{"id":"https://openalex.org/W4415282642","doi":"https://doi.org/10.1142/s0218127425501871","title":"Extreme Events and Hyperchaos in a Special 6D Hyperjerk System","display_name":"Extreme Events and Hyperchaos in a Special 6D Hyperjerk System","publication_year":2025,"publication_date":"2025-10-16","ids":{"openalex":"https://openalex.org/W4415282642","doi":"https://doi.org/10.1142/s0218127425501871"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127425501871","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425501871","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/A5016318683","display_name":"Jean Chamberlain Chedjou","orcid":"https://orcid.org/0000-0002-5675-4747"},"institutions":[{"id":"https://openalex.org/I4210166741","display_name":"University of Klagenfurt","ror":"https://ror.org/05q9m0937","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210166741"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Jean Chamberlain Chedjou","raw_affiliation_strings":["Transportation Informatics Group (TIG), University of Klagenfurt, Klagenfurt, Austria"],"raw_orcid":"https://orcid.org/0000-0002-5675-4747","affiliations":[{"raw_affiliation_string":"Transportation Informatics Group (TIG), University of Klagenfurt, Klagenfurt, Austria","institution_ids":["https://openalex.org/I4210166741"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114223757","display_name":"V. Vijayan","orcid":null},"institutions":[{"id":"https://openalex.org/I145286018","display_name":"SRM Institute of Science and Technology","ror":"https://ror.org/050113w36","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vijeesh Vijayan","raw_affiliation_strings":["Center for Research, Easwari Engineering College, Chennai, India","Center for Research, SRM TRP Engineering College, Trichy, India"],"raw_orcid":"https://orcid.org/0009-0007-9919-3875","affiliations":[{"raw_affiliation_string":"Center for Research, Easwari Engineering College, Chennai, India","institution_ids":[]},{"raw_affiliation_string":"Center for Research, SRM TRP Engineering College, Trichy, India","institution_ids":["https://openalex.org/I145286018"]}]},{"author_position":"middle","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":"Kengne Jacques","raw_affiliation_strings":["Department of Electrical Engineering, Fotso Victor University Institute (IUT-FV), University of Dschang, Dschang, Cameroon"],"raw_orcid":"https://orcid.org/0000-0002-1165-1808","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Fotso Victor University Institute (IUT-FV), University of Dschang, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057487605","display_name":"Karthikeyan Rajagopal","orcid":"https://orcid.org/0000-0003-2993-7182"},"institutions":[{"id":"https://openalex.org/I4210115651","display_name":"Trichy SRM Medical College Hospital and Research Centre","ror":"https://ror.org/029qzyn15","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210115651"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Karthikeyan Rajagopal","raw_affiliation_strings":["Center for Cognitive Science, Trichy SRM Medical College Hospital and Research Center, Trichy, India","Center for Research, Easwari Engineering College, Chennai, India"],"raw_orcid":"https://orcid.org/0000-0003-2993-7182","affiliations":[{"raw_affiliation_string":"Center for Cognitive Science, Trichy SRM Medical College Hospital and Research Center, Trichy, India","institution_ids":["https://openalex.org/I4210115651"]},{"raw_affiliation_string":"Center for Research, Easwari Engineering College, Chennai, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017180341","display_name":"Makhkamov Bakhtiyor Shukhratovich","orcid":null},"institutions":[{"id":"https://openalex.org/I21256249","display_name":"Tashkent University of Information Technology","ror":"https://ror.org/05987a729","country_code":"UZ","type":"education","lineage":["https://openalex.org/I21256249"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"Makhkamov Bakhtiyor Shukhratovich","raw_affiliation_strings":["Department of Information and Communication Technologies, Tashkent University of Information Technology, Tashkent, Uzbekistan"],"raw_orcid":"https://orcid.org/0009-0006-7551-8527","affiliations":[{"raw_affiliation_string":"Department of Information and Communication Technologies, Tashkent University of Information Technology, Tashkent, Uzbekistan","institution_ids":["https://openalex.org/I21256249"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5016318683"],"corresponding_institution_ids":["https://openalex.org/I4210166741"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28701561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"16","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11344","display_name":"Traffic Prediction and Management Techniques","score":0.6305999755859375,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11344","display_name":"Traffic Prediction and Management Techniques","score":0.6305999755859375,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.7218999862670898},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6312000155448914},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5511000156402588},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5235000252723694},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49219998717308044},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.4553000032901764},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.37059998512268066},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.329800009727478}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.7218999862670898},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6312000155448914},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5511000156402588},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5235000252723694},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49219998717308044},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.4553000032901764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4345000088214874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40290001034736633},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.37059998512268066},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36309999227523804},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C78434282","wikidata":"https://www.wikidata.org/wiki/Q11656","display_name":"Diode","level":2,"score":0.3276999890804291},{"id":"https://openalex.org/C46686674","wikidata":"https://www.wikidata.org/wiki/Q466303","display_name":"Boosting (machine learning)","level":2,"score":0.323199987411499},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.32190001010894775},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.3091000020503998},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.30320000648498535},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.29820001125335693},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.288100004196167},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.28600001335144043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27399998903274536},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2676999866962433}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127425501871","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425501871","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1998630995","https://openalex.org/W2007324447","https://openalex.org/W2031233007","https://openalex.org/W2031668778","https://openalex.org/W2046732414","https://openalex.org/W2107523717","https://openalex.org/W2134100806","https://openalex.org/W2150927600","https://openalex.org/W2281595642","https://openalex.org/W2601279175","https://openalex.org/W2811499980","https://openalex.org/W2909453129","https://openalex.org/W2912883855","https://openalex.org/W2924906120","https://openalex.org/W2927934081","https://openalex.org/W2980254107","https://openalex.org/W2991798982","https://openalex.org/W3032220000","https://openalex.org/W3087928450","https://openalex.org/W3134593031","https://openalex.org/W3160947934","https://openalex.org/W3164539693","https://openalex.org/W3167532241","https://openalex.org/W3187156945","https://openalex.org/W3201605825","https://openalex.org/W4247794243","https://openalex.org/W4313887533","https://openalex.org/W4320067584","https://openalex.org/W4380877250","https://openalex.org/W4385518131","https://openalex.org/W4387007481","https://openalex.org/W4387448002","https://openalex.org/W4387672456","https://openalex.org/W4388936582","https://openalex.org/W4390450060","https://openalex.org/W4390541499","https://openalex.org/W4390675043","https://openalex.org/W4391341750","https://openalex.org/W4392358864","https://openalex.org/W4393276326","https://openalex.org/W4399260129","https://openalex.org/W4399850164","https://openalex.org/W4400802460","https://openalex.org/W4401682230","https://openalex.org/W4402216216","https://openalex.org/W4403265091","https://openalex.org/W4404563405","https://openalex.org/W4405613473","https://openalex.org/W4406036740","https://openalex.org/W4407742103","https://openalex.org/W4408493726","https://openalex.org/W4409790118"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1,164],"paper,":[2,165],"we":[3],"propose":[4],"a":[5,12,20,27],"new":[6,39,105],"6D":[7],"hyperchaotic":[8,101],"hyperjerk":[9,106],"system":[10,40,107,133],"featuring":[11],"single":[13],"nonlinear":[14,77],"term":[15],"in":[16,154,163,168],"the":[17,38,64,72,100,104,121,132,135,138,142,145,148,157,169],"form":[18],"of":[19,26,30,37,57,60,103,131,137,144,150,160],"sinh":[21,122],"function,":[22],"whose":[23],"argument":[24],"consists":[25],"linear":[28],"combination":[29],"three":[31,82,151],"state":[32],"variables.":[33],"A":[34],"detailed":[35],"analysis":[36,59],"is":[41,69,108,166],"carried":[42],"out":[43],"using":[44,110],"both":[45],"analytical":[46],"and":[47,63,90,115],"numerical":[48],"methods,":[49],"with":[50,81],"emphasis":[51],"on":[52],"its":[53],"symmetry":[54],"properties,":[55],"computation":[56],"dissipation,":[58],"equilibrium/rest":[61],"points,":[62],"route":[65],"to":[66,119,156],"hyperchaos.":[67],"It":[68],"revealed":[70],"that":[71],"proposed":[73],"model":[74],"possesses":[75],"unique/special":[76],"behaviors,":[78],"including":[79],"hyperchaos":[80],"positive":[83,152],"Lyapunov":[84],"Exponents":[85],"(LEs),":[86],"Extreme":[87],"Events":[88],"(EEs),":[89],"an":[91,128],"offset":[92],"boosting":[93],"property.":[94],"An":[95],"appropriate":[96],"analog":[97],"circuit":[98],"emulating":[99],"behavior":[102],"designed":[109],"only":[111],"basic":[112],"electronic":[113],"components":[114],"two":[116],"back-to-back":[117],"diodes":[118],"implement":[120],"function.":[123],"Phase":[124],"portraits":[125],"obtained":[126],"from":[127],"Arduino-based":[129],"implementation":[130],"verify":[134],"results":[136],"theoretical":[139],"investigations.":[140],"To":[141],"best":[143],"authors\u2019":[146],"knowledge,":[147],"presence":[149],"LEs,":[153],"addition":[155],"striking":[158],"feature":[159],"EEs":[161],"reported":[162],"unique":[167],"relevant":[170],"literature.":[171]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-17T00:00:00"}