ANALYTICAL APPROACH TO ESTIMATING THE DIMENSION OF ATTRACTORS

Authors
HAKAMADA T IMAI I ISHIMURA N
Citation
T. Hakamada et al., ANALYTICAL APPROACH TO ESTIMATING THE DIMENSION OF ATTRACTORS, Applied mathematics & optimization, 34(1), 1996, pp. 29-36
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics & optimization → ACNP
ISSN journal
00954616
Volume
34
Issue
1
Year of publication
1996
Pages
29 - 36
Database
ISI
SICI code
0095-4616(1996)34:1<29:AATETD>2.0.ZU;2-T
Abstract
A mathematically rigorous procedure to estimate the Hausdorff dimensio n of the attractor is given. The method is based on invoking the Kapla n-Yorke-type estimate, through extending the argument of Constantin, F oias, and Temam.