Citation
M. Osaka et N. Ito, Local box-counting to determine fractal dimension of high-order chaos, INT J MOD C, 11(8), 2000, pp. 1519-1526
Citations number
20
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
ISSN journal
01291831
→ ACNP
Volume
11
Issue
8
Year of publication
2000
Pages
1519 - 1526
Database
ISI
SICI code
0129-1831(200012)11:8<1519:LBTDFD>2.0.ZU;2-3
Abstract
To determine the attractor dimension of chaotic dynamics, the box-counting
method has the difficulty in getting accurate estimates because the boxes a
re not weighted by their relative probabilities. We present a new method to
minimize this difficulty. The local box-counting method can be quite effec
tive in determining the attractor dimension of high-order chaos as well as
low-order chaos.