{"id":"https://openalex.org/W2891262787","doi":"https://doi.org/10.1142/s0218126619501512","title":"Construction of Higher-Dimensional Hyperchaotic Systems with a Maximum Number of Positive Lyapunov Exponents under Average Eigenvalue Criteria","display_name":"Construction of Higher-Dimensional Hyperchaotic Systems with a Maximum Number of Positive Lyapunov Exponents under Average Eigenvalue Criteria","publication_year":2018,"publication_date":"2018-09-19","ids":{"openalex":"https://openalex.org/W2891262787","doi":"https://doi.org/10.1142/s0218126619501512","mag":"2891262787"},"language":"en","primary_location":{"id":"doi:10.1142/s0218126619501512","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126619501512","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"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":"Journal of Circuits, Systems and Computers","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/A5022712564","display_name":"Jianbin He","orcid":"https://orcid.org/0000-0003-4098-7869"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]},{"id":"https://openalex.org/I9356336","display_name":"Minnan Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianbin He","raw_affiliation_strings":["School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, P. R. China","School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-4098-7869","affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, P. R. China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, P. R. China","institution_ids":["https://openalex.org/I9356336"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013127565","display_name":"Simin Yu","orcid":"https://orcid.org/0000-0002-1192-6955"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Simin Yu","raw_affiliation_strings":["College of Automation, Guangdong University of Technology, Guangzhou 510006, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation, Guangdong University of Technology, Guangzhou 510006, P. R. China","institution_ids":["https://openalex.org/I139024713"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.11958241,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"28","issue":"09","first_page":"1950151","last_page":"1950151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9994999766349792,"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":0.9994999766349792,"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/T11261","display_name":"Quantum chaos and dynamical systems","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":0.9898999929428101,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7526098489761353},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7311258912086487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7133081555366516},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7096546292304993},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.49648982286453247},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4853312075138092},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.46155568957328796},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3729339838027954},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3573894500732422},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.347866952419281},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3171793818473816},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17524635791778564},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1301497220993042},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07058081030845642},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06390756368637085}],"concepts":[{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7526098489761353},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7311258912086487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7133081555366516},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7096546292304993},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.49648982286453247},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4853312075138092},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.46155568957328796},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3729339838027954},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3573894500732422},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.347866952419281},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3171793818473816},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17524635791778564},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1301497220993042},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07058081030845642},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06390756368637085},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218126619501512","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126619501512","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"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":"Journal of Circuits, Systems and Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1496745782","https://openalex.org/W1913901062","https://openalex.org/W1976791164","https://openalex.org/W1979244202","https://openalex.org/W1987669226","https://openalex.org/W1995725546","https://openalex.org/W1998942494","https://openalex.org/W2009483907","https://openalex.org/W2010970807","https://openalex.org/W2020427565","https://openalex.org/W2031440207","https://openalex.org/W2031668778","https://openalex.org/W2044383346","https://openalex.org/W2046035016","https://openalex.org/W2046732414","https://openalex.org/W2076924412","https://openalex.org/W2107883576","https://openalex.org/W2108504478","https://openalex.org/W2114810947","https://openalex.org/W2134100806","https://openalex.org/W2135413047","https://openalex.org/W2135827536","https://openalex.org/W2136221998","https://openalex.org/W2317860537","https://openalex.org/W2567775486","https://openalex.org/W2590132587","https://openalex.org/W2590866833","https://openalex.org/W2743061250","https://openalex.org/W2745252528","https://openalex.org/W2972930398","https://openalex.org/W4297900861"],"related_works":["https://openalex.org/W2000983461","https://openalex.org/W3083820578","https://openalex.org/W1985773265","https://openalex.org/W2136053165","https://openalex.org/W2042726902","https://openalex.org/W2018828049","https://openalex.org/W2044927803","https://openalex.org/W1598979804","https://openalex.org/W3125280647","https://openalex.org/W3148492328"],"abstract_inverted_index":{"Over":[0],"the":[1,5,67,131,140,160,179,188,192,197,211,221,226],"last":[2],"40":[3],"years,":[4],"design":[6,37,59,228],"of":[7,20,73,97,133,139,162,191,196,225],"[Formula:":[8,38,61],"see":[9,18,39,47,62,71,147,151,176],"text]-dimensional":[10,40,63],"hyperchaotic":[11,41,64],"systems":[12,42],"with":[13,43,66,115,135,165,215],"a":[14,87,101,116,121,183,206],"maximum":[15,68],"number":[16,69,161],"([Formula:":[17,46,70,146,150,175],"text])":[19,48,72,148,177],"positive":[21,49,74,136,166,193],"Lyapunov":[22,50,75],"exponents":[23],"has":[24],"been":[25],"an":[26,60,110],"open":[27],"problem":[28,84],"for":[29,178],"research.":[30],"Nowadays":[31],"it":[32,53],"is":[33,54,106,126,169,200,213],"not":[34],"difficult":[35,57],"to":[36,58,80,128,145,171,174,202],"less":[44],"than":[45,205],"exponents,":[51],"but":[52],"still":[55],"extremely":[56],"system":[65,105,114,142,181],"exponents.":[76],"This":[77],"paper":[78,212],"aims":[79],"resolve":[81],"this":[82],"challenging":[83],"by":[85],"developing":[86],"chaotification":[88],"approach":[89,95],"using":[90],"average":[91,163,198],"eigenvalue":[92],"criteria.":[93],"The":[94],"consists":[96],"four":[98],"steps:":[99],"(i)":[100],"globally":[102],"bounded":[103,118],"controlled":[104,141,180],"designed":[107],"based":[108],"on":[109],"asymptotically":[111],"stable":[112],"nominal":[113],"uniformly":[117],"controller;":[119],"(ii)":[120],"closed-loop":[122],"pole":[123],"assignment":[124],"technique":[125],"utilized":[127],"ensure":[129],"that":[130],"numbers":[132],"eigenvalues":[134,164,199],"real":[137,167,194],"parts":[138,168,195],"be":[143,172,203],"equal":[144,173],"and":[149,223],"text]),":[152],"respectively,":[153],"at":[154],"two":[155],"saddle-focus":[156],"equilibrium":[157],"points;":[158],"(iii)":[159],"ensured":[170,201],"over":[182],"given":[184,207],"control":[185],"period;":[186],"(iv)":[187],"smallest":[189],"value":[190],"greater":[204],"threshold":[208],"value.":[209],"Finally,":[210],"closed":[214],"some":[216],"typical":[217],"examples":[218],"which":[219],"illustrate":[220],"feasibility":[222],"performance":[224],"proposed":[227],"methodology.":[229]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
