{"id":"https://openalex.org/W1974626407","doi":"https://doi.org/10.1142/s0218127411028805","title":"DYNAMICAL DISORDER AND SELF-CORRELATION IN THE CHARACTERIZATION OF NONLINEAR SYSTEMS: APPLICATION TO DETERMINISTIC CHAOS","display_name":"DYNAMICAL DISORDER AND SELF-CORRELATION IN THE CHARACTERIZATION OF NONLINEAR SYSTEMS: APPLICATION TO DETERMINISTIC CHAOS","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W1974626407","doi":"https://doi.org/10.1142/s0218127411028805","mag":"1974626407"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127411028805","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411028805","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":true,"oa_status":"green","oa_url":"http://oa.upm.es/7095/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101577197","display_name":"Juan A. Hern\u00e1ndez Ramos","orcid":"https://orcid.org/0000-0002-5188-1456"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"JUAN ANTONIO HERN\u00c1NDEZ","raw_affiliation_strings":["Grupo de Sistemas Complejos, ETSI Agr\u00f3nomos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s/n, Madrid 28040, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Sistemas Complejos, ETSI Agr\u00f3nomos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s/n, Madrid 28040, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029099160","display_name":"R. M. Benito","orcid":"https://orcid.org/0000-0003-3949-8232"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"ROSA MAR\u00cdA BENITO","raw_affiliation_strings":["Grupo de Sistemas Complejos, ETSI Agr\u00f3nomos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s/n, Madrid 28040, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Sistemas Complejos, ETSI Agr\u00f3nomos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s/n, Madrid 28040, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019337230","display_name":"Juan Carlos Losada","orcid":"https://orcid.org/0000-0002-4373-603X"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"JUAN CARLOS LOSADA","raw_affiliation_strings":["Grupo de Sistemas Complejos, ETSI Agr\u00f3nomos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s/n, Madrid 28040, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Sistemas Complejos, ETSI Agr\u00f3nomos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s/n, Madrid 28040, Spain","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2412,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54564533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"21","issue":"03","first_page":"963","last_page":"983"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9987999796867371,"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":0.9987999796867371,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.694370448589325},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6899192333221436},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6897695064544678},{"id":"https://openalex.org/keywords/correlation-dimension","display_name":"Correlation dimension","score":0.6544766426086426},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.607320249080658},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.604241132736206},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5562644600868225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45128071308135986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43688738346099854},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.43099284172058105},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4191294312477112},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38482409715652466},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1664068102836609},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.165122389793396},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"Fractal dimension","score":0.11721763014793396},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.11083686351776123},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10246643424034119},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09752205014228821}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.694370448589325},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6899192333221436},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6897695064544678},{"id":"https://openalex.org/C110601934","wikidata":"https://www.wikidata.org/wiki/Q5172849","display_name":"Correlation dimension","level":4,"score":0.6544766426086426},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.607320249080658},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.604241132736206},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5562644600868225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45128071308135986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43688738346099854},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.43099284172058105},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4191294312477112},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38482409715652466},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1664068102836609},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.165122389793396},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.11721763014793396},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.11083686351776123},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10246643424034119},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09752205014228821},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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":4,"locations":[{"id":"doi:10.1142/s0218127411028805","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411028805","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"},{"id":"pmh:oai:oa.upm.es:7095","is_oa":false,"landing_page_url":"https://oa.upm.es/7095/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196323","display_name":"UPM Digital Archive (Technical University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I88060688","host_organization_name":"Universidad Polit\u00e9cnica de Madrid","host_organization_lineage":["https://openalex.org/I88060688"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, ISSN 0218-1274, 2011-03, Vol. 21, No. 3","raw_type":"info:eu-repo/semantics/acceptedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.661.1453","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.661.1453","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://oa.upm.es/7095/2/INVE_MEM_2011_77252.pdf","raw_type":"text"},{"id":"pmh:oai:dnet:archivodigit::a0fc82456e66275608741ff0e1a5092c","is_oa":true,"landing_page_url":"http://oa.upm.es/7095/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, ISSN 0218-1274, 2011-03, Vol. 21, No. 3","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:archivodigit::a0fc82456e66275608741ff0e1a5092c","is_oa":true,"landing_page_url":"http://oa.upm.es/7095/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, ISSN 0218-1274, 2011-03, Vol. 21, No. 3","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W50200611","https://openalex.org/W1623941268","https://openalex.org/W1966617449","https://openalex.org/W1967008192","https://openalex.org/W1970738437","https://openalex.org/W1974835713","https://openalex.org/W1981015548","https://openalex.org/W1985978480","https://openalex.org/W1986419613","https://openalex.org/W2003228697","https://openalex.org/W2010187498","https://openalex.org/W2012315426","https://openalex.org/W2024857381","https://openalex.org/W2030486754","https://openalex.org/W2033801840","https://openalex.org/W2035236912","https://openalex.org/W2040704490","https://openalex.org/W2057621739","https://openalex.org/W2059042317","https://openalex.org/W2060398565","https://openalex.org/W2060791695","https://openalex.org/W2062775555","https://openalex.org/W2073630396","https://openalex.org/W2078206416","https://openalex.org/W2083456204","https://openalex.org/W2089447795","https://openalex.org/W2090359973","https://openalex.org/W2090804142","https://openalex.org/W2092844792","https://openalex.org/W2093446113","https://openalex.org/W2102296517","https://openalex.org/W2102892532","https://openalex.org/W2104090823","https://openalex.org/W2120724135","https://openalex.org/W2122093158","https://openalex.org/W2125566231","https://openalex.org/W2135787155","https://openalex.org/W2141394518","https://openalex.org/W2152254020","https://openalex.org/W2155402574","https://openalex.org/W2477347151","https://openalex.org/W2591453328","https://openalex.org/W2980622330","https://openalex.org/W2993383518"],"related_works":["https://openalex.org/W2361515791","https://openalex.org/W1628429654","https://openalex.org/W2187399829","https://openalex.org/W1972922334","https://openalex.org/W2106857803","https://openalex.org/W2364951437","https://openalex.org/W2002791315","https://openalex.org/W2200598598","https://openalex.org/W2899627504","https://openalex.org/W2375956839"],"abstract_inverted_index":{"A":[0],"new":[1,134],"methodology":[2],"to":[3,36,46,56,68,73,126,140],"characterize":[4,141],"nonlinear":[5,48],"systems":[6,125],"is":[7,10,55],"described.":[8],"It":[9],"based":[11],"on":[12,58],"the":[13,16,22,26,50,59,70,79,93,96,103,106,109,117,121,127,152],"measurement":[14],"over":[15],"time":[17],"series":[18,85],"of":[19,52,63,81,95,102,108,116,123,129,151],"two":[20],"quantities:":[21],"\"Dynamical":[23],"order\"":[24],"and":[25,31,61,78,120,143],"\"Self-correlation\".":[27],"The":[28],"averaged":[29,97,110],"\"Scalar\"":[30,98],"\"Perpendicular\"":[32,111],"products":[33],"are":[34,86,91],"introduced":[35],"measure":[37],"these":[38],"quantities.":[39],"While":[40],"this":[41,53],"approach":[42],"can":[43],"be":[44],"applied":[45],"general":[47],"systems,":[49],"aim":[51],"work":[54],"focus":[57],"characterization":[60],"modeling":[62,80],"chaotic":[64,76],"systems.":[65],"In":[66],"order":[67],"illustrate":[69],"method,":[71,149],"applications":[72],"a":[74,114,138,147],"two-dimensional":[75],"system":[77,153],"real":[82,142],"telephony":[83],"traffic":[84],"presented.":[87],"Three":[88],"important":[89],"aspects":[90],"discussed:":[92],"use":[94,107],"product":[99,112],"as":[100,113],"supplement":[101],"\"Lyapunov":[104],"exponent\",":[105],"refinement":[115],"\"Mutual":[118],"information\"":[119],"reduction":[122],"m-dimensional":[124],"study":[128],"only":[130],"one":[131],"dimension.":[132],"This":[133],"conceptual":[135],"framework":[136],"introduces":[137],"perspective":[139],"theoretical":[144],"processes":[145],"with":[146],"unifying":[148],"irrespective":[150],"classification.":[154]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}