Hausdorff Dimension Estimates by Use of a Tubular Carathéodory Structure and Their Application to Stability Theory


The paper is concerned with upper bounds for the Hausdorff dimension of flow invariant compact sets on Riemannian manifolds and the application of such bounds to global stability investigations of equilibrium points. The proof of the main theorem uses a special Carathéodory dimension structure in order to get contraction conditions for the considered Carath… (More)


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