Article
Attractors for a non-autonomous Liénard equation
Author/s | Anguiano Moreno, María
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Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2015 |
Deposit Date | 2024-05-03 |
Abstract | In this paper we prove the existence of pullback and uniform attractors for a non-autonomous Liénard equation. The relation among these attractors is also discussed. After that, we consider that the Liénard equation includes ... In this paper we prove the existence of pullback and uniform attractors for a non-autonomous Liénard equation. The relation among these attractors is also discussed. After that, we consider that the Liénard equation includes forcing terms which belong to a class of functions extending periodic and almost peri- odic functions recently introduced by Kloeden and Rodrigues in [14]. Finally, we estimate the Hausforff dimension of the pullback attractor. We illustrate these results with a numerical simulation: we present a simulation showing the pullback attractor for the non-autonomous Van der Pol equation, an important special case of the non-autonomous Liénard equation. |
Funding agencies | V Plan Propio de Investigación de la Universidad de Sevilla Fondo Europeo de Desarrollo Regional and Ministerio de Economía y Competitividad |
Project ID. | PP2013-1458
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