaos-synchronization","display_name":"chaos synchronization","score":0.8899999856948853},{"id":"https://openalex.org/keywords/adaptive-synchronization","display_name":"adaptive synchronization","score":0.7960000038146973},{"id":"https://openalex.org/keywords/parameter-estimation","display_name":"parameter estimation","score":0.6269999742507935},{"id":"https://openalex.org/keywords/chaos-based-secure-communication","display_name":"chaos-based secure communication","score":0.9390000104904175},{"id":"https://openalex.org/keywords/chaotic-dynamics","display_name":"chaotic dynamics","score":0.328000009059906},{"id":"https://openalex.org/keywords/lyapunov-exponents","display_name":"Lyapunov exponents","score":0.8759999871253967},{"id":"https://openalex.org/keywords/bifurcation-analysis","display_name":"bifurcation analysis","score":0.925000011920929}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8230401277542114},{"id":"https://openalex.org/C510870077","wikidata":"https://www.wikidata.org/wiki/Q7444868","display_name":"Secure communication","level":3,"score":0.715203583240509},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6965214014053345},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.6630446910858154},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6399824023246765},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6030681133270264},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5791233777999878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5099116563796997},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48033133149147034},{"id":"https://openalex.org/C101765175","wikidata":"https://www.wikidata.org/wiki/Q577764","display_name":"Communications system","level":2,"score":0.4329460859298706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39944279193878174},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.23901042342185974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10841348767280579},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1004178524017334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09759780764579773},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09679970145225525},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08792197704315186},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.07098051905632019},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/inventions7040108","doi":"https://doi.org/10.3390/inventions7040108","is_oa":true,"landing_page_url":"https://doi.org/10.3390/inventions7040108","pdf_url":"https://www.mdpi.com/2411-5134/7/4/108/pdf?version=1669195378","source":{"id":"https://openalex.org/S4210172385","display_name":"Inventions","issn_l":"2411-5134","issn":["2411-5134"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Inventions","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2889a681f1b444b0aee9e41dad13afbb","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/2889a681f1b444b0aee9e41dad13afbb","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Inventions, Vol 7, Iss 4, p 108 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/inventions7040108","doi":"https://doi.org/10.3390/inventions7040108","is_oa":true,"landing_page_url":"https://doi.org/10.3390/inventions7040108","pdf_url":"https://www.mdpi.com/2411-5134/7/4/108/pdf?version=1669195378","source":{"id":"https://openalex.org/S4210172385","display_name":"Inventions","issn_l":"2411-5134","issn":["2411-5134"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Inventions","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4309705207.pdf","grobid_xml":"https://content.openalex.org/works/W4309705207.grobid-xml"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W56496939","https://openalex.org/W577449674","https://openalex.org/W1448742899","https://openalex.org/W1998630995","https://openalex.org/W2020863265","https://openalex.org/W2060759080","https://openalex.org/W2126459582","https://openalex.org/W2166583775","https://openalex.org/W2365077907","https://openalex.org/W2476959674","https://openalex.org/W2482689398","https://openalex.org/W2518475751","https://openalex.org/W2587550986","https://openalex.org/W2588343239","https://openalex.org/W2591054727","https://openalex.org/W2593904818","https://openalex.org/W2602311610","https://openalex.org/W2613369845","https://openalex.org/W2768426991","https://openalex.org/W2789789392","https://openalex.org/W2790252648","https://openalex.org/W2795694083","https://openalex.org/W2800541977","https://openalex.org/W2884813861","https://openalex.org/W2924155872","https://openalex.org/W2925828089","https://openalex.org/W2937906878","https://openalex.org/W2953385913","https://openalex.org/W2954911682","https://openalex.org/W2969031227","https://openalex.org/W2970283194","https://openalex.org/W2972296422","https://openalex.org/W2981216391","https://openalex.org/W2988930737","https://openalex.org/W3002742250","https://openalex.org/W3025074292","https://openalex.org/W3029121897","https://openalex.org/W3030986925","https://openalex.org/W3036193678","https://openalex.org/W3045975781","https://openalex.org/W3082126377","https://openalex.org/W3119536910","https://openalex.org/W3121772643","https://openalex.org/W3123405445","https://openalex.org/W3127600158","https://openalex.org/W3130192503","https://openalex.org/W3130615134","https://openalex.org/W3131627768","https://openalex.org/W3135771700","https://openalex.org/W3138829296","https://openalex.org/W3146818191","https://openalex.org/W3160147569","https://openalex.org/W3175489599","https://openalex.org/W3176040081","https://openalex.org/W3176949319","https://openalex.org/W3178866630","https://openalex.org/W4200446594","https://openalex.org/W4224295738","https://openalex.org/W4229335779","https://openalex.org/W4230447396","https://openalex.org/W4238537069","https://openalex.org/W4245105512","https://openalex.org/W4308197777","https://openalex.org/W6683832458"],"related_works":["https://openalex.org/W3206845941","https://openalex.org/W2902436375","https://openalex.org/W3160147569","https://openalex.org/W3004357993","https://openalex.org/W3212838160","https://openalex.org/W2350818019","https://openalex.org/W3095780625","https://openalex.org/W3013618612","https://openalex.org/W3048578789","https://openalex.org/W2760997647"],"abstract_inverted_index":{"In":[0,93],"this":[1,40,156],"paper,":[2],"a":[3],"new":[4,15,41,72,81],"fractional-order":[5,158],"chaotic":[6,20,24,45,159],"system":[7,16,30,160,168],"containing":[8],"several":[9],"nonlinearity":[10],"terms":[11],"is":[12,84,90,169],"introduced.":[13],"This":[14],"can":[17],"excite":[18],"hidden":[19],"attractors":[21,25],"or":[22,32],"self-excited":[23],"depending":[26],"on":[27],"the":[28,85,88,91,99,124,130,143,152],"chosen":[29],"parameters":[31,102],"its":[33],"fraction-order":[34],"derivative":[35],"value.":[36],"Several":[37],"dynamics":[38],"of":[39,78,154],"system,":[42],"such":[43],"as":[44,123],"attractors,":[46],"equilibrium":[47],"points,":[48],"Lyapunov":[49],"exponents,":[50],"and":[51,57,87,112,126,139],"bifurcation":[52],"diagrams,":[53],"are":[54,63,103,116],"analyzed":[55,136],"analytically":[56],"numerically.":[58],"Then,":[59],"adaptive":[60],"control":[61],"laws":[62,96],"developed":[64],"to":[65,121,141,173],"achieve":[66],"chaos":[67,107],"synchronization":[68],"in":[69,106,118,161],"two":[70,80],"identical":[71,82],"systems":[73,83,115],"with":[74],"uncertain":[75,100],"parameters;":[76],"one":[77],"these":[79,110],"master,":[86],"other":[89],"slave.":[92],"addition,":[94],"update":[95],"for":[97],"estimating":[98],"slave":[101,113],"derived.":[104],"Furthermore,":[105],"application":[108],"fields,":[109],"master":[111],"synchronized":[114],"applied":[117],"secure":[119],"communication":[120,144,163,167],"act":[122],"transmitter":[125],"receiver,":[127],"respectively.":[128],"Finally,":[129],"security":[131,146],"analysis":[132],"metric":[133],"tests":[134],"were":[135],"using":[137,155],"histograms":[138],"spectrograms":[140],"establish":[142],"system\u2019s":[145],"strength.":[147],"Numerical":[148],"test":[149],"results":[150],"demonstrate":[151],"possibility":[153],"proposed":[157],"high-security":[162],"systems.":[164],"The":[165],"employed":[166],"also":[170],"highly":[171],"resistant":[172],"pirate":[174],"attacks.":[175]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2022-11-29T00:00:00"}