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In order to illustrate the method, applications to a two-dimensional chaotic system and the modeling of real telephony traffic series are presented. Three important aspects are discussed: the use of the averaged \"Scalar\" product as supplement of the \"Lyapunov exponent\", the use of the averaged \"Perpendicular\" product as a refinement of the \"Mutual information\" and the reduction of m-dimensional systems to the study of only one dimension. This new conceptual framework introduces a perspective to characterize real and theoretical processes with a unifying method, irrespective of the system classification. <\/jats:p>","DOI":"10.1142\/s0218127411028805","type":"journal-article","created":{"date-parts":[[2011,4,12]],"date-time":"2011-04-12T01:12:58Z","timestamp":1302570778000},"page":"963-983","source":"Crossref","is-referenced-by-count":1,"title":["DYNAMICAL DISORDER AND SELF-CORRELATION IN THE CHARACTERIZATION OF NONLINEAR SYSTEMS: APPLICATION TO DETERMINISTIC CHAOS"],"prefix":"10.1142","volume":"21","author":[{"given":"JUAN ANTONIO","family":"HERN\u00c1NDEZ","sequence":"first","affiliation":[{"name":"Grupo de Sistemas Complejos, ETSI Agr\u00f3nomos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s\/n, Madrid 28040, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ROSA MAR\u00cdA","family":"BENITO","sequence":"additional","affiliation":[{"name":"Grupo de Sistemas Complejos, ETSI Agr\u00f3nomos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s\/n, Madrid 28040, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JUAN","family":"CARLOS LOSADA","sequence":"additional","affiliation":[{"name":"Grupo de Sistemas Complejos, ETSI Agr\u00f3nomos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s\/n, Madrid 28040, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2006.01.093"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2007.07.004"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-71001-8_9"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.14.2338"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2010.01.030"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.066208"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.34.4971"},{"key":"rf8","first-page":"33","volume":"20","author":"Erlang A.","journal-title":"Nyt Tidsskrift for Matematik B"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.33.1134"},{"key":"rf10","first-page":"1259","volume":"6","author":"Fridrich J.","journal-title":"Int. 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