Scale-local dimensions of strange attractors
Reid, J. G. ; Trainor, T. A.
arXiv, 0305022 / Harvested from arXiv
Text on arXiv
We compare limit-based and scale-local dimensions of complex distributions, particularly for a strange attractor of the Henon map. Scale-local dimensions as distributions on scale are seen to exhibit a wealth of detail. Limit-based dimensions are shown to be averages of scale-local dimensions, in principle over a semi-infinite scale interval. We identify some critical questions of definition for practical dimension analysis of arbitrary distributions on bounded scale intervals.
Publié le : 2003-05-09
Classification:  Mathematical Physics 
@article{0305022,
     author = {Reid, J. G. and Trainor, T. A.},
     title = {Scale-local dimensions of strange attractors},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305022}
}

Reid, J. G.; Trainor, T. A. Scale-local dimensions of strange attractors. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305022/