Abstract
A hyperbolic iterated function system (IFS) consists of a complete metric space X together with a finite set of contraction mappings on X. In this paper, the notion of scaled IFS is defined and its existence conditions are examined. The relation between the similarity dimension of the attractors of a given homogeneous IFS and a scaled IFS and its dependency on the scaling factor are studied. A lower and upper bounds for the Hausdorff dimension of the attractor of a scaled IFS is obtained.
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