Symbolic dynamics and entropy analysis of Feigenbaum limit sets

Citation
K. Karamanos et G. Nicolis, Symbolic dynamics and entropy analysis of Feigenbaum limit sets, CHAOS SOL F, 10(7), 1999, pp. 1135-1150
Citations number
30
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
10
Issue
7
Year of publication
1999
Pages
1135 - 1150
Database
ISI
SICI code
0960-0779(199907)10:7<1135:SDAEAO>2.0.ZU;2-I
Abstract
A new decimation scheme for the symbolic dynamics of the Feigenbaum attract ors of unimodal maps is established. The coarse-grained statistical propert ies of the attractors are subsequently derived, with emphasis on the behavi or of the block entropies. (C) 1999 Elsevier Science Ltd. All rights reserv ed.