ATTRACTORS FOR A LATTICE DYNAMICAL SYSTEM GENERATED BY NON-NEWTONIAN FLUIDS MODELING SUSPENSIONS-Reference-Cited by-同舟云学术

ATTRACTORS FOR A LATTICE DYNAMICAL SYSTEM GENERATED BY NON-NEWTONIAN FLUIDS MODELING SUSPENSIONS

Published:2010-09 Issue:09 Volume:20 Page:2681-2700
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

AMIGÓ JOSÉ M.¹,GIMÉNEZ ÁNGEL¹,MORILLAS FRANCISCO²,VALERO JOSÉ¹

Affiliation:

1. Universidad Miguel Hernández, Centro de Investigación Operativa, Avda. Universidad s/n, 03202 Elche (Alicante), Spain

2. Universitat de València, Departament d'Economia Aplicada, Facultat d'Economia, Campus dels Tarongers s/n, 46022 València, Spain

Abstract

In this paper we consider a lattice dynamical system generated by a parabolic equation modeling suspension flows. We prove the existence of a global compact connected attractor for this system and the upper semicontinuity of this attractor with respect to finite-dimensional approximations. Also, we obtain a sequence of approximating discrete dynamical systems by the implementation of the implicit Euler method, proving the existence and the upper semicontinuous convergence of their global attractors.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127410027295

Reference36 articles.

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