V. Paar (Univ. Zagreb) - Parry measure and the topological
entropy of chaotic repellers embedded within chaotic attractors
- Accession Number
- 617JC-0007
- Document Delivery
- 617JC: Document Delivery available
- Authors
- Buljan
H. Paar
V.
- Author e-mail Address
- hbuljan@phy.hr
- Title
- Parry measure and the topological entropy of chaotic repellers embedded
within chaotic attractors
- Source
- Physica D. 172(1-4):111-123, 2002 Nov 15.
- Abbreviated Source
- Physica D. 172(1-4):111-123, 2002 Nov 15.
- Copyright Publisher
- ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS. URL: http://www.elsevier.nl
- ISSN
- 0167-2789
- Author Keywords
- Topological
entropy. Embedded
repellers. Parry
measure.
- KeyWords Plus
- Controlled
periodic motion. Transient
chaos. Tent
maps. Strange
attractors. Symbolic
dynamics. Crisis.
Lifetimes.
Family.
Bursts.
Noise.
- Abstract
- We study the topological entropy of chaotic repellers formed by those
points in a given chaotic attractor that never visit some small forbidden
hole-region in the phase space. The hole is a set of points in the phase
space that have a sequence alpha = (alpha(0)alpha(1) (. . .) alpha(l)-1) as
the first l letters in their itineraries. We point out that the difference
between the topological entropies of the attractor and the embedded repeller
is for most choices of alpha approximately equal to the Parry measure
corresponding to alpha, mu(P) (alpha). When the hole encompasses a point of
a short periodic orbit, the entropy difference is significantly smaller than
mu(P)(alpha). This discrepancy is described by the formula which relates the
length of the short periodic orbit, the Parry measure mu(P) (alpha), and the
topological entropies of the two chaotic sets. (C) 2002 Elsevier Science B.V.
All rights reserved. [References: 39]
- Language
- English
- Publication Type
- Article
- Subset
- Current Contents(R)/Physical, Chemical & Earth Sciences.
- CC Categories
- Physics in Current Contents(R)/Physical, Chemical & Earth Sciences.
- Entry Week
- 2002 week 51
- Reprint Address
- Reprint available from: Buljan H. Univ Zagreb, Fac Sci, Dept Phys, PP 332,
Zagreb 10000, Croatia.
- Institution
- Reprint available from:
Buljan H
Univ Zagreb, Fac Sci, Dept Phys
PP 332
Zagreb 10000
Croatia
Univ Zagreb, Fac Sci, Dept Phys
Zagreb 10000
Croatia