HAUSDORFF DIMENSION FROM THE MINIMAL SPANNING TREE

Authors
MARTINEZ VJ DOMINGUEZTENREIRO R ROY LJ
Citation
Vj. Martinez et al., HAUSDORFF DIMENSION FROM THE MINIMAL SPANNING TREE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(1), 1993, pp. 735-738
Citations number
27
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
47
Issue
1
Year of publication
1993
Pages
735 - 738
Database
ISI
SICI code
1063-651X(1993)47:1<735:HDFTMS>2.0.ZU;2-9
Abstract
A technique to estimate the Hausdorff dimension of strange attractors, based on the minimal spanning tree of the point distribution, is exte nsively tested in this work. This method takes into account in some se nse the infimum requirement appearing in the definition of the Hausdor ff dimension. It provides accurate estimates even for a low number of data points and it is especially suited to high-dimensional systems.