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    Rights statement: Copyright 2000 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings, 502, 2000 and may be found at http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.1302426

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The role of noise in forming the dynamics of a quasiperiodic system

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The role of noise in forming the dynamics of a quasiperiodic system. / Khovanova, N. A.; Khovanov, I. A.; Anishchenko, V. S. et al.
In: AIP Conference Proceedings, Vol. 502, 2000, p. 488-493.

Research output: Contribution to Journal/MagazineJournal article

Harvard

Khovanova, NA, Khovanov, IA, Anishchenko, VS & McClintock, PVE 2000, 'The role of noise in forming the dynamics of a quasiperiodic system', AIP Conference Proceedings, vol. 502, pp. 488-493. https://doi.org/10.1063/1.1302426

APA

Vancouver

Khovanova NA, Khovanov IA, Anishchenko VS, McClintock PVE. The role of noise in forming the dynamics of a quasiperiodic system. AIP Conference Proceedings. 2000;502:488-493. doi: 10.1063/1.1302426

Author

Khovanova, N. A. ; Khovanov, I. A. ; Anishchenko, V. S. et al. / The role of noise in forming the dynamics of a quasiperiodic system. In: AIP Conference Proceedings. 2000 ; Vol. 502. pp. 488-493.

Bibtex

@article{8255764ff8ba4ba0bdce76842cff4cf8,
title = "The role of noise in forming the dynamics of a quasiperiodic system",
abstract = "The dynamical properties of the quasiperiodic logistic map with and without a very weak noise are compared, and the influence of noise on its strange nonchaotic attractor (SNA) is investigated. It is found that, in the presence of weak noise, the largest Lyapunov exponent gives misleading information about the dynamical properties of the attractor. We have shown that, in the presence of noise, the properties of strangeness and chaos are invariably associated, so that SNAs are not then observed during the transition to chaos from the torus.",
author = "Khovanova, {N. A.} and Khovanov, {I. A.} and Anishchenko, {V. S.} and McClintock, {Peter V. E.}",
note = "Copyright 2000 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings, 502, 2000 and may be found at http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.1302426 Proceedings of the Conference on Stochastic and Chaotic Dynamics (STOCHAOS), Ambleside, August, 1999.",
year = "2000",
doi = "10.1063/1.1302426",
language = "English",
volume = "502",
pages = "488--493",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics Publising LLC",

}

RIS

TY - JOUR

T1 - The role of noise in forming the dynamics of a quasiperiodic system

AU - Khovanova, N. A.

AU - Khovanov, I. A.

AU - Anishchenko, V. S.

AU - McClintock, Peter V. E.

N1 - Copyright 2000 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings, 502, 2000 and may be found at http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.1302426 Proceedings of the Conference on Stochastic and Chaotic Dynamics (STOCHAOS), Ambleside, August, 1999.

PY - 2000

Y1 - 2000

N2 - The dynamical properties of the quasiperiodic logistic map with and without a very weak noise are compared, and the influence of noise on its strange nonchaotic attractor (SNA) is investigated. It is found that, in the presence of weak noise, the largest Lyapunov exponent gives misleading information about the dynamical properties of the attractor. We have shown that, in the presence of noise, the properties of strangeness and chaos are invariably associated, so that SNAs are not then observed during the transition to chaos from the torus.

AB - The dynamical properties of the quasiperiodic logistic map with and without a very weak noise are compared, and the influence of noise on its strange nonchaotic attractor (SNA) is investigated. It is found that, in the presence of weak noise, the largest Lyapunov exponent gives misleading information about the dynamical properties of the attractor. We have shown that, in the presence of noise, the properties of strangeness and chaos are invariably associated, so that SNAs are not then observed during the transition to chaos from the torus.

U2 - 10.1063/1.1302426

DO - 10.1063/1.1302426

M3 - Journal article

VL - 502

SP - 488

EP - 493

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

ER -