Article
Asymptotic Behaviour of a Non-Autonomous Lorenz-84 System
Author/s | Anguiano Moreno, María
Caraballo Garrido, Tomás |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2014 |
Deposit Date | 2015-04-08 |
Published in |
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Abstract | The so called Lorenz-84 model has been used in climatological studies, for example by coupling it with a low-dimensional model for ocean dynamics. The behaviour of this model has been studied extensively since its introduction ... The so called Lorenz-84 model has been used in climatological studies, for example by coupling it with a low-dimensional model for ocean dynamics. The behaviour of this model has been studied extensively since its introduction by Lorenz in 1984. In this paper we study the asymptotic behaviour of a non-autonomous Lorenz-84 version with several types of nonautonomous features. We prove the existence of pullback and uniform attractors for the process associated to this model. In particular we consider that the non-autonomous forcing terms are more general than almost periodic. Finally, we estimate the Hausdor dimension of the pullback attractor. We illustrate some examples of pullback attractors by numerical simulations. |
Citation | Anguiano Moreno, M. y Caraballo Garrido, T. (2014). Asymptotic Behaviour of a Non-Autonomous Lorenz-84 System. Discrete and Continuous Dynamical Systems, 34 (10), 3901-3920. |
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