- V. Paar (Univ. Zagreb) - Naturally invariant measure of
chaotic attractors and the conditionally invariant measure of embedded
chaotic repellers - art. no. 036218
- Accession Number
- 533UN-0088
- Document Delivery
- 533UN: Document Delivery available
- Authors
- Buljan
H. Paar
V.
- Title
- Naturally invariant measure of chaotic attractors and the conditionally
invariant measure of embedded chaotic repellers - art. no. 036218
- Source
- Physical Review E. 6503(3 Part 2A):6218, 2002 Mar.
- Abbreviated Source
- Phys. Rev. E. 6503(3 Part 2A):6218, 2002 Mar.
- Copyright Publisher
- AMERICAN PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA.
URL: http://www.aps.org
- ISSN
- 1063-651X
- KeyWords Plus
- Unstable
periodic-orbits. Strange
attractors. Dynamical-systems.
Transient
chaos. Anosov
maps. Small
holes. Sets.
Exponents.
Capacity.
Entropy.
- Abstract
- We study local and global correlations between the naturally invariant
measure of a chaotic one-dimensional map f and the conditionally invariant
measure of the transiently chaotic map f(H). The two maps differ only within
a narrow interval H, while the two measures significantly differ within the
images f(l)(H), where l is smaller than some critical number l(c). We point
out two different types of correlations. Typically, the critical number l(c)
is small. The chi(2) value, which characterizes the global discrepancy
between the two measures, typically obeys a power-law dependence on the
width epsilon of the interval H, with the exponent identical to the
information dimension. If H is centered on an image of the critical point,
then l(c) increases indefinitely with the decrease of epsilon, and the chi(2)
value obeys a modulated power-law dependence on epsilon. [References: 44]
- 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 16
- 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