Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion

Paar, Vladimir; Buljan, Hrvoje

doi:10.1103/PhysRevE.62.4869

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Scientific paper - Original scientific paper

Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion

Physical Review E, 62 (2000), 4; 4869-4872. https://doi.org/10.1103/PhysRevE.62.4869

Paar, Vladimir; Buljan, Hrvoje

Cite this document

APA 6th Edition

Paar, V. & Buljan, H. (2000). Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion. Physical Review E, 62. (4), 4869-4872. doi: 10.1103/PhysRevE.62.4869

MLA 8th Edition

Paar, Vladimir and Hrvoje Buljan. "Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion." Physical Review E, vol. 62, no. 4, 2000, pp. 4869-4872. https://doi.org/10.1103/PhysRevE.62.4869

Chicago 17th Edition

Paar, Vladimir and Hrvoje Buljan. "Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion." Physical Review E 62, no. 4 (2000): 4869-4872. https://doi.org/10.1103/PhysRevE.62.4869

Harvard

Paar, V. and Buljan, H. (2000) 'Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion', Physical Review E, 62(4), pp. 4869-4872. doi: 10.1103/PhysRevE.62.4869

Vancouver

Paar V, Buljan H. Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion. Physical Review E [Internet]. 2000 [cited 2024 December 15];62(4):4869-4872. doi: 10.1103/PhysRevE.62.4869

IEEE

V. Paar and H. Buljan, "Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion", Physical Review E, vol. 62, no. 4, pp. 4869-4872, 2000. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:987128. [Accessed: 15 December 2024]

Cite this item: https://urn.nsk.hr/urn:nbn:hr:217:987128

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Metadata

Title (english)	Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion
Author	Vladimir Paar
Author	Hrvoje Buljan
Author's institution	University of Zagreb Faculty of Science (Department of Physics)
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Physics
Abstract (english)	The average lifetime [τ(H)] it takes for a randomly started trajectory to land in a small region (H) on a chaotic attractor is studied. τ(H) is an important issue for controlling chaos. We point out that if the region H is visited by a short periodic orbit, the lifetime τ(H) strongly deviates from the inverse of the naturally invariant measure contained within that region [μN(H)-1]. We introduce the formula that relates τ(H)/μN(H)-1 to the expanding eigenvalue of the short periodic orbit visiting H.
Keywords (english)
Language	english
Publication type	Scientific paper - Original scientific paper
Publication status	Published
Peer review	Peer review - international
Publication version	Published version
Journal title	Physical Review E
Numbering	vol. 62, no. 4, pp. 4869-4872
p-ISSN	1539-3755
DOI	https://doi.org/10.1103/PhysRevE.62.4869
URN:NBN	urn:nbn:hr:217:987128
Publication	2000
Document URL	http://dx.doi.org/10.1103/PhysRevE.62.4869
Type of resource	Text
Access conditions	Open access
Terms of use
Public note	Copyright (2000) by the American Physical Society.
Created on	2019-10-10 18:47:26