| Abstract: |
| We describe methods to determine estimates for the fractal dimension of attractors in autonomous and non-autonomous dynamical systems in Banach and Hilbert spaces, these methods being strictly related with the process of covering of balls in spaces of infinity dimension. In the Banach case the strategy concerning the fractal dimension is based on approximations of the associated linearized system by finite dimensional spaces, while in the Hilbert one the treatment is by contraction of volumes. We present then comparisons between these methods in qualitative and quantitative aspects, with PDE`s as potential applications. |
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