Abstract
The Hausdorff dimension of a strange attractor is argued to be the fixed point of a recursive relation, defined in terms of a suitable average of the smallest distances between points on the attractor. A fast numerical algorithm is developed to compute . The spread in the convergence rates towards zero of the distances (uniformity factor) as well as the stability of the fixed point are discussed in terms of the entropy of the distribution.
- Received 29 November 1983
DOI:https://doi.org/10.1103/PhysRevLett.52.1661
©1984 American Physical Society