{"id":"https://openalex.org/W2226392923","doi":"https://doi.org/10.1142/s0218127415501771","title":"Kendall\u2019s Tau Based Correlation Analysis of Chaotic Sequences Generated by Piecewise Linear Maps","display_name":"Kendall\u2019s Tau Based Correlation Analysis of Chaotic Sequences Generated by Piecewise Linear Maps","publication_year":2015,"publication_date":"2015-12-15","ids":{"openalex":"https://openalex.org/W2226392923","doi":"https://doi.org/10.1142/s0218127415501771","mag":"2226392923"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415501771","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415501771","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/A5049211423","display_name":"Zouhair Ben Jemaa","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131288","display_name":"National Engineering School of Tunis","ror":"https://ror.org/03b1zjt31","country_code":"TN","type":"education","lineage":["https://openalex.org/I4210131288","https://openalex.org/I63596082"]},{"id":"https://openalex.org/I4210106624","display_name":"\u00c9cole Nationale d'Ing\u00e9nieurs de Gab\u00e8s","ror":"https://ror.org/01fy5k372","country_code":"TN","type":"education","lineage":["https://openalex.org/I4210106624"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Zouhair Ben Jemaa","raw_affiliation_strings":["Ecole Nationale d\u2019Ing\u00e9nieurs de Tunis, Laboratoire SysCom, Tunis, Tunisia"],"affiliations":[{"raw_affiliation_string":"Ecole Nationale d\u2019Ing\u00e9nieurs de Tunis, Laboratoire SysCom, Tunis, Tunisia","institution_ids":["https://openalex.org/I4210106624","https://openalex.org/I4210131288"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031427355","display_name":"Dani\u00e8le Fournier-Prunaret","orcid":"https://orcid.org/0000-0003-0036-8932"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniele Fournier-Prunaret","raw_affiliation_strings":["LAAS-CNRS, INSA, Universit\u00e9 de Toulouse, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"LAAS-CNRS, INSA, Universit\u00e9 de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I1294671590","https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056759341","display_name":"Safya Belghith","orcid":"https://orcid.org/0000-0001-7408-7848"},"institutions":[{"id":"https://openalex.org/I4210106624","display_name":"\u00c9cole Nationale d'Ing\u00e9nieurs de Gab\u00e8s","ror":"https://ror.org/01fy5k372","country_code":"TN","type":"education","lineage":["https://openalex.org/I4210106624"]},{"id":"https://openalex.org/I4210131288","display_name":"National Engineering School of Tunis","ror":"https://ror.org/03b1zjt31","country_code":"TN","type":"education","lineage":["https://openalex.org/I4210131288","https://openalex.org/I63596082"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Safya Belghith","raw_affiliation_strings":["Ecole Nationale d\u2019Ing\u00e9nieurs de Tunis, Laboratoire SysCom, Tunis, Tunisia"],"affiliations":[{"raw_affiliation_string":"Ecole Nationale d\u2019Ing\u00e9nieurs de Tunis, Laboratoire SysCom, Tunis, Tunisia","institution_ids":["https://openalex.org/I4210106624","https://openalex.org/I4210131288"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049211423"],"corresponding_institution_ids":["https://openalex.org/I4210106624","https://openalex.org/I4210131288"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.11590901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"25","issue":"13","first_page":"1550177","last_page":"1550177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9966999888420105,"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"}},"topics":[{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9966999888420105,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.993399977684021,"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":0.8287979960441589},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7684124112129211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.753669798374176},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6335586309432983},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5552096366882324},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4817197918891907},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.46650025248527527},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3950573801994324},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3927227556705475},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23123511672019958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1687992513179779},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.133701354265213},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11568760871887207},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09959551692008972},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08311864733695984}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.8287979960441589},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7684124112129211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.753669798374176},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6335586309432983},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5552096366882324},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4817197918891907},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.46650025248527527},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3950573801994324},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3927227556705475},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23123511672019958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1687992513179779},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.133701354265213},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11568760871887207},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09959551692008972},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08311864733695984},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127415501771","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415501771","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W96191160","https://openalex.org/W583905556","https://openalex.org/W1640538359","https://openalex.org/W1790739063","https://openalex.org/W1975885305","https://openalex.org/W1983074539","https://openalex.org/W1999945175","https://openalex.org/W2010547557","https://openalex.org/W2049708754","https://openalex.org/W2074997484","https://openalex.org/W2088203651","https://openalex.org/W2091554872","https://openalex.org/W2099503269","https://openalex.org/W2123034382","https://openalex.org/W2130725479","https://openalex.org/W2140859286","https://openalex.org/W2167136128"],"related_works":["https://openalex.org/W4255837520","https://openalex.org/W2387011115","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218"],"abstract_inverted_index":{"In":[0],"many":[1],"applications,":[2],"sequences":[3,22,63,75],"generated":[4,23],"by":[5,24],"chaotic":[6,21,62,94],"maps":[7,59],"have":[8,31],"been":[9],"considered":[10,55,93],"as":[11],"pseudo-random":[12],"sequences.":[13],"This":[14],"paper":[15],"deals":[16],"with":[17],"the":[18,33,36,39,42,50,66,69,88,92,103],"correlation":[19,37],"between":[20],"a":[25],"given":[26],"piecewise":[27,57],"linear":[28,58],"map;":[29],"we":[30],"based":[32],"measure":[34],"of":[35,41,52,68,72,74,81],"on":[38,91],"statistics":[40,67],"Kendall":[43,70],"tau,":[44],"which":[45],"is":[46,99],"usually":[47],"used":[48],"in":[49],"field":[51],"statistics.":[53],"We":[54,84],"three":[56],"to":[60,101],"generate":[61],"and":[64,96],"computed":[65],"tau":[71],"couples":[73,80],"obtained":[76],"from":[77],"randomly":[78],"chosen":[79],"initial":[82],"conditions.":[83],"essentially":[85],"found":[86],"that":[87,97],"results":[89],"depend":[90],"map":[95],"it":[98],"possible":[100],"approach":[102],"uncorrelated":[104],"case.":[105]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}