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Scientific paper - Original scientific paper
Naturally invariant measure of chaotic attractors and the conditionally invariant measure of embedded chaotic repellers
Physical Review E, 65 (2002), 3; 036218-9. https://doi.org/10.1103/PhysRevE.65.036218
Buljan, Hrvoje; Paar, Vladimir

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Buljan, H. & Paar, V. (2002). Naturally invariant measure of chaotic attractors and the conditionally invariant measure of embedded chaotic repellers. Physical Review E, 65. (3), 036218-9. doi: 10.1103/PhysRevE.65.036218

Buljan, Hrvoje and Vladimir Paar. "Naturally invariant measure of chaotic attractors and the conditionally invariant measure of embedded chaotic repellers." Physical Review E, vol. 65, no. 3, 2002, pp. 036218-9. https://doi.org/10.1103/PhysRevE.65.036218

Buljan, Hrvoje and Vladimir Paar. "Naturally invariant measure of chaotic attractors and the conditionally invariant measure of embedded chaotic repellers." Physical Review E 65, no. 3 (2002): 036218-9. https://doi.org/10.1103/PhysRevE.65.036218

Buljan, H. and Paar, V. (2002) 'Naturally invariant measure of chaotic attractors and the conditionally invariant measure of embedded chaotic repellers', Physical Review E, 65(3), pp. 036218-9. doi: 10.1103/PhysRevE.65.036218

Buljan H, Paar V. Naturally invariant measure of chaotic attractors and the conditionally invariant measure of embedded chaotic repellers. Physical Review E [Internet]. 2002 [cited 2024 May 15];65(3):036218-9. doi: 10.1103/PhysRevE.65.036218

H. Buljan and V. Paar, "Naturally invariant measure of chaotic attractors and the conditionally invariant measure of embedded chaotic repellers", Physical Review E, vol. 65, no. 3, pp. 036218-9, 2002. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:937773. [Accessed: 15 May 2024]

Metadata
Title (english)Naturally invariant measure of chaotic attractors and the conditionally invariant measure of embedded chaotic repellers
AuthorHrvoje Buljan
AuthorVladimir Paar
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
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 χ^2 value, which characterizes the global discrepancy between the two measures, typically obeys a power-law dependence on the width ε 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 ε, and the χ^2 value obeys a modulated power-law dependence on ε.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review E
Numberingvol. 65, no. 3, pp. 036218-9
p-ISSN1539-3755
DOIhttps://doi.org/10.1103/PhysRevE.65.036218
URN:NBNurn:nbn:hr:217:937773
Publication2002
Document URLhttp://link.aps.org/doi/10.1103/PhysRevE.65.036218
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public noteCopyright (2002) by the American Physical Society.
Created on2019-10-13 11:52:01