{"id":"https://openalex.org/W3207772061","doi":"https://doi.org/10.1109/tcsi.2021.3117865","title":"<i>n</i>-Dimensional Polynomial Chaotic System With Applications","display_name":"<i>n</i>-Dimensional Polynomial Chaotic System With Applications","publication_year":2021,"publication_date":"2021-10-19","ids":{"openalex":"https://openalex.org/W3207772061","doi":"https://doi.org/10.1109/tcsi.2021.3117865","mag":"3207772061"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2021.3117865","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2021.3117865","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","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/A5007080915","display_name":"Zhongyun Hua","orcid":"https://orcid.org/0000-0002-3529-0541"},"institutions":[{"id":"https://openalex.org/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]},{"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":"Zhongyun Hua","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-3529-0541","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I158809036","https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020464532","display_name":"Yinxing Zhang","orcid":"https://orcid.org/0000-0001-9598-2542"},"institutions":[{"id":"https://openalex.org/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]},{"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":"Yinxing Zhang","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I158809036","https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071314631","display_name":"Han Bao","orcid":"https://orcid.org/0000-0002-2329-6890"},"institutions":[{"id":"https://openalex.org/I4210153482","display_name":"Changzhou University","ror":"https://ror.org/04ymgwq66","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210153482"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Han Bao","raw_affiliation_strings":["School of Microelectronics and Control Engineering, Changzhou University, Changzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-2329-6890","affiliations":[{"raw_affiliation_string":"School of Microelectronics and Control Engineering, Changzhou University, Changzhou, China","institution_ids":["https://openalex.org/I4210153482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102748055","display_name":"Hejiao Huang","orcid":"https://orcid.org/0000-0001-8728-3012"},"institutions":[{"id":"https://openalex.org/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]},{"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":"Hejiao Huang","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-8728-3012","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I158809036","https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009595085","display_name":"Yicong Zhou","orcid":"https://orcid.org/0000-0002-4487-6384"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yicong Zhou","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau, China"],"raw_orcid":"https://orcid.org/0000-0002-4487-6384","affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.4343,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.98120879,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"69","issue":"2","first_page":"784","last_page":"797"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9979000091552734,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7215110063552856},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.7039095163345337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6329019069671631},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6282452344894409},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4646992087364197},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.44191455841064453},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4046078324317932},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39439523220062256},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2651953101158142},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.18972143530845642},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17559552192687988},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15658339858055115}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7215110063552856},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7039095163345337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6329019069671631},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6282452344894409},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4646992087364197},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.44191455841064453},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4046078324317932},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39439523220062256},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2651953101158142},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.18972143530845642},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17559552192687988},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15658339858055115},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2021.3117865","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2021.3117865","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3584286123","display_name":null,"funder_award_id":"MYRG2018-00136-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G4820158423","display_name":null,"funder_award_id":"2021A1515011406","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G8244995127","display_name":"\u9ad8\u7ef4\u9c81\u68d2\u6df7\u6c8c\u673a\u7406\u7814\u7a76\u53ca\u5176\u5728\u751f\u6210\u5f0f\u5bf9\u6297\u7f51\u7edc\u4e2d\u7684\u5e94\u7528","funder_award_id":"62071142","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"},{"id":"https://openalex.org/F4320322841","display_name":"Universidade de Macau","ror":"https://ror.org/01r4q9n85"},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1862394037","https://openalex.org/W1913901062","https://openalex.org/W1963898916","https://openalex.org/W1975031877","https://openalex.org/W1983079459","https://openalex.org/W1995725546","https://openalex.org/W2013963459","https://openalex.org/W2015287612","https://openalex.org/W2015304581","https://openalex.org/W2020976071","https://openalex.org/W2061570524","https://openalex.org/W2109529167","https://openalex.org/W2285154776","https://openalex.org/W2289605772","https://openalex.org/W2301040948","https://openalex.org/W2460827505","https://openalex.org/W2482689398","https://openalex.org/W2567254985","https://openalex.org/W2594969933","https://openalex.org/W2605543710","https://openalex.org/W2614101859","https://openalex.org/W2625153752","https://openalex.org/W2728229501","https://openalex.org/W2737348216","https://openalex.org/W2738748671","https://openalex.org/W2750693009","https://openalex.org/W2799965992","https://openalex.org/W2800936176","https://openalex.org/W2801893904","https://openalex.org/W2806149340","https://openalex.org/W2810077601","https://openalex.org/W2883259339","https://openalex.org/W2901263295","https://openalex.org/W2905420870","https://openalex.org/W2944278644","https://openalex.org/W2960696614","https://openalex.org/W2964478629","https://openalex.org/W2969929243","https://openalex.org/W2980736665","https://openalex.org/W2984980347","https://openalex.org/W2998204968","https://openalex.org/W3010887420","https://openalex.org/W3028205731","https://openalex.org/W3036289739","https://openalex.org/W3083489465","https://openalex.org/W3099556301","https://openalex.org/W3112375290","https://openalex.org/W3127196723","https://openalex.org/W3162835078","https://openalex.org/W4233725098","https://openalex.org/W4292543836","https://openalex.org/W4308293964"],"related_works":["https://openalex.org/W3034924094","https://openalex.org/W3094954546","https://openalex.org/W1488708774","https://openalex.org/W2006887475","https://openalex.org/W61644174","https://openalex.org/W2361515791","https://openalex.org/W2055371868","https://openalex.org/W2377672665","https://openalex.org/W2375956839","https://openalex.org/W2899627504"],"abstract_inverted_index":{"Designing":[0],"high-dimensional":[1,111,129,166,187,226],"chaotic":[2,19,38,52,65,112,130,147,159,167,188,227],"maps":[3,66,113,131,168],"with":[4,67,85,114,132,185],"expected":[5],"dynamic":[6,15,182],"properties":[7,16,156],"is":[8,76,92],"an":[9,46],"attractive":[10],"but":[11],"challenging":[12],"task.":[13],"The":[14,71],"of":[17,36,122,157,196],"a":[18,37,203,217],"system":[20,53],"can":[21,59,109],"be":[22],"reflected":[23],"by":[24],"the":[25,30,34,95,104,120,123,145,150,154,165,176,194],"Lyapunov":[26],"exponents":[27],"(LEs).":[28],"Using":[29],"inherent":[31],"relationship":[32],"between":[33],"parameters":[35],"map":[39],"and":[40,88,149,179],"its":[41,89],"LEs,":[42],"this":[43],"paper":[44],"proposes":[45],"<inline-formula>":[47,61,72,79,105,124,171,197,212],"<tex-math":[48,55,62,73,80,106,125,172,198,213],"notation=\"LaTeX\">$n$":[49,81],"</tex-math></inline-formula>-dimensional":[50],"polynomial":[51],"(<inline-formula>":[54],"notation=\"LaTeX\">$n\\text{D}$":[56,63,74,107,126,173,199,214],"</tex-math></inline-formula>-PCS)":[57],"that":[58,103,164,211],"generate":[60],"</tex-math></inline-formula>":[64,82],"any":[68,115],"desired":[69,116,177],"LEs.":[70,117],"</tex-math></inline-formula>-PCS":[75,108,174,215],"constructed":[77],"from":[78,170],"parametric":[83],"polynomials":[84],"arbitrary":[86],"orders,":[87],"parameter":[90],"matrix":[91],"configured":[93],"using":[94],"preliminaries":[96],"in":[97],"linear":[98],"algebra.":[99],"Theoretical":[100],"analysis":[101],"proves":[102],"produce":[110],"To":[118],"show":[119,210],"effects":[121],"</tex-math></inline-formula>-PCS,":[127,200],"two":[128,146],"hyperchaotic":[133],"behaviors":[134,183],"were":[135],"generated.":[136],"A":[137],"microcontroller-based":[138],"hardware":[139],"platform":[140],"was":[141],"developed":[142,202],"to":[143,192,220],"implement":[144],"maps,":[148],"test":[151],"results":[152,209],"demonstrated":[153],"randomness":[155],"their":[158],"signals.":[160],"Performance":[161],"evaluations":[162],"indicate":[163],"generated":[169],"have":[175],"LEs":[178],"more":[180],"complicated":[181],"compared":[184],"other":[186,225],"maps.":[189,228],"In":[190],"addition,":[191],"demonstrate":[193],"applications":[195],"we":[201],"chaos-based":[204],"secure":[205],"communication":[206],"scheme.":[207],"Simulation":[208],"has":[216],"stronger":[218],"ability":[219],"resist":[221],"channel":[222],"noise":[223],"than":[224]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":30},{"year":2023,"cited_by_count":23},{"year":2022,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
