Attractors for a Nonautonomous Lienard Equation

In this paper, we prove the existence of pullback and uniform attractors for a nonautonomous Lienard equation. The relation among these attractors is also discussed. After that, we consider that the Lienard equation includes forcing terms which belong to a class of functions extending periodic and almost periodic functions recently introduced by Kloeden and Rodrigues [2011]. Finally, we estimate the Hausdorff dimension of the pullback attractor. We illustrate these results with a numerical simulation: we present a simulation showing the pullback attractor for the nonautonomous Van der Pol equation, an important special case of the nonautonomous Lienard equation.