Dynamical Disorder and Self-Correlation in the Characterization of Nonlinear Systems. Application to Deterministic Chaos.

Hernández Álvarez, Juan Antonio; Benito Zafrilla, Rosa Maria y Losada González, Jose Carlos (2011). Dynamical Disorder and Self-Correlation in the Characterization of Nonlinear Systems. Application to Deterministic Chaos.. "International Journal of Bifurcation and Chaos", v. 21 (n. 3); pp. 963-983. ISSN 0218-1274. https://doi.org/10.1142/S0218127411028805.

Descripción

Título: Dynamical Disorder and Self-Correlation in the Characterization of Nonlinear Systems. Application to Deterministic Chaos.
Autor/es:
  • Hernández Álvarez, Juan Antonio
  • Benito Zafrilla, Rosa Maria
  • Losada González, Jose Carlos
Tipo de Documento: Artículo
Título de Revista/Publicación: International Journal of Bifurcation and Chaos
Fecha: Marzo 2011
Volumen: 21
Materias:
Escuela: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Departamento: Física y Mecánica Fundamental, Aplicada a la Ingeniería Agroforestal [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

A new methodology to characterize nonlinear systems is described. It is based on the measurement over the time series of two quantities: the "Dynamical order" and the "Self-correlation". The averaged "Scalar" and "Perpendicular" products are introduced to measure these quantities. While this approach can be applied to general nonlinear systems, the aim of this work is to focus on the characterization and modeling of chaotic systems. 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.

Más información

ID de Registro: 7095
Identificador DC: http://oa.upm.es/7095/
Identificador OAI: oai:oa.upm.es:7095
Identificador DOI: 10.1142/S0218127411028805
URL Oficial: http://www.worldscinet.com/ijbc/21/2103/S0218127411028805.html
Depositado por: Memoria Investigacion
Depositado el: 24 May 2011 10:19
Ultima Modificación: 20 Abr 2016 16:12
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