Abstract
This chapter introduces the concept of a dynamical system. It will be seen how the geometric theory of dynamical systems can be used to describe attractors of iterated function systems. In particular, the Lyapunov dimension of an attractor of a dynamical system is defined, and it is shown how it relates to the Hausdorff dimension and the box dimension. Again, the limited scope of this monograph allows only the presentation of the most basic aspects of the theory, thus giving the reader a general overview of this fascinating subject. Also, results will be presented in Rn rather than on finite-dimensional Riemannian manifolds.
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