Approximate reduction of nonlinear discrete models with two time scales

Sanz Lorenzo, Luis; Bravo de la Parra, Rafael y Sánchez Mañes, Eva María (2008). Approximate reduction of nonlinear discrete models with two time scales. "Journal of Difference Equations and Applications", v. 14 (n. 6); pp. 607-627. ISSN 1023-6198. https://doi.org/10.1080/10236190701709036.

Descripción

Título: Approximate reduction of nonlinear discrete models with two time scales
Autor/es:
  • Sanz Lorenzo, Luis
  • Bravo de la Parra, Rafael
  • Sánchez Mañes, Eva María
Tipo de Documento: Artículo
Título de Revista/Publicación: Journal of Difference Equations and Applications
Fecha: Junio 2008
Volumen: 14
Materias:
Palabras Clave Informales: Nonlinear discrete models; aggregation of variables; time scales; population dynamics
Escuela: E.T.S.I. Industriales (UPM)
Departamento: Matemática Aplicada a la Ingeniería Industrial [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

The aim of this work is to present a general class of nonlinear discrete time models with two time scales whose dynamics is susceptible of being approached by means of a reduced system. The reduction process is included in the so-called approximate aggregation of variables methods which consist of describing the dynamics of a complex system involving many coupled variables through the dynamics of a reduced system formulated in terms of a few global variables. For the time unit of the discrete system we use that of the slow dynamics and assume that fast dynamics acts a large number of times during it. After introducing a general two-time scales nonlinear discrete model we present its reduced accompanying model and the relationships between them. The main result proves that certain asymptotic behaviours, hyperbolic asymptotically stable (A.S.) periodic solutions, to the aggregated system entail that to the original system.

Más información

ID de Registro: 2249
Identificador DC: http://oa.upm.es/2249/
Identificador OAI: oai:oa.upm.es:2249
Identificador DOI: 10.1080/10236190701709036
URL Oficial: http://www.tandf.co.uk/journals/titles/10236198.html
Depositado por: Memoria Investigacion
Depositado el: 19 May 2010 09:18
Ultima Modificación: 20 Abr 2016 11:59
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